According to the diagram which of the following statement is true?

Cos x =4/5
Sin x = 5/3
Tan x = 5/4
Cos x = 3/5

According To The Diagram Which Of The Following Statement Is True?Cos X =4/5Sin X = 5/3Tan X = 5/4Cos

Answers

Answer 1

We know that :

✿  [tex]\mathsf{Cos\theta = \frac{Adjacent\;Side}{Hypotenuse}}[/tex]

✿  [tex]\mathsf{Sin\theta = \frac{Opposite\;Side}{Hypotenuse}}[/tex]

✿  [tex]\mathsf{Tan\theta = \frac{Opposite\;Side}{Adjacent\;Side}}[/tex]

From the Figure :

✿  [tex]\mathsf{Cosx = \frac{4}{5}}[/tex]

✿  [tex]\mathsf{Sinx = \frac{3}{5}}[/tex]

✿  [tex]\mathsf{Tanx = \frac{3}{4}}[/tex]

Only 1st Statement is True

1st Option is the Answer


Related Questions

i will give the brainliest

Answers

Answer:

option 3

Step-by-step explanation:

sin45° = 11/BC

=>1/√2 = 11/BC

=>BC = 11√2

For this case we must find the hypotenuse (H) or the BC side of the rectangular triangle shown in the figure.

We have to:

[tex]Tangent (B) = \frac {Cathet \ opposite} {Cathet \ adjacent}\\Tangent (45) = \frac {11} {BA}[/tex]

By clearing BA we have:

[tex]BA = \frac {11} {Tangent (45)}\\BA = \frac {11} {1}\\BA = 11[/tex]

The Pythagorean theorem, which states:

[tex]BC = \sqrt {(CA) ^ 2 + (BA) ^ 2}\\BC = \sqrt {(11) ^ 2 + (11) ^ 2}\\BC = \sqrt {(11) ^ 2 + (11) ^ 2}\\BC = \sqrt {2 * 11 ^ 2}\\BC = 11 \sqrt {2}[/tex]

Answer:

[tex]BC = 11 \sqrt {2}[/tex]

Option C

What is the best approximation of the length of segment QS? (Note: cos 80° = 0.17)

(Round your answer to the nearest tenth.)

Answers

Answer:

Length of the segment QS = 11.76 cm

Step-by-step explanation:

We are given with right angle triangle QRS

Angle S is 80 degree and RS = 2 cm

We need to find out QS

RS is adjacent to angle S, so we use cos formula

[tex]Cos (A) = \frac{adjacent}{hypotenuse}[/tex]

[tex]Cos (S) = \frac{RS}{QS}[/tex]

Plug in the angle and RS

[tex]Cos (80) = \frac{2}{QS}[/tex]

Given cos(80) = 0.17

[tex]0.17= \frac{2}{QS}[/tex]

Multiply by QS on both sides

0.17 * QS = 2

Divide by 0.17 on both sides

QS= 11.76470588

Length of the segment QS = 11.76 cm

Round the numbers to the nearest cent and then to the nearest dollar. 23. $62.756 24. $38.415

Answers

Answer:

23.  $ 62.76  to the nearest cent

      $63.00 to the nearest dollar

24.  $ 38.42  to the nearest cent

      $38.00 to the nearest dollar

Step-by-step explanation:

When we round to the nearest cent we round the second number after the decimal.  We look at the third number after the decimal.  If it is 5 or above we round up.

When we round to the nearest dollar, we round the number befroe the decimal. We look at the number after the decimal.  If it is 5 or above we round up.

23.  $62.756  we round the 5 so we look at the 6   6>= 5  so we round up

         $ 62.76  to the nearest cent

    $62.756  we round the 2 so we look at the 7  7>= 5  so we round up

          $63.00 to the nearest dollar

24. $38.415 we round the 1 so we look at the 5   5>= 5  so we round up

         $ 38.42  to the nearest cent

    $38.415  we round the 8 so we look at the 4  4< 5  so we leave alone

          $38.00 to the nearest dollar

80 POINTS MATH

In the diagram at the right, in which position are the tips of the scissors farther apart? Explain your reasoning..

Answers


hey mate..

the position at which the tips of the scissors will be FARTHER APART is at position B.

as the angle made by the scissors at the centre is greater in position B.



Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-column proof of the theorem is shown, but the proof is incomplete. A triangle with vertices A is at 6, 8. B is at 2, 2. C is at 8, 4. Segment DE with point D on side AB and point E is on side BC. Statement Reason The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula Segment DE is half the length of segment AC By substitution Slope of segment DE is −2 and slope of segment AC is −2 Segment DE is parallel to segment AC Slopes of parallel lines are equal Which of the following completes the proof? By definition of congruence Addition property of equality By construction By the slope formula

Answers

Final answer:

The proof can be completed with the concept of the slope formula, which shows that two line segments with identical slopes equate to parallel lines. This fits perfectly in the context of the given two-column proof.

Explanation:

In the provided incomplete two-column proof, the statement in question infers that the segment DE is parallel to segment AC because they have the same slope. The reason for this, which completes the proof, would be the slope formula. The slope formula allows us to calculate the steepness, incline, or gradient of a line segment defined by two points in a 2D space. When applied to segments DE and AC, it gives us identical values, indicating that the two line segments are parallel as per the theorem stating that parallel lines have equal slopes.

Learn more about Slope Formula here:

https://brainly.com/question/40487904

#SPJ12

Final answer:

To complete the proof, the correct answer is 'By the slope formula'

Explanation:

To complete the proof, we need to show that the slopes of segment DE and segment AC are equal. By calculating the slopes using the slope formula, we can determine if they are indeed equal. Therefore, the correct answer is 'By the slope formula'.

Learn more about Geometry

https://brainly.com/question/24375372

#SPJ12

Problem 3 among the cast aluminum parts manufactured on a certain day, 80% were flawless, 15% had only minor flaws, and 5% had major flaws. find the probability that a randomly chosen part

a.has a flaw (major and minor).

b.has no major flaws.

Answers

Greetings!

Answer:

A) P(flaw) = 0.2

B) P(No major flaws) = 0.95

Step-by-step explanation:

A)

To find the probability of flaws, we can find the probability of no flaws first by dividing by 100:

P(no flaw) = [tex]\frac{80}{100}[/tex] = 0.8

So then:

P(flaw) = 1 - P(no flaw) = 1 - 0.8 = 0.2

P(flaw) = 0.2

B)

First, we need to find the probability of major flaws:

P(major flaws) = [tex]\frac{5}{100} = 0.05[/tex]

P(Major flaws) = 0.05

So to find the probability of no major flaws:

P(No major flaws) = 1 - P(major flaws) = 1 - 0.05 = 0.95

P(No major flaws) = 0.95


Hope this helps!
Final answer:

According to known percentages, it can be concluded that the probability a part has a flaw is 20% (0.20), and the probability a part has no major flaws is 95% (0.95).

Explanation:

This question is about probability in Mathematics. Specifically, it's based on the principles of probability distribution. Given that we know the percentages for flawless, minorly flawed, and majorly flawed parts, we can calculate the requested probabilities as follows:

The probability that a part has a flaw (major or minor) is the sum of the probabilities of a part having minor flaws and major flaws, so 15% + 5% = 20%, or 0.20 when expressed as a decimal.The probability of a part having no major flaws includes both flawless parts and parts with minor flaws. Therefore, its probability equals 80% + 15% = 95%, or 0.95 in decimal form.

Learn more about Probability here:

https://brainly.com/question/22962752

#SPJ2

What is the value of sin 0 given that (-3,7) is a point on the terminal side 0

Answers

Answer:

[tex]\frac{7\sqrt{58}}{58}[/tex]

Step-by-step explanation:

[tex]\\\text{Given that a point on the terminal side of }\theta \text{ is }(-3,7)\\\\\text{so the terminal side is in Quadrant II}\\\\\text{In the right triangle OMN, using Pythagorean theorem, we get}\\\\\text{ON}=\sqrt{(MN)^2+(OM)^2}\\\\\Rightarrow ON=\sqrt{(7)^2+(-3)^2}\\\\\Rightarrow ON=\sqrt{49+9}\\\\\Rightarrow ON=\sqrt{58}\\[/tex]

[tex]\\\text{we know that in Quadrant II, sine and cosecant are positive.}\\\text{so using the trigonometric ratios, we get}\\\\\sin \theta=\frac{\text{Opposite }}{\text{Hypotenus}}\\\\\Rightarrow \sin \theta=\frac{7}{\sqrt{58}}\\\\\Rightarrow \sin \theta=\frac{7\sqrt{58}}{58}\\[/tex]

Determine the range of the function: (0,2)(2,4)(4,6)(6,8)(8,10) Options: A) y<_10 B) {2,4,6,8,10} C) 2<_y<_10 D) {0,2,4,6,8,10#

Answers

(0, 2), (2, 4), (4, 6), (6, 8), (8, 10)

The domain is the set of the first coordinates of the points.

The range is the set of the second coordinates of the points.

The domain = {0, 2, 4, 6, 8}

The range = {2, 4, 6, 8, 10}

Answer: B) {2, 4, 6, 8, 10}.

Don’t mind my college name, I’m really in 8th grade and I’m really frustrated in this one.

Answers

Answer:

its ok to be mad just take your time

and try i bet you can do this just put in some thinking time

Step-by-step explanation:


An eccentric clockmaker built three different clocks. The first clock was a five-minute clock designed with an alarm set to sound each time the hand reached the number 2. The second clock was a six-minute clock designed to sound each time the hand reached the number 3. The third clock was a seven-minute clock designed to sound each time the hand reach the number 4. The clockmaker started the clocks simultaneously on day, and each clock began to sound at its appropriate time. Was there a time when all three clocks sounded their alarms together? If so, tell when it occurred and explain why. If not, explain why not.

Answers

Answer:

Yes, there was a time when the three alarms sounded together. It occurred 3 hours and 27 minutes after the clocks were started, and every 3 hours 30 minutes after that.

Step-by-step explanation:

We assume the clocks are numbered 1–5 on the 5-minute clock, 1–6 on the 6-minute clock, and 1–7 on the 7-minute clock. Then the alarm on each clock goes off 3 minutes before the clock repeats its timing action.

The least common multiple of the clock times is 5·6·7 = 210 minutes, or 3 1/2 hours. All clocks will simultaneously be 3 minutes before their repeat at 3 minutes before this 210-minute period is up.

That is, the clocks will simultaneously alarm 207 minutes after being started, and every 210 minutes after that.

_____

Comment on clock face numbering

If the clock faces are numbered 1–12, so the 5-minute clock alarms 5·(2/12) minutes = 50 seconds after being started, for example, then the alarms can never sound together. The clocks will come together at least once on any/every multilple of 1 minute, but not on any/every multiple of 10 seconds.

What is the effect on the graph of the function f(x) = x when f(x) is replaced with -1/2 f(x)?
A) vertical reflection over x-axis and vertical stretch

B) vertical reflection over x-axis and vertical compression

C) horizontal reflection over y-axis and horizontal stretch

D) horizontal reflection over y-axis and horizontal compression

Answers

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

[tex]f(x)=x[/tex]

The new function is

[tex]g(x)=-\frac{1}{2}f(x)[/tex]

[tex]g(x)=-\frac{1}{2}x[/tex]        .... (1)

It is in the form of

[tex]g(x)=mx[/tex]                   .... (2)

Where, m is a constant.

If m is negative, then there is a vertical reflection over x-axis. If the constant is greater than 1, we get a vertical stretch and  if the constant is between 0 and 1, we get a vertical compression.

From (1) and (2), we get

[tex]m=-\frac{1}{2}[/tex]

Since the value of m is negative and absolute value of m is between 0 and 1, therefore the graph g(x) shows the vertical reflection over x-axis and vertical compression.

Option B is correct.

Final answer:

The graph of f(x) = x, when modified to -1/2 f(x), undergoes a vertical reflection over the x-axis and a vertical compression by a factor of 1/2, resulting in answer B.

Explanation:

When the function f(x) = x is replaced with -1/2 f(x), the effect on the graph is two-fold. Firstly, there is a vertical reflection over the x-axis because of the negative sign.

This means that the graph is flipped over the x-axis, with points that were above the x-axis now being below it, and vice versa.

Secondly, there is a vertical compression by a factor of 1/2 due to the multiplier of -1/2. This compresses the graph towards the x-axis, making it 'flatter' than the original graph of f(x) = x.

Therefore, the correct answer to the question is B) vertical reflection over the x-axis and vertical compression.

How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?

Answers

Answer:

Your selection is correct: 180 hours

Step-by-step explanation:

The pool is apparently 18000 gallons (= 60 gal/h × 300 h). The combined flow from the two hoses is ...

... (40 gal/h) + (60 gal/h) = 100 gal/h

So, the time required with the two hoses is ...

... 18000 gal/(100 gal/h) = 180 h

Answer:

C) 180 hours

Step-by-step explanation:

Edge 2020

Social Science predicts that the population of barre, Vermont will double every 54 years. If the population in 1974 was 56000, in what year should we expect the population to reach 71000

Answers

Answer:

We should expect the population to reach 71000 in 1993.

Step-by-step explanation:

If the population will double every 54 years and the population in 1974 was 56000 people, then the function that represents this situation is

[tex]y=56000\cdot 2^{\frac{x}{54}},[/tex]

where x is time in years since 1974.

Nota that in 1974, x=0, then y=56000 and after 54 years the population will be [tex]y=56000\cdot 2^{\frac{54}{54}}=56000\cdot 2=112000.[/tex]

Therefore, you have to calculate x, when y=71000:

[tex]71000=56000\cdot 2^{\frac{x}{54}},\\ \\\dfrac{71}{56}=2^{\frac{x}{54}},\\ \\\dfrac{x}{54}=\log_2\dfrac{71}{56},\\ \\x=54\log_2\dfrac{71}{56}\approx 18.49[/tex]

Thus, we should expect the population to reach 71000 in 1993 (after full 19 years).

4 times a number is 8 more than 40. what is the number?

Answers

Answer:

The number is 12

Step-by-step explanation:

4 times a number is 8 more than 40

Write the equation

4n=40+8

4n =48

Divide each side by 4 to isolate n

4n/4 = 48/4

n = 12


The sum of two numbers is 52 . The smaller number is 16 less than the larger number. What are the numbers?

Answers

Let the Smaller Number be : S

Let the Larger Number be : L

Given : The Sum of Two Numbers is 52

⇒ S + L = 52 --------------- [1]

Given : The Smaller Number is 16 Less than Larger Number.

It Means if we Add 16 to the Smaller Number, It should be Equal to the Larger Number

⇒ S + 16 = L

⇒ S = L - 16 ------------------ [2]

Substituting Equation [2] in Equation [1], We get :

⇒ L - 16 + L = 52

⇒ 2L = 52 + 16

⇒ 2L = 68

⇒ L = 34

Substituting L = 34 in Equation [2], We get :

⇒ S = 34 - 16

⇒ S = 18

⇒ The Larger Number is 34

⇒ The Smaller Number is 18

Final answer:

The two numbers are 34 and 18; 34 being the larger number and 18 being the smaller number.

Explanation:

This is a common type of problem in algebra called a system of linear equations. We can solve it step by step.

First, let's assign variables to the unknowns. Let's let 'x' be the larger number and 'y' be the smaller number. The problem gives us two equations: x + y = 52 and y = x - 16. Next, we can substitute the second equation into the first one. This gives us: x + (x - 16) = 52.Combine like terms to simplify the equation: 2x - 16 = 52.Add 16 to both sides to isolate '2x': 2x = 68.Finally, divide both sides by 2 to find the value of 'x': x = 34. By substituting 'x' into the second equation, we can also find 'y': y = 34 - 16 = 18.

So, the larger number is 34 and the smaller number is 18.

Learn more about System of Linear Equations here:

https://brainly.com/question/20379472

#SPJ2

6(t-2)-76=-142 solve for t

Answers

Answer:

t= -9

Step-by-step explanation:

Add 76 to both sides

6(t-2)= -142+76

Simplify -142+76 to -66

6(t-2)=-66

Divide both sides by 6

t-2= -66/6

Simplify 66/6 to 11

t-2= -11

Add 2 to both sides

t= -11+2

Simplify -11+2 to -9

t= -9

I hope this helps you

6t -12 -76 =-142
6t = 88 -142
6t = -54
t = -9

Hope it helps!
#MissionExam001

Suppose you have 15 muffins. How many muffins ate left after you give a friend 1/3 of them

Answers

Answer:

10 muffins

Step-by-step explanation:

If you give away 1/3 of your muffins

1/3 * 15 = 5

You will give away 5 muffins

15 -5 =10

You will have 10 muffins left


Devonte opens a savings account by making a deposit of $249.45. Every week, he deposits another $31.75 in the account. Which expression shows the amount of money that will be in the account 'w' weeks after the account is opened?

Answers

To find the total you would need to multiply the 31.75 by w to get the total amount of his weekly deposits, then that would get added to the initial amount of 249.45


The equation would be 249.45 + 31.75w

Answer:

249.45 +31.75w

Step-by-step explanation:

When w = 0, the amount is 249.45. This eliminates the first two choices.

When w = 1, the amount is 31.75 greater than 249.45. This eliminates the last choice.

The remaining choice is the correct one:

... 249.45 +31.75w

It shows the account balance is initially 249.45 and increases with increasing w at the rate of 31.75 per week.

The percentage of people accessing the Internet increased from 61 % in 2000 to 87​% in 2012. Describe the change as an absolute change in terms of percentage points.

Answers

Answer:

26%

Step-by-step explanation:

We are given that the percentage of people accessing the Internet increased from 61 % in 2000 to 87​% in 2012.

So we can describe the change as an absolute change in terms of percentage points by calculating the difference in the two percentages:

Absolute change in terms of percentage = 87 - 61 = 26%

Therefore, there is a 26% absolute change in the percentage of people accessing the internet.

Answer: There is an absolute change of 2.16%.

Step-by-step explanation:

Since we have given that

Percentage of people accessing the internet in 2000 = 61%

Percentage of people accessing the internet in 2012 = 87%

So, there is an increment of some percentage, and we need to find that percent.

so, Absolute change in terms of percentage is given by

[tex]\dfrac{87-61}{2012-2000}\\\\=\dfrac{26}{12}\\\\=2.16\%\\[/tex]

Hence, there is an absolute change of 2.16%.

Christy and Seth are measuring water in a rectangular prism. They know the volume of the container. Christy suggests that they solve for the width of the prism. Transform the formula to find the volume of a rectangular prism to solve for width (w). Solve for w: V = lwh

Answers

Answer:

d) V/(lh) = w

Step-by-step explanation:

The appropriate solution divides the equation by the coefficient of w, which is lh. In answer selection (d), that is done by first dividing by l, then by h.

_____

Comment on the solution

One could just divide by l·h and be done with it.

Given -3x + 2y = 1 and x = 5, solve for y.

a.-7

b.7

c.-8

d.8

Answers

Answer:

d. 8

Step-by-step explanation:

Given: -3x + 2y = 1 and x = 5

Now plug x =5 in the given equation and find the value of y.

-3(5) + 2y = 1

-15 + 2y = 1

2y = 1 + 15

2y = 16

Dividing both sides by 2, we get

y = 8

Thank you.


Answer: [tex]y=8[/tex]

Step-by-step explanation:

1. You already know the value of the variable [tex]x[/tex], which is:

[tex]x=5[/tex]

2. Therefore, you need to substiute the value  [tex]x=5[/tex] into the equation [tex]-3x+2y=1[/tex] and then you must solve for [tex]y[/tex], as following:

[tex]-3x+2y=1\\-3(5)+2y=1\\-15+2y=1\\2y=1+15\\2y=16\\y=\frac{16}{2}\\y=8[/tex]

3. The result is: [tex]y=8[/tex]


H= 62.4NS/33,000 solve for N

Answers

Answer:

N = 33,000H/(62.4S)

Step-by-step explanation:

Multiply the equation by the inverse of the coefficient of N.

... N = 33,000H/(62.4S)

Answer:

33,000

Step-by-step explanation:


Given the following figure, what is the value of x? PLZ HELP ASAP WILL MARK BRAINIEST

Answers

Answer:

The value of x = 11

Step-by-step explanation:

It is given that, the figure shows a pentagon.

The sum of angle of pentagon = 540

So we can equate these 5 angles to 540

To find the value of x

13x + 6 + 9x - 6  + 92 + 12x + 84 = 540

34x  + 166 = 540

34x = 540 - 166

34x = 374

x = 374/34 = 11

Therefore the value of x = 11

1.) A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs? Show your work

2.) . Due to the increased rate of its rent, the Neat Novelties Store had to markup the cost of its helium balloons by 7%. The store’s original cost for a bunch of 8 primary-colored helium-filled balloons was $7.00. What was the selling price after markup? Show Work

3.) Cecil Home Builders are offering 10% off the option of finishing a basement on all the new homes they are currently building in the Miller Falls Subdivision. The original cost for the finished basement option is $12,000. What is the cost to the buyer after the discount? Show Work

Answers

Hi There!

------------------------------------------------

Question #1:

A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs?

40% = 0.4

15 * 0.4 = $6 (Discount)

15 - 6 = $9 (Sale Price)

Answer: $9

------------------------------------------------

Question #2:

Due to the increased rate of its rent, the Neat Novelties Store had to markup the cost of its helium balloons by 7%. The store’s original cost for a bunch of 8 primary-colored helium-filled balloons was $7.00. What was the selling price after markup?

7% = 0.07

7 * 0.07 = $0.49 (Increase)

7 + 0.49 = $7.49 (Price after Increase)

Answer: $7.49

------------------------------------------------

Question #3:

Cecil Home Builders are offering 10% off the option of finishing a basement on all the new homes they are currently building in the Miller Falls Subdivision. The original cost for the finished basement option is $12,000. What is the cost to the buyer after the discount?

10% = 0.1

12,000 * 0.1 = $1,200 (Discount)

12,000 - 1,200 = $10,800 (Price after Discount)

Answer: $10,800

------------------------------------------------

Hope This Helps :)

1. ANSWER: $9. 15/10=1.5, 1.5•6=9

please help me asap!

Answers

ANSWER

[tex]y = 2x - 4[/tex]

EXPLANATION

To find the equation of BC, we must find the slope and use the point B(4,4) with the slope to find the equation.

We know the slope of BC is perpendicular to the slope of AB.

But the slope of AB
[tex] = \frac{4 - 5}{4 - 2} [/tex]

[tex] = - \frac{1}{2} [/tex]

The slope of BC is the negative reciprocal of the slope of AB, which is
[tex] = - \frac{ 1 }{ - \frac{ 1}{2} } [/tex]
[tex] = - 1 \times - \frac{2}{1} = 2[/tex]

The equation in slope intercept form is given by,

[tex]y = mx + c[/tex]

This implies that,

[tex]y = 2x + c[/tex]

The point B(4,4) lies on this line so it must satisfy its equation,

[tex]4 = 2(4) + c[/tex]

[tex]4 = 8 + c[/tex]

[tex]c = 4 - 8 = - 4[/tex]

The required equation is,

[tex]y = 2x - 4[/tex]

The correct answer is A

In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE ║ AB . If m∠ADE is with 34° smaller than m∠CAB, find the measures of the angles of ΔADE.

Answers

Answer:

ADE = 34°

Step-by-step explanation:

To solve a question in which a shape is described, the first step must be to draw a diagram based on the information provided. Based on the information provided in a diagrammatic form, it can be seen clearly that lines DE and BA are parallel. Therefore, angle ADE and DAB are equal. It is also mentioned that line AD is the bisector of angle CAB. From the information provided, below correlations are determined.

CAB - 34 = ADE

ADE = DAB

DAB = DAC

CAB = DAB + DAC

This gives:

CAB = 2xDAB = 2xADE

When the above equations are reduced,

CAB - 34 = ADE

2xADE - 34 = ADE

ADE = 34°

solve the equation. plesse help.

Answers

x = 2. 11 to the 4th power (2(2)) is equal to 14641.

Answer:

x = 2

Step-by-step explanation:

[tex]11^{2x}=14641\\11^{2x}=11^4\\2x = 4\\x = 2[/tex]

Can someone help me figure out the answer?

Answers

Answer:

f(t) = 5×0.87^t

Step-by-step explanation:

The general form for an exponential function described in this fashion is ...

... f(t) = (starting value) × (1 + (percent change))^t

Here, the "percent change" is -13%, or -0.13.

Then the value (1 + percent change) is (1 + (-0.13)) = 0.87. Putting this and the starting value into the form above, we have ...

... f(t) = 5 × 0.87^t

Please answer ASAP!! which of the following is closest to 0.25 and why?
A) 9/40 B)5/16 C) 9/32 D) 0.28 E) 15/64

Answers

Answer:

E) 15/64

Step-by-step explanation:

To compare the numbers, it works best to express them all using a common denominator. One possibility is 1600, another is 1,000,000.

9/40 = 360/1600

5/16 = 500/1600

9/32 = 450/1600

0.28 = 448/1600

15/64 = 375/1600

The number we're comparing to is 0.25 = 400/1600, so we want to find the closest number to 400 in the set ...

... {360, 500, 450, 448, 375}.

The magnitude of the differences of these numbers from 400 is ...

... {40, 100, 50, 48, 25}.

Clearly, the last number, 15/64 = 375/1600 has the smallest difference from 0.25.

Hey there!

“Which of the following is closest to[tex]0.25[/tex] and why?”

Options

A. [tex]\frac{9}{40}[/tex]

B. [tex]\frac{5}{16}[/tex]

C.[tex]\frac{9}{32}[/tex]

D. [tex]0.28[/tex]

E. [tex]\frac{15}{64}[/tex]

Process of elimination

Well,

Option A can’t be your answer because, [tex]\frac{9}{40}[/tex]equals [tex]0.225[/tex] in decimal form

Option B  can’t be your answer because [tex]\frac{5}{16}[/tex] equals [tex]0.3125[/tex] in decimal form

Option C can’t be your answer because [tex]\frac{9}{32}[/tex]  equals [tex]0.234375[/tex] in decimal form

Option D. Could be your answer  because it’s a tad bit closer by a tad bit but let’s check for option E

Option E can but can’t be your because[tex]\frac{15}{64}[/tex] equals [tex]0.234375[/tex]

This leaves us with  [tex]\boxed{OptionE. \frac{15}{64} }[/tex] as your result

Good luck on your assignment and enjoy your day

~LoveYourselfFirst:)


n trapezoid STUV, SW is an altitude. Which is equivalent to the measure of angle m + n + p if m angle VSW = 65 degrees?

Answers

Answer:

The measure of angle m+n+p is equivalent to 205° (Fourth option)

Step-by-step explanation:

In a quadrilateral, the sum of the interior angles must be equal to 360°:

S=m+n+p+m<VSW+m<WST=360°

m<VSW=65°

Like SW is an altitude, m<WST=90°

Replacing the known values in the formula above:

m+n+p+65°+90°=360°

Adding like terms:

m+n+p+155°=360°

We want m+n+p, then subtracting 155° both sides of the equation:

m+n+p+155°-155°=360°-155°

m+n+p=205°

Answer:

4th Option is correct.

Step-by-step explanation:

Given: STUV ia a trapezoid that is ST is parallel to UV

          SW is altitude that is m∠ SWV = 90°

          m∠ VSW = 65°

To find: measure of m + n + p

Since, ST is parallel to UV.

⇒ n + p = 180° because Sum of Interior Angle on the same side of traversal is 180°

Now, In ΔSVW

∠SVW + ∠SWV + ∠WSV = 180° (Angle sum property of triangle)

m + 90° + 65° = 180°

m + 155 = 180

m = 180 - 155

m = 25°

Thus,  m + n + p = 25 + 180 = 205°

Therefore, 4th Option is correct.

Other Questions
World war one slowly escalated into a worldwide conflict since European powers were trying to be extremely prudent diligently attempting to avoid war True Or False? What is the slope of the line from point (-4,2) to (-2,2)? Ming is given the following function and asked to find b. f(x)=15(b)x If f(4) = 1215, what is one possible value of b? How does an authors name appear on rhe works cited page? Jenson had 558 game cards. He lost 92 of them in a game and gave 105 game cards to his brother. How many game cards had he left ? Ayer yo _____ con mi madre por dos horas. (hablar)hablabahablhablohablan the commodity exported by opec members is ? roman society was composed of which two groups? Patrons 7.2 cw homework help Did you know that lions are friendly? Lions are very sociable, at least with each other. They live in groups called "prides." Once in a pride, the females stay together for life. As a result, the females are able to pass on important knowledge to the cubs, including the pride's territory and the best places to hunt and find water. The females do all the hunting for food. However, the males protect the pride. A lion pride is like a large family. How many support sentences does the paragraph contain? What are the beliefs of Shintoism? Think about the initial conflict: Neto wonders whether he can play football for fans who are making racist comments. How is the conflict complicated? Check all that apply. The football coach disagrees with Netos decision to quit the team. The president of the student council agrees to help Neto. The principal denies that the crowds have said anything racist. Most of the players change their minds about quitting and continue to play football. The fans stop making racist comments. sole for y y-5=1/3(x-12) Potential test questions should not be part of a study guide because they will always be reviewed in your study group.Please select the best answer from the choices providedTF Which details are important to include in a summary about how women in the 1890s excelled in bicycle racing, despite some disapproval? Check all that apply. Women were strong competitors. Men frequently watch other men compete, so it is not surprising that women attended cycling races. Some people thought that it was "disgusting and degrading" for women cyclists to compete. Women worked to break each other's records in cycling. A New York Times reporter attended and reported on Jane Yatman's performance. Irene Brush rode 200 miles in 22 hours. Which theme would best describe Proctor's final decision in the play?Question 15 options:Personal honor determines a person's self-worth and value.Government hierarchy should be fought to one's death.Forgiveness can be extended to the guilty as well as the innocent.Justice can be evil. What are the two very important things that we get out of photosynthesis? Now think...why are those SO important? Solve for x 13x-7 11x+11 Compare photons and electrons. Which of the following statements is true? Match each type of cause with the source that could shed light on that cause. Steam Workshop Downloader