A 65 inch wide screen television actually describes the length of the diagonal of a rectangular television with a length of 63 inches. What is the width of the television?

Answers

Answer 1

For this question we need to use the Pythagorean Theorem (a2+b2=c2) since the rectangle is being divided into two triangles.

we know the length of the triangle (63) and we know the hypotenuse (65) but not the width. To find the width, we can plug the values we know into our formula.

(63) squared + b squared = (65) squared

solve.

3969 + b squared = 4225

subtract 3969 from both sides.

b squared = 256

√b² = √256

b=16


Related Questions

Our goal is to make add-on sales during 85% of sales. If you make 35 sales, how many add-on sales do.You need to make to meet the goal?

Answers

Answer:

30 add-on sales to make the goal

Step-by-step explanation:

multiply 35*85% (or 0.85)

  35*0.85 = 29.75

Since you can't make 0.75 of a goal, round up to the next highest number = 30

A non toxic furniture polish can be made by combining vinegar and oil. The amount of oil should be five times the amount of vinegar. How much of each ingredient is needed in order to make 27 oz of furniture polish?

Answers

There should be 4.5 oz of vinegar and 22.5 oz of oil

-5x+y=0

x+y=27

-6x=-27

The expression 2x(3x^2+4) can be simplified into which of the following?


a. 6x^3+4

b. 5x^3+6x

c. 6x^2+8x

d. 6x^3+8x

Answers

Answer:

[tex]\large\boxed{d.\ 6x^3+8x}[/tex]

Step-by-step explanation:

[tex]2x(3x^2+4)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(2x)(3x^2)+(2x)(4)\\\\=6x^3+8x[/tex]

Evaluate arccsc sqrt 2.

Answers

Answer:

{π/4 +2πn, 3π/4 +2πn}

Step-by-step explanation:

csc = 1/sin, so when csc(θ) = √2, sin(θ) = 1/√2. Then θ = π/4 or 3π/4.

This means arccsc(√2) will be the set of angles shown above.

___

Once you recognize that π/4 is one of the angles, you can eliminate all but the correct answer choice.

Of course this is much easier if you have memorized the short list of trig function values:

sin(π/6) = cos(π/3) = 1/2

sin(π/4) = cos(π/4) = 1/√2 = (√2)/2

sin(π/3) = cos(π/6) = (√3)/2

tan = sin/cos

sec = 1/cos

csc = 1/sin

Answer:

the above answer is correct

A Farmer divisids 20acre sections into 1-4 Acer sections into how many sections does the farmer divide her land

Answers

Answer:

80 - 1/4 acre sections

Step-by-step explanation:

If the farmer is dividing her land into 1/4 acre sections...

1. there will be 4 sections in one acre (4/4 = 1)

2. multiply 4 (sections) by 20 (acres)

    4*20 = 80

Which is the definition of a ray?

A.a part of a line that has one endpoint and extends indefinitely in one direction
B.the set of all points in a plane that are a given distance away from a given point
C.lines that lie in the same plane and do not intersect
D.a part of a line that has two endpoints

Answers

The correct answer is (A)!

Pham's annual salary is $78,000. Pham gets paid each month. Find Pham's monthly gross salary?

Answers

Answer:

Pham earns 6,500 per month.

Step-by-step explanation:

To get the monthly salary, divide the yearly salary by 12.

78,000/12 = 6,500

Answer:

78,000 / 12 = 6,500

Step-by-step explanation:

Pham's annual salary is $78,000

To find Pham's month salary

Divide 78,000 by 12

Thus 6,500

Which statement about function F and Function G is true?

Answers

Answer:

C. Both functions have a y-intercept of -2

Step-by-step explanation:

A. Function F in decreasing then increasing, therefore it's incorrect

B. Function F is symmetrical about the y-axis, but Function G is not

C. Both functions intercept the y-axis at (0,-2) so it's correct

D. Only function G shows a linear relationship.

To look at a picture of what Function G looks like. Press y= on your Ti-84 calculator (top left) put the function in, and then press graph (top right)

This is 100% correct. I took algebra 1 last year.

Joey runs diagonally across a rectangular field. The field had a width of 15 yards and a length of 36 yards. How far did Joey run

Answers

Answer:

Joey ran 39 yards

Step-by-step explanation:

a²+b²=c²

15²+36²=c²

225+1296=c²

1521=c²

√1521=√c²

39=c

Consider the function below. x -1 0 1 2 f(x) -2 3 8 13 Which of the following functions could be the inverse of function f? A. x 1 0 -1 -2 s(x) -2 3 8 13 B. x -2 3 8 13 q(x) -1 0 1 2 C. x -2 -3 -8 -13 r(x) 1 0 -1 -2 D. x -1 0 1 2 p(x) 2 -3 -8 -13

Answers

Answer: B

x         q(x)

-2          -1

3            0

8            1

13           2

Step-by-step explanation:

An inverse of a function is a reflection across the y=x line. This results in each (x,y) point becoming (y,x).

x         f(x)

-1          -2

0           3

1            8

2           13

So the inverse becomes:

x         Inverse

-2          -1

3            0

8            1

13           2

Answer:

The correct option is B.

Step-by-step explanation:

The table of values of a function is given below:

x    :     -1    0    1    2

f(x) :    -2    3     8   13

If a function is defined f:R→R

[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]

them the inverse of function is defined as

[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]

The table of values of inverse function is

x      :    -2    3     8   13

f⁻¹(x):     -1    0    1    2

We can say that q(x) is the inverse function of f(x). Therefore the correct option is B.

Mental break time. What is 1+1?
A) Not this one
B) Still not this one
C) 2
D) You've gone too far, go back to C

Answers

C is the correct answer. Appreciate it if you gave me brainliest!

Answer:

C

Step-by-step explanation:

and thank you for this it was funny and a good break from algebra 1! XD

Laura sold 3/4 of a case of Girl Scout cookies. Anna sold 2/3?Of a case. Witch girl sold more cookies?

Answers

we can simply put both fractions with the same denominator, and thus then we can just compare which numerator is larger.

we can do so by multiplying each fraction by the other's denominator, let's proceed.

[tex]\bf \stackrel{Laura}{\cfrac{3}{4}\cdot \cfrac{3}{3}}\implies \cfrac{9}{12}~\hfill \stackrel{Anna}{\cfrac{2}{3}\cdot \cfrac{4}{4}}\implies \cfrac{8}{12} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{Laura}{\cfrac{9}{12}}~>~\cfrac{8}{12}~\hfill[/tex]

If a fair die is tossed, find the probability that the uppermost face displays a(n):

Answers

if a fair dice is tossed the probability is (T, H) (H, T) ( T, T) (H, H)

Final answer:

A fair, six-sided die has six equally likely outcomes. The probability of any one face showing up when the die is tossed is 1/6 or approximately 0.1667. Probability is a long term expectation under ideal theoretical conditions.

Explanation:

The question is asking about the probability of each face showing up when a six-sided die is tossed. A fair, six-sided die has six possible outcomes: the faces are numbered 1, 2, 3, 4, 5, or 6. Each face is equally likely to be the uppermost face when the die is tossed. Therefore, the probability of any one face showing up is 1 out of 6, or approximately 0.1667.

Probability is a theoretical concept that tells us how likely an event is to occur. It does not describe the short-term results of an experiment. Rather, it gives information about what can be expected in the long term. Thus, if you were to toss a fair, six-sided die many times, you would expect that each face would come up about one-sixth of the time. This expectation is based on the assumption of ideal theoretical conditions where the die is fair.

Probability is a key concept in statistics and is used in many different areas of life, including in decision making, prediction, risk management, and games of chance.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ3

Match the following items by evaluating the expression for x = -6.

x^-2

x^-1

x^0

x^1

x^2

Choices:
1/36
-6
36
1
-1/6

Answers

Final Answer:

x^-2 matches 1/36

x^-1 matches -1/6

x^0 matches 1

x^1 matches -6

x^2 matches 36

Explanation:

When evaluating expressions with exponents for a specific value, we simply substitute that value for x and follow the order of operations (PEMDAS). Here's the breakdown for each expression:

x^-2: (-6)^-2 = 1/(-6)^2 = 1/36

x^-1: (-6)^-1 = 1/(-6) = -1/6

x^0: (-6)^0 = 1 (any non-zero number raised to the power 0 equals 1)

x^1: (-6)^1 = -6 (any non-zero number raised to the power 1 equals itself)

x^2: (-6)^2 = (-6) * (-6) = 36

Therefore, the matches are as listed above.

Find the length of the arc shown in brown. Leave your answer in terms of pi.

Answers

Answer:

The length of the arc is [tex]8\pi\ ft[/tex]  

Step-by-step explanation:

we know that

The measure of the arc shown in brown is equal to

[tex]180\°-60\°=120\°[/tex] -----> by central angle

Remember that

The length of the arc of the complete circle (360 degrees) is equal to the circumference

[tex]C=\pi D[/tex]

we have

[tex]D=24\ ft[/tex]

substitute

[tex]C=\pi (24)=24 \pi\ ft[/tex]

so

by proportion

Find the length of the arc for a measure of [tex]120\°[/tex]

[tex]\frac{24\pi }{360} \frac{ft}{degrees} =\frac{x }{120} \frac{ft}{degrees}\\ \\x=120*(24\pi )/360\\ \\ x= 8\pi\ ft[/tex]

Which choices correctly describe reflections in the diagram? Check all that apply.
1)The red triangle A is reflected across the x-axis onto triangle B.
2)The red triangle A is reflected across the y-axis onto triangle D.
3)The blue triangle D is reflected across the x-axis onto triangle C.
4)The blue triangle D is reflected across the line y = x onto triangle B.
5)The green triangle C is reflected across the line y = –x onto triangle A.

Answers

Answer:

2

3

5

.................................................

Answer:

2, 3, 4.

I don't have an explanation I just did the test.

You are standing 50 meters from a hot air balloon that is preparing to take off. The angle of the elevation to the top of the balloon is 28. Find the height of the balloon

Answers

Answer:

27 meters

Step-by-step explanation:

Think of it like a right triangle. One leg is 50m long (the distance you are from the balloon) and the goal is to find the other leg of the triangle. From the place you're standing, the angle is 28°. In relation to that angle, you're given the adjacent side (50m) and need to find the opposite side. Recall SOH-CAH-TOA. You have to use tangent to get the length. Tan = opposite/adjacent. The tan of 28 = x / 50. Use algebra to solve: tan28 (50) = x; aproximately 26.6m = x. So, the height of the hot air balloon is roughly 26.6m or 27m depending on how you round.

What is the are of a triangle (picture provided)

Answers

Answer:

Area Δ = 102.3 units² ⇒ The answer is (d)

Step-by-step explanation:

* Use the formula of the area:

∵ Area of the triangle = 1/2 (a)(b) sin(C)

∵ We have the length of the 3 sides

∴ Use cos Rule to find the angle C

∵ cos(C) = (a² + b² - c²)/2ab

∵ a = 25 , b = 13 , c = 17

∴ cos(C) = (25² + 13² - 17²)/2(25)(13) = 625 + 169 - 289/650 = 505/650

∴ m∠C = 39°

∴ Area Δ = (1/2)(25)(13)sin(39) = 102.3 units²

∴ The answer is (d)

Answer:

Area Δ = 102.3 units² ⇒ The answer is (d)

Step-by-step explanation:

Use the formula of the area:

∵ Area of the triangle = 1/2 (a)(b) sin(C)

∵ We have the length of the 3 sides

∴ Use cos Rule to find the angle C

∵ cos(C) = (a² + b² - c²)/2ab

∵ a = 25 , b = 13 , c = 17

∴ cos(C) = (25² + 13² - 17²)/2(25)(13) = 625 + 169 - 289/650 = 505/650

∴ m∠C = 39°

∴ Area Δ = (1/2)(25)(13)sin(39) = 102.3 units²

∴ The answer is (d)

A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Which equation represents the distance, d, that the car travels in m minutes?

Answers

Answer:

[tex]d=0.75m[/tex]

Step-by-step explanation:

Let

d------> the distance in miles

m----> the time in minutes

we know that

The speed is equal to divide the distance by the time

so

[tex]speed=d/m[/tex]

we have

[tex]d=2\frac{5}{8}\ miles=\frac{2*8+5}{8}=\frac{21}{8}\ miles[/tex]

[tex]m=3\frac{1}{2}\ minutes=\frac{3*2+1}{2}=\frac{7}{2}\ minutes[/tex]

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

so

In this problem the speed is the constant of proportionality

[tex]d=km[/tex]

Find the value of k

[tex]k=\frac{(21/8)}{(7/2)} =0.75\frac{miles}{minute}[/tex]

[tex]d=0.75m[/tex] ----> linear equation that represent the distance, d, that the car travels in m minutes

The temperature at 8:00am is 5 degrees Celsius and increases 2 degrees per hour. Does this equal y=2x+5

Answers

Yes.

y represents the temperature.

x represents the number of hours past 8:00am.



Please consider marking this answer as Brainliest to help me advance.

Answer:

no

got correct on algebra nation

What is SIN A?

Question 4 options:

3/4


4/3


3/5


4/5

Answers

Final answer:

The value of sin A cannot be determined without knowing the value of angle A.

Explanation:

The question is asking for the value of sin A. In mathematics, sin A represents the sine of angle A. The sine function is a mathematical function that relates the ratio of the length of the side opposite the angle to the length of the hypotenuse of a right triangle.

The correct answer to the question is 3/5. To find this value, you need to know the value of angle A. Without that information, we cannot determine the exact value of sin A.

Final answer:

The correct value of SIN A from the given options cannot be determined without additional context. SIN A refers to the ratio of the side opposite to angle 'A' to the hypotenuse in a right triangle or the y-coordinate on the unit circle at angle 'A'. Possible values are within the range of -1 to 1.

Explanation:

The question 'What is SIN A?' is seeking the trigonometric value of the sine function at a particular angle denoted by 'A'. When presented with options like 3/4, 4/3, 3/5, and 4/5, we need additional information regarding angle 'A' or the context of a right triangle or unit circle to determine the correct value. Without this information, we cannot definitively answer which option is correct.

Generally, in a right triangle, SIN A would represent the ratio of the length of the side opposite to angle 'A' to the length of the hypotenuse. Therefore, it is a value between -1 and 1. The options 3/4 and 3/5 could potentially be correct since they are within this range, but 4/3 cannot be because it exceeds this range. In a unit circle context, sin A would represent the y-coordinate of a point on the circle's circumference at an angle 'A' from the x-axis.

An example of dependent events is drawing a blue marble out of one jar and then drawing a

blue marble out of the another jar.

red marble out of the same jar, after replacing the first marble.

red marble out of the same jar, without replacing the first marble.

red marble out of another jar.

Answers

Answer:

red marble out of the same jar, without replacing the first marble.

Step-by-step explanation:

Dependant events means one depends on the other.  If you don't replace the first marble then the chance of drawing any other marble is changed.  To better see it try giving them numbers, how many blue and red marbles start in the jar  and calculate probability before and after removing a blue marble.  

Dependent events are those in which the outcome of one affects others. Drawing a marble from a jar and then drawing another without replacing the first one is an example of dependent events. Independent events don't affect each other, as when drawing marbles from different jars or replacing a marble before drawing another from the same jar.

The question you've asked pertains to the concept of dependent and independent events in probability theory. Dependent events are events in which the outcome of one affects the outcome of the others.

If we draw a blue marble from the jar and then, without replacing the first marble, we draw another marble, these are dependent events because the second event is affected by the outcome of the first.

On the other hand, if we draw a blue marble from one jar and then draw a marble from another jar, these are independent events because they do not affect each other.

Similarly, if we draw a marble from a jar, replace it, and then draw another, these are also independent events because putting the first marble back makes the second draw unaffected by the first one.

For more such questions on Dependent events, click on:

https://brainly.com/question/26303670

#SPJ12

How do i solve for X

2x+4-7x+9x= -2

What is X?

Answers

Answer:

x = -3/2  or  -1.5

Step-by-step explanation:

You have to get X on one side by itself.

2x + 4 - 7x + 9x = -2

Subtract the 4

2x - 7x + 9x = -6

Combine like terms

-5x + 9x = -6

Combine like terms

4x = -6

Divide by 4

x = -6/4

Simplify

x = -3/2  or  -1.5


Express the following rate as a unit rate.

answering 36 questions in 3 minutes

18 questions per minute
12 questions per minute
15 questions per minute
36 questions per minute

Answers

The answer is 12 questions per minute as you divide 36 by 3

Answer=12 questions per minute

Answer:

12

Step-by-step explanation:

Given the figure, what is x?
A) 216
B) 144
C) 96
D) 72

Answers

D) x = 72

If this helps, please mark brainliest

Answer:

if ur doing usa test prep it’s D) 72

Step-by-step explanation:

Which is the most appropriate to describe a quantity decreasing at a steady rate

Answers

Which is the most appropriate to describe a quantity decreasing at a steady rate?

With a linear equation.

Anita earns 60 points every time she shops at a grocery store.She needs a total of 2,580 points to receive a free prize.So far she has earned 480 points.How many more times will Anita have to shop at the grocery store in order to earn the additional points she needs for a prize?

Answers

Answer: 43 more times

2580÷60=43.

Step-by-step explanation: 43×60 =2580

This proves that 43 times is correct.

Answer:

c 43

Step-by-step explanation:

V^2-8v=0 solving quadratic equation

Answers

Answer:

  v = 0, or v = 8

Step-by-step explanation:

The quadratic can be factored, then the zero product rule applied.

  v^2 -8v = 0

  v(v -8) = 0

A product will be zero when any of the factors is zero. So, the solutions are values of v that make the factors be zero.

  v = 0

  v -8 = 0 . . . ⇒ . . . v = 8

Charles rolled a ball across the floor and noticed that it stopped before reaching the other side of the room. A force applied to the ball in the opposite direction in which it was rolling caused this to happen. What is the name of this force? A. Friction B. Gravity C. Electricity D. Magnetism

Answers

Answer:

Friction

Step-by-step explanation:

Because friction between the floor and the ball made the ball stopped from rolling.

Answer:

Friction

Step-by-step explanation:

The force that acts in opposite direction to the motion of the ball thereby causing it to stop is the force of friction.

This frictional force is a force of opposition that causes bodies moving in a particular direction to come to an halt. The force always acts in the opposite direction to the moving force acting on a body.

Translate the point (1, 3) to the new origin given ( h , k ). Given center ( h , k ) = (5, 4), find point ( x ', y ').

Answers

Answer:

(6,7)

Step-by-step explanation:

To translate a point, move each coordinate the specified amount and direction. Since the origin (0,0) moved to (5,4) or 5 right and 4 up, move (1,3) the same amount and direction. 1 moves right to 6. 3 moves up to 7. The new point is (6,7)

Answer:

(-4,-1)

Step-by-step explanation:

(h,k)=(5,4) and (x,y)=(1,3)

x' = x - h = 1 - 5 = - 4

y' = y -k = 3 - 4 = - 1

Other Questions
A city has a population of 380,000 people. Suppose that each year the population grows by 6.25 % . What will the population be after 8 years? Round to the nearest whole number. Read the excerpt from Fitzgeralds The Great Gatsby. My own house was an eyesore, but it was a small eyesore, and it had been overlooked, so I had a view of the water, a partial view of my neighbors lawn, and the consoling proximity of millionairesall for eighty dollars a month. What does this excerpt reveal about Nick? He is not particularly impressed by material wealth and fashionable appearances. He plans to move into another house as soon as the opportunity arises. He is wealthy enough to live in West Egg but not wealthy enough to rent a very nice place. He is desperate to become part of the elite society of West Egg and East Egg. I need help on this please guys, thank you.1. Add or subtract. Show your work for each problem by using boxes, circles, colored underlines, OR groupingto identify the like terms before you simplify.4 points each (1 point for correct answer, 3 points for showing ALL work.)a. (2x^2 4x+ 13)+ (12x^2 + 2x 25) b. (7x^2 + 4x 26) (7x^2 3x + 15)2. Multiply. Show all your work including boxes, circles, colored underlines, distributing, OR grouping to identifythe like terms before you simplify.6 points (1 point for correct answer, 5 points for showing ALL work)(5x 1)(6x^2 + 3x + 7)3. Find the roots. Show your work. List your steps correctly.6 points (2 points for correct answer, 2 points for showing ALL work, 2 points for writing the steps of theproblem)(n) = n^2 6n 16 I need your help with this problem Solve this with your work shown. (50 POINTS.) what atom is 10ne20 Please help me out................ Which polynomial identity will prove that 64+27=91?A. Difference of SquaresB. Difference of CubesC. Sum of CubesD. Square of a Binomial a dock worker pushes a 150.0 kg crate up a ramp that is 3.00 m high and 10.00 m long into the cargo bay of a ship. He exerts a 800.0 N force parallel to the ramp. find both the mechanical advantage and ideal mechanical advantage of the ramp. what is the efficiency of the ramp? A kite is designed on a rectangular grid with squares that measure 1cm by 1 cm. A hexagonal piece within the kite will be reserved for the company logo. Use the grid to identify the perimeter and area of the space reserved for the logo. p-6=-5 solve for the value of p Sierra listened to her playlist for 10 minutes. She listened to 3 songs. The first song lasted 192 seconds, and the second song lasted 231 seconds. How long was the third song? A map from trade development commissions or chamber of commerce can be more useful that google maps for identifyingmajor areas of commerce and location organizations to join for networking purposes available buildings for business expansion dalays due to construction How much heat is released when 47.50 g of CH4 (g) is burned in excess oxygen gas to produce carbon dioxide and water? Brooke is trying to take her test, but she keeps forgetting information and getting distracted. Which is a poor habit she is likely to blame for her problems?A) she arrived late to the testB) she didnt eat breakfast C) she missed a class the week before D) she didnt use flash cards how much tax is owned or how much refund is expected tax due 1324 and tax withheld 678 Please help and thank you Olivias dog is four years old. Her cat is one and a half years younger. How old is Olivias cat The formula for the volume of a sphere is V=4/3nr3 . What is the formula solved for r which statement describes joint committees? A. they contain members from both major political partiesB. once created, they will continue to function unless disbanded by the passage of a law.C. they function to serve the purpose of only the political party currently in the majority D. members are appointed by the president of the United States. Steam Workshop Downloader