if a rectangle is 95 meters long and 65 meters wide what is the diagonal​

Answer:

18

Step-by-step explanation:

(5+1)3=5*3+1*3=15+3=18

Answer:

14.06=703/50

Step-by-step explanation:

14.06=703/50

Answer:

what is the number in the word problem

Step-by-step explanation:

The measure of the hypotenuse is 25.0 units

Step-by-step explanation:

Let us revise how to find the length of the hypotenuse in a right Δ

∵ The legs of a right triangle measure 7 units and 24 units

∴ x = 7 units and y = 24 units

∵ [tex]z=\sqrt{x^{2}+y^{2}}[/tex]

- Substitute the values of x and y in the rule to find z

∵ [tex]z=\sqrt{(7)^{2}+(24)^{2}}[/tex]

∴ [tex]z=\sqrt{49+576}[/tex]

∴ [tex]z=\sqrt{625}[/tex]

∴ z = 25 units

∵ z is the hypotenuse

∴ The measure of the hypotenuse = 25 units

The measure of the hypotenuse is 25.0 units

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Answer:

6

Step-by-step explanation:

Answer:

[tex]5280 \: feet \: = 1 \: mile \\ \\ = > 1 \: mile \: = 5280 \: feet \\ \\ = > 3.5 \: miles \: = \: 3.5 \times 5280 \: feet \\ \\ = > 3.5 \: miles \: = \: 18480 \: feet[/tex]

Option B

When you roll two number cubes, the odds in simplest form against getting two numbers greater than 3 is 1 : 4

The probability of an event is given as:

[tex]\text {probability of an event }=\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}[/tex]

Given that,

Tow number cubes are rolled

To find: Probability of getting two numbers greater than 3

On a number cube there are 6 numbers {1, 2, 3, 4, 5, 6} Out of which 3 numbers are greater than 3 {4, 5, 6}

So, total number of possible outcomes = 6

Favourable outcomes = number greater than 3 = 3

When you roll one number cube, probability of getting number greater than 3:

[tex]\text { Probability (number greater than } 3 \text { ) }=\frac{3}{6}[/tex]

When you roll two number cubes, probabilty is given as:

[tex]\text { Probability (number greater than }3)= \frac{3}{6} \times \frac{3}{6}=\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}[/tex]

[tex]Probability = \frac{1}{4}[/tex]

In ratio form we can write as 1 : 4

Option B is correct

Answer:

Actually... It's A

Step-by-step explanation:

Odd against is not 1:4, it's most likely 4:1

1:4 is odds in favor, not odds against.

Answer:

angle b is 135 degrees

Step-by-step explanation:

lets work backwards to solve this

if angle c is 45, c is vertical to angle a, and we know vertical angles equal each other, we can reduce that angle a equals 45

if angle a is supplementary to angle b, and we know angle a is 45 degrees, we can make the equation 45+b=180. subtracting 45 from 180, we get 135 degrees for angle B

Answer: Third option.

Step-by-step explanation:

It is important to know the following:

1. The Slope-Intercept form of a Linear function is:

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

Where "m" is the slope of the line and "b" is the y-intercept.

Notice  that the highest exponent of the variable "x" is 1.

2. The General form of a Quadratic function is:

[tex]y=ax^2 + bx + c[/tex]

Where "a", "b" and "c" are known values ([tex]a\neq 0[/tex])

Notice that that the highest exponent of the variable "x" is 2.

The equation given in the exercise  is:

[tex]y= -3x^2+4[/tex]

Observe that highest exponent of the variable "x" is 2. Therefore, it is a Quadratic equation.

Therefore, making an exponent 1 instead of the exponent 2 would turn the given equation into a Linear function.

Final answer:

To turn the quadratic equation y = [tex]-3x^2[/tex] + 4 into a linear function, the exponent on the x term must be changed from 2 to 1.

Explanation:

The equation y =[tex]-3x^2[/tex] + 4 is a quadratic function due to the exponent 2 on the x term. To turn this equation into a linear function, we need to have the highest exponent of x equal to 1 since linear functions are of the form y = mx + b, where m and b are constants, and x is raised to the first power.

Therefore, the adjustment that would turn the equation into a linear function is to make the exponent 1 instead of 2.

Answer:

The Value of tan x is the option E.

[tex]\tan x=\dfrac{4}{3}[/tex]

Step-by-step explanation:

Given:

[tex]\textrm{Opposite side to angle x}= 8[/tex]

[tex]\textrm{Adjacent side to angle x}= 6[/tex]

To Find:

[tex]\\tan x=?[/tex]

Solution:

In a Right Triangle Tangent Identity is

[tex]\tan x= \dfrac{\textrm{side opposite to angle x}}{\textrm{side adjacent to angle x}}[/tex]

Substituting the values we get

[tex]\tan x= \dfrac{8}{6}=\dfrac{4}{3}[/tex]

The Value of tan x is the option E.

[tex]\tan x=\dfrac{4}{3}[/tex]

Answer:

55 minutes :)

Step-by-step explanation:

Rate of drop of temperature = Change in temperature/Rate

=> (165 - 135)/15

=> 30/15

=> 2 ⁰F/min

Now, The time at which the temperature of will be 70⁰F = 70/Rate

=> 70/2

=> 35 min

Time for 110⁰ F

=> 110/2

=> 55 min

Answer:

34 minutes

Step-by-step explanation: I just took the test

No, Sam is not correct. Cosine and sine are not always equal for congruent angles.

No, Sam is not correct. Congruent angles have the same measure, but cosine and sine are not always equal for congruent angles. Cosine measures the ratio of the adjacent side to the hypotenuse in a right triangle, while sine measures the ratio of the opposite side to the hypotenuse. These ratios are not the same in most cases, so cos X will not equal sin Y for congruent angles.

Answer:

70s-10       s=7

Step-by-step explanation:

first you want to multiply 7 * 10 which will give you 70 s -10 then you want to divide the 70 by 10 and you will get seven as your answer

Answer:

Step-by-step explanation:

7(10s-10)

= 70s - 70

Answer:

7

Step-by-step explanation:

The point is reflected over the x-axis so we just need to look at the y-value.

The distance between the two points will be twice the y-value.

|3.5 * 2| = 7

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

M is the Mid Point of HS and GT

To Prove:

Δ GMH ≅ Δ TMS

Proof:

In  Δ GMH and Δ TMS

M is the Mid Point of HS and GT ........{Given}  

     GM ≅ MT               ....……….{ M is the Mid Point of GT }

     HM ≅ SM               …………..{ M is the Mid Point of HS }

∠ GMH ≅ ∠ TMS         ....……….{ Vertical opposite angles are equal}

Δ GMH ≅ Δ TMS         ..........….{ By Side-Angle-Side test}  ...Proved

Answer:

The number of items are being purchased is 4 .

Step-by-step explanation:

Given as :

The time taken to process the payment = 27 seconds

The time taken to scan each items = 4 seconds

The total time taken to ring up a customer = 43 seconds

Let The number of items being purchased = n

Now, According to question

The total time taken to ring up a customer = The time taken to process the payment + The time taken to scan each items × The number of items being purchased

i.e 43 =  27 + 4 × n

Or, 4 × n = 43 - 27

Or,  4 × n = 16

∴ n = [tex]\dfrac{16}{4}[/tex]

I.e n = 4

So, The number of items being purchased = n = 4

Hence, The number of items are being purchased is 4 . Answer

Answer:

Step-by-step explanation:

A = L * W

A = 42

W = 3.5

now sub

42 = 3.5L <=== ur equation

Answer:

b, d, and e

Step-by-step explanation:

The analysis, the following statements are true:

The line goes through the origin.

The line is sloping upward.

The x-intercept is 0.

The equation of the line using the point-slope form of a linear equation:

Point-slope form: y - y₁ = m(x - x₁),

where (x₁, y₁) is a point on the line, and m is the slope.

Given:

Point (x₁, y₁) = (-4, -3)

Slope (m) = 3/4

Substitute these values into the point-slope form:

y - (-3) = (3/4)(x - (-4))

y + 3 = (3/4)(x + 4)

Now, let's simplify this equation:

y + 3 = (3/4)x + 3

y = (3/4)x

This is the equation of the line.

Now, let's evaluate the statements:

The line is horizontal. (False)

The slope of the line is 3/4, which means it has a positive slope and is sloping upward.

The line goes through the origin. (True)

The line does not pass through the origin (0, 0) because its y-intercept is 3.

The point (3, 4) lies on the line. (False)

Let's substitute the coordinates (3, 4) into the equation:

y = (3/4)x

4 = (3/4)(3)

4 = 9/4

Since 4 ≠ 9/4, the point (3, 4) does not lie on the line.

The line is sloping upward. (True)

The slope is positive (3/4), so the line is indeed sloping upward.

The x-intercept is 0. (False)

To find the x-intercept, set y = 0 and solve for x:

0 = (3/4)x

x = 0

This shows that the x-intercept is 0.

Based on the analysis, the following statements are true:

The line is sloping upward.

The x-intercept is 0.

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Use the formula (b/2)² in order to create a new term in order to find the perfect square trinomial.

a² - 2ab + b²

Answer:

The answer is never

Step-by-step explanation:

I hope this helps

Answer:

x=2 1/4

Step-by-step explanation:

Let's swap it around so its 1/3(8x+3)=7

Now you multiply both sides by 3 to make it 1(8x+3)=21

That means its 8x+3= 21

Subtract both sides by 3 to get rid of it

Now you have 8x=18

Which equals to x= 18/8

Which equals 2 1/4

Answer:

Rolling a 2 seven times = [tex]3.57\times 10^{-6}[/tex]

Step-by-step explanation:

Given:

A die is rolled seven times.

Number of possible outcomes in a die = {1, 2, 3, 4, 5, 6}

So, n(S) = 6

Now, rolling a '2' is given as:

[tex]P(2)=\frac{\textrm{Favourable outcome}}{\textrm{Total possible outcomes}}=\frac{1}{6}[/tex]

Now, rolling a die seven times resulting in a '2' is given as the product of the probability at each time.

Therefore, the experimental  probability of rolling a 2 seven times is given as:

[tex]=[P(2)]^7\\\\=(\frac{1}{6})^7\\\\=3.57\times 10^{-6}[/tex]

Answer:

A

Step-by-step explanation:

Note that (f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 6x² - 4 - (2x + 2) ← distribute parenthesis by - 1

= 6x² - 4 - 2x - 2 ← collect like terms

= 6x² - 2x - 6 → A

Answer:

A.  6x^2 - 2x - 6.

Step-by-step explanation:

( f - g)(x)

= 6x^2 - 4 - (2x + 2)

= 6x^2 - 4 - 2x - 2

= 6x^2 - 2x - 6.

Answer:

The System of equation are [tex]\left \{ {{3x+4y=44.50} \atop {4x+8y=84.00}} \right.[/tex]

Step-by-step explanation:

Let the Cost of bags of popcorn be 'x'.

Let the Cost of drinks be 'y'.

Given:

Kevin spends a total of $44.50 on 3 bags of popcorn and 4 drinks.

Now Total Money Spend by Kevin is equal to sum of Number of bags of popcorn multiplied by Cost of bags of popcorn and number of drinks multiplied by Cost of drinks.

framing in equation form with given details we get;

[tex]3x+4y=44.50[/tex]

Also Given:

Levi spends a total of $84.00 on 4 bags of popcorn and 8 drinks.

Now Total Money Spend by Levi is equal to sum of Number of bags of popcorn multiplied by Cost of bags of popcorn and number of drinks multiplied by Cost of drinks.

framing in equation form with given details we get;

[tex]4x+8y=84.00[/tex]

Hence The System of equation are [tex]\left \{ {{3x+4y=44.50} \atop {4x+8y=84.00}} \right.[/tex]

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x=y-2&(1)\\-3x+3y=6&(2)\end{array}\right\qquad\text{substitute (1) to (2)}\\\\-3(y-2)+3y=6\qquad\text{use the distributive property}\\-3y+6+3y=6\qquad\text{combine like terms}\\(-3y+3y)+6=6\\6=6\qquad\bold{TRUE}\\\\\text{That is why the system of equations has infinitely many solutions.}[/tex]

Answer: gay

Step-by-step explanation: y = mc2

Answer:

a. 1200          f. 900

b. 600           g. 5700

c. 900           h. 4800

d. 300           i. 8300

e. 800           j. 8500

Step-by-step explanation:

First of all, you need to compute the sums. I find a calculator handy for this.

To round to hundreds, you can examine the digit in the next place to the right of the hundreds place. That digit in the tens place needs to be compared to 5. If it is 5 or greater, add 1 to the digit in the hundreds place. After you have done that, set the digits to the right of the hundreds place to zero.

__

Alternatively, you can add 1/2 of 100 to the sum, then set the digits to the right of the 100s place to zero. (Adding 50 will only change the 100's place digit if the 10's place digit is 5 or more.) This method doesn't require you do any thinking about the size of the digit; it is purely mechanical.

The sums and their rounded values are ...

a. 1221 ⇒ 1200

b. 568 ⇒ 600

c. 931 ⇒ 900

d. 347 ⇒ 300

e. 798 ⇒ 800

f. 911 ⇒ 900

g. 5681 ⇒ 5700

h. 4766 ⇒ 4800

i. 8328 ⇒ 8300

j. 8507 ⇒ 8500

Answer:

11 minutes.

Step-by-step explanation:

To print 500 pages the first printer takes 20 minutes.

Then in one minute it can print [tex]\frac{500}{20} = 25[/tex] pages.

Again, to print 500 pages the first printer takes 25 minutes.

Then in one minute it can print [tex]\frac{500}{25} = 20[/tex] pages.

So, working together both the printer will print (20 + 25) = 45 pages in 1 minute.

Therefore, they will print 500 pages in [tex]\frac{500}{45} = 11.11[/tex] minutes ≈ 11 minutes. (Answer)

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

[tex]A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

[tex]A_t=\frac{1}{2}(b^2)sin(60^o)[/tex]

where b is the length side of the equilateral triangle

we have

[tex]b=9\ units[/tex]

[tex]A_t=\frac{1}{2}(81)sin(60^o)[/tex]

[tex]A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}[/tex]

[tex]A_t=81\frac{\sqrt{3}}{4}\ units^2[/tex]

step 2

Find the area of circle

The area of the circle is equal to

[tex]A_c=\pi r^{2}[/tex]

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

[tex]r=b\frac{\sqrt{3}}{6}[/tex]

where b is the length side of the equilateral triangle

we have

[tex]b=9\ units[/tex]

substitute

[tex]r=(9)\frac{\sqrt{3}}{6}[/tex]

[tex]r=3\frac{\sqrt{3}}{2}\ units[/tex]

Find the area

[tex]A_c=\pi (3\frac{\sqrt{3}}{2})^{2}[/tex]

[tex]A_c=\frac{27}{4} \pi\ units^2[/tex]

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

so

[tex]A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2[/tex]

Simplify

[tex]A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2[/tex]

Answer:

39 degrees

Step-by-step explanation:

The square indicates a right angle, or 90 degrees. 90-51=39.

Answer:

36.2

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(10)

To evaluate f(- 4) substitute x = - 4 into f(x)

f(x) = 7x - 4x + 3 = 3x + 3

f(- 4) = 3(- 4) + 3 = - 12 + 3 = - 9

(11)

To evaluate f(- 2) substitute x = - 2 into f(x)

f(- 2) = 2(- 2)² - 8 = 2(4) - 8 = 8 - 8 = 0

(12)

To evaluate g(- 3) substitute x = - 3 into g(x)

g(- 3) = - 2(- 3)² + 3(- 3) = - 2(9) - 9 = - 18 - 9 = - 27

Answer:

80 years old

Step-by-step explanation:

the ratio is 1:10 and their total is 88. Just by looking at it you can see that Geoff's age is 8 and Eathan is 80. The total is 88 and the ratio also matches.

1:10  1 times 10 is 10

8:80 8 times 10 is 80

Answer:

hi there!

The correct answer to this question is: 80 years old

Step-by-step explanation:

you first need to set up to equations:

in this case: I will use the variable "e" for Ethan and "g" for Geoff

e=10g

g + e = 88

since e = 10g, substitute that into the second equation and you get 10g + g = 88

you add the variables and you get 11g=88 then you divide 11 on both sides and you get 8 so geoff is 8

then you plug 8 back into the second equation and you get ethan's age which is 80