What's the volume of the prism?

Answer:

2 and 16

Step-by-step explanation:

Answer:

1, 2 and 5

Step-by-step explanation:

Answer:

[tex]y = x[/tex]

Step-by-step explanation:

Given

[tex]A =(6,3.7)[/tex]

[tex]B = (5.4,2)[/tex]

[tex]C = (1,3)[/tex]

[tex]A' = (3.7, 6)[/tex]

[tex]B' = (2, 5.4)[/tex]

[tex]C' = (3, 1)[/tex]

Required

The equation for the line of reflection

Taking points A and A' as a point of reference:

[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]

First, calculate the midpoint (M)

[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]

[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]

[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]

[tex]M = (4.85, 4.85)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]

[tex]m = \frac{2.3}{-2.3}[/tex]

[tex]m = -1[/tex]

The midpoint of a reflection is always perpendicular to the points being reflected.

So, the slope of [tex]M = (4.85, 4.85)[/tex] is:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2 = -\frac{1}{-1}[/tex]

[tex]m_2 = 1[/tex]

The equation is then calculated as:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (4.85,4.85)[/tex]

[tex]y = 1(x - 4.85) + 4.85[/tex]

[tex]y = x - 4.85 + 4.85[/tex]

[tex]y = x[/tex]

Hence, the equation of line of reflection is:

[tex]y = x[/tex]

Answer:

c

Step-by-step explanation:

Answer:

35 years old

Step-by-step explanation:

Let Janice's age = j.

Let Ross's age = r.

j = 5r

j = r + 28

Set the equations equal to each other.

5r = r + 28

4r = 28

r = 7

j = 5r

j = 5(7)

j = 35

Answer: 35 years old

Answer:

The slope is -1

Step-by-step explanation:

Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.

Answer:

0.00000368

Step-by-step explanation:

The dimensions of the rectangle will be (2x - 9)(x - 5).

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the area of the rectangle is represented by a quadratic equation 2x² - 19x +45.

The dimensions of the rectangle will be the factors of the quadratic equation.

2x² - 19x + 45

2x² - 10x -9x + 45= 0

2x( x - 5 )-9(x - 5)= 0

( 2x - 9 ) ( x - 5 ) = 0

Therefore, the dimensions of the rectangle will be (2x - 9)(x - 5).

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#SPJ2

Answer:  FALSE

Step-by-step explanation;

Answer:

there ok

Step-by-step explanation:

Answer:

True

False

False

True

Step-by-step explanation:

its not even 100 points

Answer: This is 9 points. True,False, False,True is the answer by the way.

Step-by-step explanation:

Answer:

Harry is paid £64

Step-by-step explanation:

To work this out you have to divide 48 ÷ 6 to get 8.

8 hours x £8 = £64

Answer:

64

you have to find the LCM of 48 including 6 and use the other number which is 8 and multiply it by how long Harry worked 8 hours which gives you £64

Answer: 52.8 kilometers

Step-by-step explanation:

This week she plans to run 2²/₅ times as much as last week.

If she ran 22 kilometers last week, then multiple 22 by 2²/₅ to find out the number of kilometers to run this week.

First convert the improper fraction to a proper one:

2²/₅ = 12/5

= 12/5 * 22

= 264/5

= 52.8 kilometers

Answer:

she can make 48 cookies.

Answer:

48

Step-by-step explanation:

If you divide 42 by 7 you get 6 so thats how many cookies she baked with one scoop. So then you add 6

Answer:

9

Step-by-step explanation:

please follow rate thank

Answer:

1.324

Step-by-step explanation:

Just divide 1324 by 1000 to get your conversion rate which is 1.324

If you check, to convert $1000 into Japanese Yen, by multiplying 1.324 with $1000, you'll get 1324 Yens

Answer: -1

Step-by-step explanation:

f(x)=-x-5

f(-4)=-(-4)-5

f(-4)=4-5

f(-4)=- 1

Answer:

20,250 square yards

Step-by-step explanation:

Formula: s^2 + 2st

75^2 + 2(75)(97.5)

5625 + 14,625

20,250

Answer:

y=x

Step-by-step explanation:

When y=x, then the line goes up 1 and right 1.

Answer:109.1 feet

Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}

cosN=

hypotenuse

adjacent

​

=

x

73

​

\cos 48=\frac{73}{x}

cos48=

x

73

​

x\cos 48=73

xcos48=73

Cross multiply.

\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}

cos48

xcos48

​

=

cos48

73

​

Divide each side by cos 48.

x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}

x=

cos48

73

​

=109.0968≈109.1 feet

Type into calculator and roundto the nearest tenth of a foot.

Answer:

44.7

Step-by-step explanation:

Find the mean of the data set shown below. Round to the nearest tenth, if necessary.

This Week's High Temperatures (°F)

29, 38, 45, 31, 50, 58, 62

The formula for the Mean of a given set of data is

= Sum of terms/ Number of terms

Number of terms = 7

Hence,

Mean = 29+ 38+ 45+ 31+ 50+ 58+ 62/7

Mean = 44.714285714286

Approximately to the nearest tenth= 44.7

Answer:

1,980 would be the area and the perimeter would be 39 im pretty sure

Answer:

4n+2

Step-by-step explanation:

your answer would be 33.

step 1

2(+14)−1(2−5)

2+28−1(2−5)

step 2 distribute

2+28−1(2−5)

2+28−2+5

step 3 then add the numbers

2+28−2+5

2+33−2

combine

2+33−2

ANSWER IS

33

Answer:

5 dollars for 1 sub

Step-by-step explanation:

y2-y1/x2-x1=unit rate

20-10/4-2

10/2

5

Answer

7:4

Step-by-step explanation:

The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.

Speed is the ratio of distance travelled to time taken. Speed is given by:

Speed = distance/time

Given that the runner is running at a rate of 12 mph for 15 min, hence:

speed = 12 mph, time = 15 min * 1/60 min per hour = 0.25 hours.

Hence:

Speed = distance/time

12 mph = distance/0.25 hours

distance = 3 miles

The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.

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Answer:

6 hours.

Step-by-step explanation:

The formula sort of has to be invented.

Al

rate = 1 shed / 2 hours

Tom

rate = 1 shed / x hours.

Together.

rate = 1 shed / 1.5 hours.

Equation

1 shed / 2 hours + 1 shed / x hours = 1 shed / 1.5 hours.

1/2 + 1/x = 1/1.5          Put the fractions over a common denominator.

(x + 2) / 2x = 1 / 1.5   Cross Multiply

1.5(x + 2) = 2x           Remove the Brackets.

1.5x + 3 = 2x             Subtract 1.5x from both sides

3 = 2x - 1.5x

3 = 0.5x                    Multiply both sides by 2

6 = x

It would take Al 6 hours to do the shed on his own.