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OlgaM077 [116]
3 years ago
7

Type the correct answer in each box. The volume of a cube is given by and the total surface area of a cube is given by , where s

is the side length of the cube. If the side length of a cube is 5 inches , the volume of the cube is ____ cubic inches and its total surface area is ____ square inches.
Mathematics
1 answer:
larisa86 [58]3 years ago
7 0

Answer:

hope this will help you a lot

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x-intercept: (9/4,0)

y-intercept: (0,−9)
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Mrs. Clever rolls a number cube once.
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Answer:

I think it would be 1 out of 6 or B.

Step-by-step explanation:

I think so because there are 6 sides to a cube and if Mrs.Clever only rolls it once then it would be 1 out of 6.

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3 years ago
Vanessa throws a tennis ball in the air. The function h(t) = -15t2 + 45t + 10 represents the distance in feet, that the ball is
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Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

30t = 45

t = 45/30

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) = -15(1.5)^2 + 45(1.5) + 10

h(1.5) = -15(2.25)+67.5+10

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5 0
3 years ago
1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

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3 years ago
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