Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
Answer:
i’m pretty sure it is 3 but i could be wrong
Step-by-step explanation:
Using the formula y=200+50x, plug in x=1 to get y=250.
Answer:
there is no question for me to tell you what it is
Original Circle Area = 45
A = pi * r^2
Plug in what we know:
45 = 3.14 * r^2
Divide 3.14 to both sides:
14.3312102 = r^2
Find the square root of both sides:
r = 3.78565849
Find 2/3 of this:
2/3 * 3.78565849 = 2.52377233
So this is the radius of the newly dilated circle.
A = pi * r^2
A = 3.14 * 2.52377233^2
A = 3.14 * 6.36942677
A = 20
So the area of the newly dilated circle is 20 square inches.
