Answer 144 ft2
Step-by-step explanation:
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: The secretary's salary prior to the reduction was $42,000.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)
Mathematically speaking:
x (4.5/100)= 1890
Solving for x:
x (0.045)= 1890
x = 1890/ 0.045
x = 42,000
The secretary's salary prior to the reduction was $42,000.
He has 5/8 yard of wire left because you turn 1/4 into 2/8 then, you subtract 2/8 from 7/8 and get 5/8
Answer:
Fraction = 1/4, Decimal = 0.25, Percent = 25%
Step-by-step explanation:
Given the picture, we can see the circle is divided into four pieces. One of the pieces is shaded. So, since we have one out of four pieces shaded, we would represent this as 1/4 as a fraction. As a decimal, enter 1 divided by 4 into your calculator, and it will give you 0.25. To find a percentage value, take your decimal and multiply it by 100. 0.25*100= 25%
