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:Jason’s salary depends on the number of hours he works. The independent variable is the number of hours and the dependent variable is salary. Let x = the number of hours worked Let y = Jason’s salary The set of ordered pairs {(1, 10), (2, 20), (3, 30), (4, 40), (5, 50)} can be used to represent the function, assuming Jason earns $10 per hour The number of hours the train takes depends on the distance. The distance is independent and the number of hours is dependent. {(2,20)(4,40)(6,60)(8,80)(10,100)} For every 2 hours it takes 20 miles. The amount of money depends on the time worked.
Step-by-step explanation:
Answer:
To divide a whole or a decimal number by 100, move the decimal point two places to the left. Note that although a whole number does not have a decimal point, we can always add it at the end of the number. (For example, 35 and 35. are the same numbers.)
Step-by-step explanation:
Answer:
Step-by-step explanation:
35=-5t²+10t+22
5t²-10t+13=0
disc =b²-4ac=(-10)²-4×5×13=100-260=-160<0
t is imaginary.
So ball never reaches a height of 35 m
Answer:
Step-by-step explanation:
Hope this helped! :)
