Answer:
What are the statements?
Step-by-step explanation:
Getting rid of the decimal points, we realize that these numbers have a common denominator- 12. Since it takes Me 10 minutes to jog 1.2 miles, then it would take me 40 minutes to jog 4.8 miles
For the first question the answer is B. multiply 357.43 by 12 you'll get the answer $4,289.
Answer:
<em>The dimensions of the area will be 8 ft x 40 ft</em>
Step-by-step explanation:
<u>Area and Perimeter</u>
The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows


The dog trainer has 96 ft of fencing to cover a
rectangular area. This means that


A system of equations is formed

We divide the last equation by 2

solve for w

Replacing in the first equation

Operating and arranging


We have two possible answers

Which gives us

In any case, the dimensions of the area will be 8 ft x 40 ft
Answer:
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
Step-by-step explanation:
A. The formula for the volume of a hemisphere is ...
V = (2/3)πr³
For a radius of 5 m, the volume is ...
V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³
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B. The formula for the volume of a cylinder is ...
V = πr²h
For a radius of 5 m and a height of 12 m, the volume is ...
V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³
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C. Then the total volume is ...
V = hemisphere volume + cylinder volume
V = 261.799 m³ +942.478 m³ = 1204.277 m³
__
Rounded to the nearest integer, the volumes are ...
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
_____
As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.