We are going to need to know the formula for the lateral surface area and volume of a cylinder in order to find our answers. Below are the equations:


is the height
is the radius
Using these formulas, we can solve these problems.


Answer:
28 miles
Step-by-step explanation:
Let w stand for the number of miles Derrick runs each week. Then after 4 weeks of training, he wants the total mileage to be 100 miles.
16 + 3w = 100
3w = 84 . . . . . . . subtract 16
w = 28 . . . . . . . . divide by 3
Derrick will run 28 miles each week to achieve his training goal.
Answer:
2.5
Step-by-step explanation:
This is a geometric sequence that increases by 2.5x.
120 x 2.5 = 300
300 x 2.5 = 750
Hope this helps!
Answer:
Step-by-step explanation:
<em>Note all arguments of trigonometric functions are in degrees.</em>
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Since tan(35)=4/(longer dotted leg of the triangle), the length of this longer dotted leg is thus 4/tan(35).
Since A=bh, the area is (4/tan35)(12), and you can just plug this into a calculator.