Answer
The answer is in the step by step explanation
Step-by-step explanation:
YOU ARE LAZY TO FIND AN ANSWER ON YOUR OWN SO GET OUT OF HERE CHEATING LIL KID
The Pythagorean theorem is with right triangles. You know that a right triangle is formed from first to the mound to home-plate. So when you draw it out and label the sides you have one missing side. the Pythagorean theorem is a^2 + b^2 = C^2. the c side is always the slanted side. In this case the c side would be from homeplate to first base. So you just have to solve now. (33)^2 + (50)^2 = c^2. So 1089 + 2500 = c^2. Add together and you get: 3589 = c^2. Lastly take the square-root of 3589 and that is the answer. 59.9. So the answer is 59.9 feet.
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
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How to find the diameter of the ball?</h3>
Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:
135 days
Step-by-step explanation:
Often, we measure work in man·days. This piece of work requires ...
(45 man)·(90 days) = 4050 man·days
When there are only 30 men, the number of days required can be found by dividing this work by the number of men:
4050 man·days/(30 man) = 135 days
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Another approach is to realize the time is inversely proportional to the number of men. If the number of men is 30/45 = 2/3 the original, then the time will be 3/2 the original, or ...
(3/2)·90 days = 135 days.
Common difference = 2nd term - first term
= -13-(-6)
= -13+6
= -7
