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.
Answer:

Step-by-step explanation:
The number of times 10 can go in 52 will be the whole number

10 will go in 52 5times which will be 50 remainder two.The remainder will be the numerator

The denominator will be the original denominator (the number below)

Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

In this problem, the function is given by:
f(t) = -16t² + 100.
The outputs are given as follows:
- f(0) = -16(0)² + 100 = 100.
- f(0) = -16(2)² + 100 = 36.
Hence the average rate of change is given by:
r = (36 - 100)/(2 - 0) = -32 ft/s.
And the correct option is:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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Ricky jogged 6 miles on tuesday and 6 miles on friday
<em><u>Solution:</u></em>
Given that,
Rick jogged the same distance on tuesday and friday
Let "x" be the distance jooged on each tuesday and friday
He also jogged for 8 miles on sunday
Total of 20 miles for the week
Therefore, we frame a equation as,
total distance jogged = miles jogged on tuesday + miles jogged on friday + miles jogged on sunday
20 = x + x + 8
20 = 2x + 8
2x = 20 - 8
2x = 12
x = 6
Thus Ricky jogged 6 miles on tuesday and 6 miles on friday
Since the equation, <span>h=1.6a+41, is linear, we know that the coefficient of x, or in this case a, is the slope. Therefore the correct answer would be
</span><span>The model predicts that for each year older a male student is, he is about 1.6 inches taller.</span>