Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

professional pay, continued 5. a charitable organization in a large cit…

Question

professional pay, continued

  1. a charitable organization in a large city will feed the hungry at a soup kitchen for about 65¢ per person. a professional athlete on a mlb team from the same city decides to donate 10% of his per - game pay to that good cause. how many people can get a warm meal from his generosity?
  2. a mlb professional athlete decides to order 4 porsches, fully loaded, one for each member of his family. the cars cost 20% of his salary.

a) calculate the cost of the cars.
b) unfortunately, he is moved to the minor leagues two months later, so his salary is reduced by 75%. what is his new salary?
c) the cost of the 4 cars is what percent of his new salary? (hint: car cost ÷ salary x 100%)
professional venues

  1. this is a baseball field.

behind homeplate is the catchers fence.
from catchers fence to outfield fence is approximately 120 feet.
the far outfield fence is a quarter circle.
find the length of the outfield fence.
formula: circumference =
therefore, the outfield fence length is:

Explanation:

Step1: Recall the formula for circumference of a circle

The formula for the circumference of a circle is \(C = 2\pi r\).

Step2: Calculate the length of the quarter - circle

Since the outfield fence is a quarter - circle and \(r = 120\) feet. The length \(L\) of a quarter - circle is \(\frac{1}{4}\) of the circumference of a full circle.

$$ LATEXBLOCK0 $$

Substitute \(r = 120\) into the formula:

$$ LATEXBLOCK1 $$

Taking \(\pi\approx3.14\), we get \(L\approx60\times3.14=188.4\) feet.

Answer:

The length of the Outfield Fence is approximately \(188.4\) feet.