Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so

we have

Find the height of the right triangle applying the Pythagorean Theorem


The radius of the semicircle is half the height of triangle

substitute in the formula


Answer:
67 students voted for the eagle
Step-by-step explanation:
The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle
Total students who voted = 536
Falcon won with 5/8 of the votes
5/8 of 536
=5/8 × 536
= 2,680/8
= 335 votes
Falcons won with 335 votes
Remaining votes = Total votes - falcons votes
= 536 - 335
= 201 votes
There are 201 votes remaining
Eagle came second with 1/3 of the remaining votes
1/3 of the remaining votes
= 1/3 × 201
= 201/3
= 67 votes
67 students voted for the eagle
Answer:
Step-by-step explanation:
the lines weren't really clear so sorry if its a bit messy