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:
x = 76
Step-by-step explanation:
The inscribed angle x is half the measure of its intercepted arc.
x =
× (102 + 50) = 0.5 × 152 = 76
Answer:
b=r/10 -a
Step-by-step explanation:
Answer:
150 minutes
Step-by-step explanation:
First we have to express all these fractions of an hour in minutes, then add them and get the total of minutes.
To pass these numbers in hours to minutes, we only have to multiply by 60 because one hour has 60 minutes.
3/4 h =
3/4 * 60 = 45m
5/6 h =
5/6 * 60 = 50m
11/12 h =
11/12 * 60 = 55m
to calculate the total number of minutes we have to add the 3 values that we have
45m + 50m + 55m = 150m
Answer:
157.5
Step-by-step explanation:
Try like this:
45 times 3.5