<span>A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?
The area of the circle will be found as follows:
the fraction of the sector=15/360=1/24
the area of the circle will be:
area=(fraction of the circle)/(fraction of the sector)*(area of the sector)
=1/(1/24)</span>×11.9
=285.6 m²
Answer:
Part 1) 
Part 2) The measure of the interior angles are 64°-67°-49°
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
In this problem

Solve for x
Combine like terms

Subtract 18 both sides


Divide by 6 both sides

step 2
Find the measure of each interior angle
substitute the value of x in each measure



Answer: 17.5 lbs of plums are required to make 20 rolls of fruit leather.
Step-by-step explanation:
Since 7 lbs of plums yield 8 rolls of fruit leather, 1 lb will yield 1 1/7 rolls of fruit leather.
To find how many pounds of fruit will yield 20 rolls of fruit leather, divide how many rolls of leather you want to get by how many rolls of leather one pound will yield.
20 divided by 8/7 equals 17 1/2.