Answer:
Step-by-step explanation:
The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45
The angle in the right triangle is given as 52.
The cos(52) = adjacent side (which we just found to be 6) / y
Multiply both sides by y
y cos(52) = 6
cos(52) = 0.6157
Divide by sides by cos(52)
y = 6 / cos(52)
y = 6 / 0.6157
y = 9.76
The greatest common factor is 48
To find the area of a sector of a circle use the next formula:

As the given circle has a outside angle 90º (it is not part of the sector of the circle) subtract the 90º from 360º (total angle of a circle) to find the angle of the sector:

Find the area of the sector with angle 270º:

Then, the approximate area of the given sector of a circle is 284.955 square inches
Answer:
2/3x
Step-by-step explanation:
This is a simple ax graph. all we need is the slope. the slope is the amount the y goes divided by the amount the x goes. essentially
change in y / change in x
2/3
2/3x
<span>-3(5+8r)=33-8r
-15 - 24r = 33 - 8r
-15 - 33 = - 8r + 24r
-48 = 16r
-48/16 = r
-3 = r
r = -3</span>