The area of the shaded sector is 5 pi square meters. What is the area of the entire circle? Express your answer in terms of Pi. A circle. The shaded section has an angle measure of 100 degrees.

Recall that StartFraction Area of sector over area of circle EndFraction = StartFraction n degrees over 360 degrees EndFraction.

A) 12 pi
B) 14 pi
C) 18 pi
D) 20 pi

.5 lb

step-by-step explanation:

12 in / 6 in =2 in

.25 x 2 = .5 lb

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

22 dimes and 9 nickels

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4