The perimeter of the polygon is 53.6 units.
Solution:
The reference image to the answer is attached below.
AP = 8, BQ = 7.8 and CR = 11
AP and AR are tangents to a circle from an external point A.
BP and BA are tangents to a circle from an external point B.
CQ and CR are tangents to a circle from an external point C.
<em>Tangents drawn from an external point to a circle are equal in length.</em>
⇒ AP = AR, BP = BQ and CQ = CR
AR = 8
BP = BQ
⇒ BP = 7.8
CQ = CR
⇒ CQ = 11
Perimeter of the polygon = AP + BP + BQ + CQ + CR + AR
= 8 + 7.8 + 7.8 + 11 + 11 + 8
= 53.6
The perimeter of the polygon is 53.6 units.
You can solve for C using the law of cosines.
P, Q, and R are the angles of the triangle and p, q, and r are the lengths of the sides of the triangle opposite of the angles. That means p = 10ft, q = 12ft, and r=5ft. The law of cosines states that:
Since we're looking for the measure of angle P, we would use the first equation,
. Plug the values we have for the sides of the triangle into the equation and solve for P:
The measure of angle P is about 55<span>
°.</span>
If 2 1/2 posterboard is enough for 1/2 of the project, it will take another 2 1/2 posterboard to display the other half of the project.
2 1/2 + 2 1/2 = 4 + 1/2 + 1/2 = 4 + 1 = 5
Answer: 5 posterboard.
Answer:
Grace and Claire’s parents are saving money now for their college education. Function 1 shows the growth of baby Grace’s college fund over time. Function 2 shows growth of baby Claire’s college fund over time.
Step-by-step explanation:
