Answer:
Answer 1: <u>$6,289</u>
Answer 2: <u>$198</u>
Step-by-step explanation:
1-
a(10)=10,000(1+.05)^10
=16,288.95 =16,288-10,000=<u>$6,289</u>
2-
A(t)=pe^rt=a(10)=10,000e^(.05)(10)=16,487-10,000=6487
6487-6289=<u>$198</u>
The volume of the shaded region is 1650 cubic feet.
Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
