Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
Answer:
233 in^3
Step-by-step explanation:
First we will find the volume of the square at the bottom
V = s^3 where s is the side length
V = 5^3
V = 125 in^3
Then we will find the volume of the rectangular prism at the top
V = l*w*h
V = 12*3*3
V =108 in^3
The total volume is the sum of the two volumes
V = 125+108
= 233 in^3
Answer: 125
Step-by-step explanation:
5^3=5*5*5=125
