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:
Step-by-step explanation:
Volume of cylinder = base area * height
height of the cylinder = Volume of the cylinder ÷ base area
= 1205.76 ÷ 200.96
= 6 in
Answer:
ABOUT 13 PERCENT
Step-by-step explanation:
I AM NOT CERTAIN BUT I GOT IT BY:
NEW PRICE - OLD PRICE divided by OLD PRICE X 100
Answer:
4/5 is grater than 45/100
Step-by-step explanation:
Why?
because in percentage you make the bottom # a 100 one of them already has that and when it has 100 on the bottom it tells you that the top # is the percentage so 45/100 is 45%
now to make 4/5 a percentage what times 5 = 100?
20 does
so you times the top and bottom by 20
4*20= 80
now your fraction is 80/100 (top # tells you the %)
it's 80%
80% is grater than 45%
3 because there are four sides so 3+3+3+3=12
