Answer:
The ratio of the length of DE and the length of BC = 1/4
Step-by-step explanation:
From the figure we can see two sectors
<u>To find the length of BC</u>
The sector ABC with radius r and central angle 2β
BC = (2πr)( 2β/360)
= 4πrβ/360
<u>To find the length of DE</u>
The sector ADE with radius r/2 and central angle β
DE = (2πr/2)( β/360)
= πrβ/360
<u>To find the ratio of DE to BC</u>
DE/BC =πrβ/360 ÷ 4πrβ/360
= πrβ/360 * 360/ 4πrβ
=1/4
Answer:
B. 10/13
Step-by-step explanation:
There are 52 cards in a deck. Divide that by 4 and get 13, thats how many diamonds there are. There are 36 number cards. Since 9 of the cards in diamonds are numbers, we dont count those ones. 13-9 is 4, so we add that to our total to get 40. 40/52 is the same as 10/13.
Answer:
11 pounds
Step-by-step explanation:
16 ounces equal a pound so you need to do 176 / 16 = 11
V = π*r^2*h
(9000 in^3/min)*(10 min) = π*(72 in)^2*h
h = (90,000 in^3)/(5184π in^2) ≈ 5.5 in
Answer:
exact form log(32)
decimal form 1.50514997
Step-by-step explanation: