The answer is 2.5 inches.
The volume (V) of the cylinder with radius r and height h is: V = π r² h
Let's express it in the terms of h: h = V / (π * r²)
We know that radius is half of the diameter:
r = 18/2 = 9 in
V = 405/2 π in³ = 202.5π in³
h = V / (π * r²)
h = 202.5π / (π * 9²)
h = 202.5π / 81π
h = 2.5 in
Answer:
<em>66°</em>
Step-by-step explanation:
mJK = ( 6x - 45 )°
mJH = ( x + 20 )°
mJK = mJH
6x - 45 = x + 20
5x = 65
x = 13
mHK = ( x + 20 )° + ( 6x - 45 )°
<em>mHK =</em> 2 × 33° = <em>66 </em>°
The correct answer is 6 3/8 cause 8 goes in to 51 6 times and there is 3 left so three eighths.
Answer:
$300
Step-by-step explanation:
Let Dave's saving be D and Sam's savings be S
- <u>"At first, the ratio of Dave's savings to Sam's savings was 5:4":</u>
- <u>"After each of them donated $40 to charity, the ratio of Dave's savings to Sam's savings became 13:10":</u>
<em>So we subtract 40 from each of them and then the ratio becomes 13 is to 10. Hence we can write:</em>
<em>Plugging in into S (as we found earlier), we can solve for D (our answer):</em>
So, Dave's savings at first, D, is $300.
Answer:
5:7
Step-by-step explanation: