Answer:
The answer to your question is r = 4 in
Step-by-step explanation:
Data
Volume = 4000 π in³
height = 250 in
radius = ?
Process
1.- Look the formula to calculate the volume of a cylinder
Volume = πr²h
2.- Solve for r²
r² = Volume / πh
3.- Substitution
r² = 4000π / π(250)
4.- Simplification
r² = 16
r = √16
5.- Result
r = 4 in
Answer:
it's the first one 49.96÷5
Answer:
c) x = 11
Step-by-step explanation:
Given equation: 7x - 9 = 28 + 4(x - 1)
<u><em>Steps:</em></u>
1. Distribute 4 through the parentheses:
7x - 9 = 28 + 4(x) + 4(-1)
7x - 9 = 28 + 4x - 4 [simplify]
7x - 9 = 24 + 4x
2. Subtract 4x from both sides:
7x - 4x - 9 = 24 + 4x - 4x
3x - 9 = 24
3. Add 9 to both sides:
3x - 9 + 9 = 24 + 9
3x = 33
4. Divide both sides by 3:
3x ÷ 3 = 33 ÷ 3
x = 11
5. Check your work:
7x - 9 = 28 + 4(x - 1) [substitute 11 for x]
7(11) - 9 = 28 + 4(11 - 1) [simplify]
77 - 9 = 28 + 4(10) [simplify]
68 = 28 + 40 [add]
68 = 68 ✔
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Answer:
5
Step-by-step explanation:
Using the Pythagorean theorem:
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
c^2 = 25
c = 5