Answer:
S = 128πx² + 64πx + 8π
Step-by-step explanation:
Suraface area of a cylinder is given by:
S = 2πrh + 2πr²
We know that the height is 3 times as big as the radius, hence:
h = 3r
so we can plug in the new h value and rewrite the S equation as:
S = 2πrh + 2πr²
S = 2πr(3r) + 2πr²
S = 6πr² + 2πr²
S = 8πr²
We're given in the question that the radius is (4x + 1) inches, so plug that into r.
Given: r = 4x + 1
Therefore,
S = 8πr²
S = 8π(4x + 1)²
S = 8π(16x²+8x+1)
S = 128πx² + 64πx + 8π
Answer:
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Step-by-step explanation:
Answer:
X = 51
Y = 12
Step-by-step explanation:
2 numbers: (Larger) Number 1 is x and Number 2 is y
The equation is x + y = 63
New equation is:
Combine like variables:
Solve:
- 4y + 15 - 15 = 63 - 15
- 4y = 48
Divide 4 from each side:
To find x fill in the variables from the 'x =' equation:
- x = 3y + 15
- x = 3( 12) + 15
- <em><u>x = 51</u></em>
Answer:
84
Step-by-step explanation:
<u>Order of operations (Parentheses first, exponents next, then multiplication, etc.)</u>
-3 * -2 = 6
<u>Multiply</u>
7 * 6 = 42
42 * 2 = 84