Answer: a = 2,315.5
Step-by-step explanation:
a = 2πrh+2πr²
a = 2π(9)(32) + 2π9²
a = 2π x 288 + 2π x 81
a = 1809.6 + 508.9
a = 2,315.5
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Since we are already given with the formula to solve for the coordinates of point L, all we have to do is to perform the necessary operation in the item. The formula for the coordinates of the midpoint is, M = ((5 + 1) / 2 , (3 - 7) / 2)performing the operation, M = (3, -2)Thus, the coordinates of point L are (3,-2).
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9514 1404 393
Answer:
x ≈ 0.7798
Step-by-step explanation:
For this to be an exponential function, the variable needs to be in the exponent. That is, parentheses are needed.
e^(8x) = 512
8x = ln(512) . . . . . take the natural log
x = ln(512)/8 ≈ 0.7798
So we factor out the number and find the number in both numbers so
117=3*3*13
351=3*3*13*3
so the greatest common factor of 117 and 351 is 3*3*13=117
35=7*5
149=prime=149 (prime means no whole factors)