The listo of the factors of
36: {1; 2; 3; 4; 6; 9; 12; 18; 36}
48: {1; 2; 3; 4; 6; 8; 12; 16; 24; 48}
The common factors: {1; 2; 3; 4; 6; 12}
Answer/Step-by-step explanation:
Volume of a cylinder is given as V = πr²h
Where,
radius (r) = 6 cm
height (h) = 8 cm
Plug in the values
V = π*6²*8
V = π*36*8
V = π*288
V = 288π cm³ or 904.78 cm³
The area of the shaded region is 3x^2 + 6x
<h3>How to determine the area of the shaded region?</h3>
The given parameters are:
- Top side of the shaded rectangle = 2x + 7.
- Left side of the shaded rectangle = 2x.
- Top side of the unshaded rectangle = x + 8.
- Left side of the unshaded rectangle = x.
The area of the shaded region is calculated as:
Shaded region area = (Top side of the shaded rectangle * Left side of the shaded rectangle) - (Top side of the unshaded rectangle * Left side of the unshaded rectangle)
Substitute the known values in the above equation
Shaded region area = (2x + 7) * (2x) - (x + 8) * (x)
Evaluate the products
Shaded region area = (4x^2 + 14x) - (x^2 + 8x)
Open the bracket
Shaded region area = 4x^2 + 14x - x^2 - 8x
Collect the like terms
Shaded region area = 4x^2 - x^2 + 14x - 8x
Evaluate the like terms
Shaded region area = 3x^2 + 6x
Hence, the area of the shaded region is 3x^2 + 6x
Read more about areas at:
brainly.com/question/25292087
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The statement that best descrcibes the Washington economy since World War II is D) a series of ups and downs in economic activity. Hope this helps?
Answer:
Q1: 0.65 percent
Q2: 0.31 percent decrease
Step-by-step explanation:
Q1... 40-14=26 and divide the answer by the staring value
Q2...72-50 =22 divide 22 by 72