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4 years ago

20 points! Write the expression in simplest form. (-11/2 x + 3) - 2(-11/4 x - 5/2) =

Mathematics

1 answer:

JulsSmile [24]4 years ago

4 0

Answer:

$\large\boxed{\dfrac{11}{4}x+8}$

Step-by-step explanation:

$\left(-\dfrac{11}{4}x+3\right)-2\left(-\dfrac{11}{4}x-\dfrac{5}{2}\right)\qquad\text{use the distributive property}\\\\=-\dfrac{11}{4}x+3+(-2)\left(-\dfrac{11}{4}x\right)+(-2)\left(-\dfrac{5}{2}\right)\\\\=-\dfrac{11}{4}x+3+\dfrac{22}{4}x+5\qquad\text{combine like terms}\\\\=\left(-\dfrac{11}{4}x+\dfrac{22}{4}x\right)+(3+5)\\\\=\dfrac{11}{4}x+8$

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Answer: The height of the cone is

$h = \frac{45}{4}$

Step-by-step explanation:

Step 1:-

using formula Volume of the cone given base and height of the cone is $V=\frac{1}{3} (base)(height)$

Given Volume of the cone is V = 30 ft^3

Given base of the cone is B = 8 ft^2

Step 2:-

$V=\frac{1}{3} (base)(height)$

substituting values, we get

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cross multiplication, we get

$\frac{30 X 3 }{8}$

simplification we get

$h = \frac{45}{4}$

Final answer :- The height of the cone is

$h = \frac{45}{4}$

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