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2 years ago

Identify the "c" value of the following quadratic equation given below. -8 = 2(x + 9)^2

1 answer:

3 0

$\bf -8=2(x+9)^2\implies -8=2(\stackrel{\mathbb{F~O~I~L}}{x^2+18x+81})\implies \cfrac{-8}{2}=x^2+18x+81 \\\\\\ -4=x^2+18x+81\implies 0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+18}x\stackrel{\stackrel{c}{\downarrow }}{\boxed{+85}}$

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No comprendo. I'm doing a test review and I'm screwed

MAXImum [283]

Answer:

x = 5

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin 53 = 4/x

Multiply each side by x

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x sin 53 = 4

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x sin 53 / sin 53 = 4 / sin 53

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To the nearest whole number

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3 years ago

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3 years ago

Which choice correctly shows rounding to the hundredths place?

Slav-nsk [51]

Answer:

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Step-by-step explanation:

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2 years ago

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A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

$v= \frac{4}{3} \pi r^{3}$

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

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2 years ago

The volume of a rectangular prism is 125 units ?. If the height is 25 units, what is the area,

Elza [17]

Answer:

The area of the base would be 5 units.

Step-by-step explanation:

To find the volume of a rectangular prism you would multiple the length, height, and width together. So, to find the area of one side divide one side length, 25, from the volume of 125 (125 ÷ 25), which equals 5 units.

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2 years ago