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3 years ago

What is the answer for # 24?A B C or D

Mathematics

1 answer:

Rainbow [258]3 years ago

8 0

The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.

The volume of a cube of edge length s is

... V = s³

When the edge length is 6 in, the volume is

... V = (6 in)³ = 216 in³

<h3><u>Sphere</u></h3>

The volume of a sphere with radius r is

... V = (4/3)π·r³

When the radius is 3 in, the volume is

... V = (4/3)π·(3 in)³ = 36π in³

<h3><u>Space</u></h3>

Then the volume of the space between the cube and the sphere is

... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C

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Based on the graphic, which three-dimensional figure has the greatest volume?

ss7ja [257]

D . All three have same volume

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3 years ago

Use the zero product property to find the solutions to the equation x2 + x - 30 = 12

ycow [4]

Answer is x=-7 x=6 or choice A

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2 years ago

Which line is a linear model for the data?

DochEvi [55]

Answer:

Bottom Left Choice

Step-by-step explanation:

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2 years ago

Read 2 more answers

Gerry thinks that the points (4,2) and (−1,4) form a line perpendicular to a line with slope 4. Do you agree? Why

faust18 [17]

Answer:

The answer to your question is these lines are not perpendicular.

Step-by-step explanation:

Data

A (4, 2)

B (-1, 4)

slope = m = 4

Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.

Process

1.- Find the slope of the second line and compare it to the slope given.

slope = $\frac{y2 - y1}{x2 - x1}$

Substitution

slope = $\frac{4 - 2}{-1 - 4}$

Simplification and result

slope = $\frac{-2}{5}$

-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.

4 0

3 years ago

Why is a number raised to the zero power ALWAYS one and never any other number?

alexdok [17]

Do you know how to simplify, let's say for example, x⁵/x² ?

When the bases are the same, you can just subtract the exponent in
the denominator from the exponent in the numerator. So x⁵/x² = x³ .

Now look at x⁷/x⁷ . From that same handy tip, x⁷/x⁷ = x⁰ .

BUT ... any fraction with the same number on top and bottom
is equal to ' 1 '. So x⁰ = 1 , no matter what 'x' happens to be.

Does that do anything for you ?

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4 years ago