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3 years ago

‼️GEOMETRY‼️

Mathematics

1 answer:

ella [17]3 years ago

6 0

Answer:

A.) 1018 square inches

Step-by-step explanation:

The largest sphere will have a diameter equaling the length of the cube (see picture).

If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

$SA=4\pi r^2$

For this formula, we need the radius of the sphere. Divide the diameter by 2:

$\frac{18}{2}=9$

The radius is 9 inches. Plug this into the equation:

$SA=4\pi *9^2$

Simplify the equation:

$SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87$

Round the result to the nearest whole number:

$1017.87$ → $1018$

The surface area is 1,018 inches².

:Done

Picture:

In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.

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maks197457 [2]

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3 years ago

Drag each tile to the correct box.<br>Order the expressions from least value to greatest value.<br>

STatiana [176]

Answer:

-2 19/20, 2 3/5. 3.125, 10.35

Step-by-step explanation:

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Divide:

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Solve:

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4 x 3 = 12

5 x 3 = 15

The new fraction is 12/15.

Add:

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Solve:

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First, make the denominators of 3/10 equal to 20:

3/10 = ?/20

Multiply both the numerator and denominator by 2:

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The new fraction is 6/20.

Subtract:

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3 years ago

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zaharov [31]

The expression is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power is; Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power

<h3>How to solve exponents?</h3>

We want to find the expression that is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power.

The sentence above can be expressed as;

((1.5⁵)/(0.7⁴))³

This can be broken down into;

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Looking at the options, the only correct one is;

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Read more about Exponents at; brainly.com/question/11975096

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2 years ago

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