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2 years ago

‼️GEOMETRY‼️

Mathematics

1 answer:

ella [17]2 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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The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and acros

amid [387]

Answer:

B) B(2,-3) and C(-2,3)

Step-by-step explanation:

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2 years ago

Huey has a fish tank that measures 5 feet long by 2 feet wide and 2 feet tall . The volume of the tank.

iris [78.8K]

This is a simple problem

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Well, we know that squares/cubes have to have even sides. The problem states the tank is 5(l) by 2(w) by 2(h). This means it CAN'T be a cube, thus meaning it's a rectangular prism.

Now, to calculate volume, we have to know the formula. For this, the formula for volume is as follows: V=lwh
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So, do replace the words with what you know you already have. Let's make a list:
Length=5
Width=2
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V=lwh-----V=5*2*2

Now, work it out. 5*2=10*2=20, Left to right

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~Hope this helps!

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2 years ago

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Step-by-step explanation:

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dmitriy555 [2]

Answer:

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Explanation:

Key: +/- is plus-minus

I used complete the square

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Picture for clearer answers v

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2 years ago

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vodka [1.7K]

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2 years ago