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Marina86 [1]
3 years ago
12

-5w = -24.5 what is it. ​

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Answer:

w=4.9

Step-by-step explanation:

If you are solving for w, you want to isolate the variable. If it is easier to write it out, it would look something like this..

-5 x w = -24.5

To get w by itself, use the inverse of multiplication, which is division. Divide the expression to the left of the equal sign by -5. Remember, what you do to one side, you must do to the other. When you divide -24.5 by -5, you end up with

w=4.9

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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere
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Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

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3 years ago
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Step-by-step explanation:

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\frac{BD}{BC} = \frac{XZ}{XY}

\frac{6}{8} = \frac{XZ}{20}

⇒ XZ = \frac{20*6}{8}

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So that,

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Therefore, the relationship between BD and XZ is XZ = 2.5 BD.

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3 years ago
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