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3 years ago

Find the radius of each figure. round to the nearest tenth.

Mathematics

1 answer:

k0ka [10]3 years ago

6 0

Answer:

8.25475 m

Step-by-step explanation:

pi*r^3 is the formula for a sphere.

Using this, pi is a nmber (about 3.14) and we only don't know the radius, but we know what it equals.

pi*r^3=1,767.1

First divide by pi, then get ride of the cube by cube rooting both sides.

The cube root of 1767.1/pi (remember to cube root both denominator and numberator!!!) is about 8.25475 m

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2 years ago

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3 years ago

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

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Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

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$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

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$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

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see the attached figure

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Answer:o

Step-by-step explanation:

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