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frosja888 [35]
3 years ago
10

Andrea needs a box that has a volume of 90 cubic inches what might the measures of her box be

Mathematics
2 answers:
Eduardwww [97]3 years ago
8 0
Volume is Length x width x height. So what are three numbers that multiply to 90?
30x30x30=90
ozzi3 years ago
4 0

Answer:

Given : Andrea needs a box that has a volume of 90 cubic inches.

To find : What might the measures of her box be ?

Solution :

We have given the volume of a box = 90 cubic inches.

If we consider the box is in the cube then,

Volume of the cube is V=a^3

Where, a is the side of the box

90=a^3

a=\sqrt[3]{90}

a=4.48

The measure of each side is approximately 4.48 inches.

If we consider the box is the cuboid then,

We find the factors of 90

90=2\times 3\times 3\times 5

As the volume of the cuboid is V=l\times b\times h

Then possible sides could be (6,3,5), (2,3,15), (2,9,5), (3,3,10).

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The areas of the two watch faces have a ratio of 16:25 What is the ratio of the radius of the smaller watch face to the radius o
Leona [35]

Answer:

The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

Step-by-step explanation:

Let the Area of smaller watch face be A_1

Also Let the Area of Larger watch face be A_2

Also Let the radius of smaller watch face be r_1

Also Let the radius of Larger watch face be r_2

Now given:

\frac{A_1}{A_2} =\frac{16}{25}

We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.

Solution:

Since the watch face is in circular form.

Then we can say that;

Area of the circle is equal 'π' times square of the radius 'r'.

framing in equation form we get;

A_1 = \pi {r_1}^2

A_2 = \pi {r_2}^2

So we get;

\frac{A_1}{A_2}= \frac{\pi {r_1}^2}{\pi {r_2}^2}

Substituting the value we get;

\frac{16}{25}= \frac{\pi {r_1}^2}{\pi {r_2}^2}

Now 'π' from numerator and denominator gets cancelled.

\frac{16}{25}= \frac{{r_1}^2}{{r_2}^2}

Now Taking square roots on both side we get;

\sqrt{\frac{16}{25}}= \sqrt{\frac{{r_1}^2}{{r_2}^2}}\\\\\frac{4}{5}= \frac{r_1}{r_2}

Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

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3 years ago
Answer quick<br><br> Calculate the slope of the line going through A(-4,3) and B(0,6)
NeX [460]

Answer:

¾

Step-by-step explanation:

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

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

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=  \frac{6 - 3}{0 -  ( - 4)}

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2 years ago
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