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3 years ago

What is the perimeter of a rectangle whose length is -3x + 4 and a width of 5x - 2?

Mathematics

2 answers:

BlackZzzverrR [31]3 years ago

4 0

The answer would be 4x+4

denpristay [2]3 years ago

3 0

Answer:

Step-by-step explanation:

Perimeter = 2*(length + width)

=2*(-3x +4 + 5x - 2)

=2*(2x + 2)

=2*2x + 2*2

=4x + 4

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3 years ago

A number n is 5 more than 12. What is the equation for this sentence?

Andrews [41]

N= 5+12. The key word "more" indicates that addition is taking place. So the variable n is equal to five plus twelve.

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3 years ago

Read 2 more answers

[TON OF POINTS] [3 QUESTIONS - Easy money :)]

kherson [118]

The correct answers are:

1/6πd³;
3; and
9 cm.

Explanation:

For the first question:

The formula for the volume of a sphere is:

$V=\frac{4}{3}\pi r^3$

We have the diameter, not the radius. The diameter is twice as much as the radius; this means to find the radius using the diameter, we divide by 2. This gives us:

$V=\frac{4}{3}\pi (\frac{d}{2})^3$

When we raise a fraction to a power, we raise both the numerator and the denominator to that power. This gives us:

$V=\frac{4}{3}\pi(\frac{d^3}{2^3})
\\
\\=\frac{4}{3}\pi(\frac{d^3}{8})$

We start multiplying this:
$V=\frac{4\pi}{3}(\frac{d^3}{8})
\\
\\=\frac{4\pi d^3}{3\times 8}
\\
\\=\frac{4\pi d^3}{24}
\\
\\=\frac{4}{24}\pi d^3
\\
\\=\frac{1}{6}\pi d^3$

For the second question:

The planes of symmetry are the planes through which we can fold the figure in half. These are in the middle horizontally through the figure; in the middle vertically (through the width) through the figure; and in the middle vertically (through the length) through the figure. This makes 3.

For the third question:

The formula for the volume of a triangular prism is:

$V=\frac{1}{3}(\frac{1}{2}bh)H$ ,

where b is the base of the triangular base of the pyramid, h is the height of the triangular base of the pyramid, and H is the height of the pyramid.

We know the volume is 90; the base of the triangle is 12 and the height is 5:

$90 = \frac{1}{3}(\frac{1}{2}\times 12\times 5)H
\\
\\90 = \frac{1}{3}(\frac{1}{2}\times 60)H
\\
\\90 = \frac{1}{3}(30)H
\\
\\90 = 10H$

We divide both sides by 10:

90/10 = 10H/10
9 = H

4 0

4 years ago

How many SQUARES can you find? How many RECTANGLES can you find? How many TRIANGLES can you find?

saul85 [17]

First assumption: you want to use all 12 squares in each rectangle.

Let’s assume the squares are 1 inch on a side (could be foot, or yard, or whatever, but 1 UNIT).

Now, a rectangle has a length and a width. 12 squares an inch on a side have a total area of 12 square inches. So, your rectangle will also be 12 square inches.

To get that, you could have a rectangle of the following dimensions:

1 X 12

2 X 6

3 X 4

That’s it. Three possible rectangles, using all 12 squares per rectangle.

Now, if you DON’T have to use all 12 squares in the rectangle, then you could make 6 rectangles, using 2 squares each, so each rectangle would be 1 X 2.
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