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solong [7]
3 years ago
10

F(x) = -2? + 10x- 6 Find f(-5)

Mathematics
1 answer:
Dimas [21]3 years ago
4 0

Answer:

f=−2x+8/5

Step-by-step explanation:

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[TON OF POINTS] [3 QUESTIONS - Easy money :)]
kherson [118]
The <u>correct answers</u> are:

1/6πd³;
3; and 
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Explanation:

For the <u>first question</u>:

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})&#10;\\&#10;\\=\frac{4}{3}\pi(\frac{d^3}{8})

We start multiplying this:
V=\frac{4\pi}{3}(\frac{d^3}{8})&#10;\\&#10;\\=\frac{4\pi d^3}{3\times 8}&#10;\\&#10;\\=\frac{4\pi d^3}{24}&#10;\\&#10;\\=\frac{4}{24}\pi d^3&#10;\\&#10;\\=\frac{1}{6}\pi d^3

For the <u>second question</u>:

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 <u>third question</u>:

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&#10;\\&#10;\\90 = \frac{1}{3}(\frac{1}{2}\times 60)H&#10;\\&#10;\\90 = \frac{1}{3}(30)H&#10;\\&#10;\\90 = 10H

We divide both sides by 10:

90/10 = 10H/10
9 = H
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Answer:

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8 0
3 years ago
What geometric figure cannot have two right angles?
natali 33 [55]

Answer:

triangle

Step-by-step explanation:

A triangle can not have 2 right angles.

6 0
4 years ago
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