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3 years ago

5

Can the set of numbers 8,12,4 make a triangle? And if it can, does it make a right triangle

1 answer:

bagirrra123 [75]3 years ago

4 0

Answer:

No

Step-by-step explanation:

The sum of the shorter two lengths is exactly equal to the longer length. The "triangle" made by these segments will look like a line segment of length 12. It will have zero area.

Many authors would tell you this is <em>not a triangle</em>. (Others will tell you it is a triangle—a degenerate case.)

_____

These numbers are an arithmetic sequence. The ratio of lengths is 1 : 2 : 3. The only arithmetic sequence of side lengths that makes a right triangle are those in the ratio 3 : 4 : 5.

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2 years ago

You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickles for $7each. Write an expression t

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3 years ago

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

<u>Answer:</u>

A. y = -2 - cos(x-π)

<u>Explanation:</u>

<u>The general form of the trig equation is:</u>

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

<u>Now, let's check the choices:</u>

<u>A. y = -2 - cos(x-π)</u>

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

<u>B. y = 3 cos(4x)</u>

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

<u>C. y = tan(2x)</u>

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

<u>D. y = 1 + sin(x)</u>

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

<u>Based on the above,</u> the correct answer is A

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3 years ago

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Alekssandra [29.7K]

Answer:

0.5 cups or 1/2 a cup per person

Step-by-step explanation:

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2 years ago

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