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3 years ago

Given the formula D = ABC what is the formula for C

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

8 0

If D = A×B×C
Then,
D/(AB) = C

Andru [333]3 years ago

6 0

In order to solve for C, you need to get it by itself. You would do this by dividing both sides by A and B. if you do this you get C=D/AB. Therefore, your answer would be D

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3 years ago

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3 years ago

Given that sin theta = 1/4, 0→theta→π/2, what<br>. what is the exact value of cos 8?

natali 33 [55]

<h3>Answer: Choice B $\frac{\sqrt{15}}{4}$ </h3>

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Work Shown:

Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.

Square both sides of the given equation

$\sin \theta = \frac{1}{4}\\\\\sin^2 \theta = \left(\frac{1}{4}\right)^2\\\\\sin^2 \theta = \frac{1}{16}$

Then use the pythagorean trig identity to get

$\sin^2 \theta + \cos^2 \theta = 1\\\\\cos^2 \theta = 1-\sin^2 \theta\\\\\cos \theta = \sqrt{1-\sin^2 \theta} \ \ \ \text{cosine is positive in Q1}\\\\\cos \theta = \sqrt{1-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16}{16}-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16-1}{16}}\\\\\cos \theta = \sqrt{\frac{15}{16}}\\\\\cos \theta = \frac{\sqrt{15}}{\sqrt{16}}\\\\\cos \theta = \frac{\sqrt{15}}{4}\\\\$

3 0

3 years ago

What is the slope of (-7, 0), (-7, -6)?

Bess [88]

Answer:

A line passes (-7, 0), (-7, -6).

These two passed points have same x-component (x = -7).

=> This is the line which has equation: x = -7.

This is a vertical line (parallel with y axis) and the slope is undefined.

Hope this helps!

3 0

3 years ago