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2 years ago

What is the value of 16 • 2-2?

Mathematics

1 answer:

Temka [501]2 years ago

5 0

Answer:

= 30

Step-by-step explanation:

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John needs to find out the probability that he will sell all his cars by the end of the

Nezavi [6.7K]

Answer:

c) 100

Step-by-step explanation:

This is the best choice because the number is not too low or too high. He will get an accurate probability.

5 0

2 years ago

Simplify (b^4)^3 A.B^9 B.B^3 C.B D.B^12

natulia [17]

(b^4)^3

To simplify when something is raised to two different exponents, multiply the two exponents together:

4 * 3 = 12

You now have b^12.

The answer is D.

6 0

2 years ago

If cos() = − 2 3 and is in Quadrant III, find tan() cot() + csc(). Incorrect: Your answer is incorrect.

nydimaria [60]

Answer:

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}$

Step-by-step explanation:

Given

$\cos(\theta) = -\frac{2}{3}$

$\theta \to$ Quadrant III

Required

Determine $\tan(\theta) \cdot \cot(\theta) + \csc(\theta)$

We have:

$\cos(\theta) = -\frac{2}{3}$

We know that:

$\sin^2(\theta) + \cos^2(\theta) = 1$

This gives:

$\sin^2(\theta) + (-\frac{2}{3})^2 = 1$

$\sin^2(\theta) + (\frac{4}{9}) = 1$

Collect like terms

$\sin^2(\theta) = 1 - \frac{4}{9}$

Take LCM and solve

$\sin^2(\theta) = \frac{9 -4}{9}$

$\sin^2(\theta) = \frac{5}{9}$

Take the square roots of both sides

$\sin(\theta) = \±\frac{\sqrt 5}{3}$

Sin is negative in quadrant III. So:

$\sin(\theta) = -\frac{\sqrt 5}{3}$

Calculate $\csc(\theta)$

$\csc(\theta) = \frac{1}{\sin(\theta)}$

We have: $\sin(\theta) = -\frac{\sqrt 5}{3}$

So:

$\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}$

$\csc(\theta) = \frac{-3}{\sqrt 5}$

Rationalize

$\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}$

$\csc(\theta) = \frac{-3\sqrt 5}{5}$

So, we have:

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta)$

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)$

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)$

Substitute: $\csc(\theta) = \frac{-3\sqrt 5}{5}$

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}$

Take LCM

$\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}$

6 0

2 years ago

What is 50/100 in simplest form.

Liula [17]

Answer:

The simplest form of 50/100 is 1/2

7 0

2 years ago

Read 2 more answers

Solve:<br> 2 3/4 −(−1 1/2 )+(− 5/6 )−(− 3/8)−(+4 2/3 )<br> PLS HELP!

neonofarm [45]

Answer: -7/8

Step-by-step explanation:

you need to find a common denominator for all of them

in this case it would be 24

2 18/24 -(- 1 12/24) + (-20/24) -(-9/24) - (+ 4 16/24)

2 18/24 + 1 12/24 - 20/24 + 9/24 - 4 16/24

4 6/24 - 20/24 + 9/24 - 4 16/24

3 10/24 + 9/24 - 4 16/24

3 19/24 - 4 16/24

- 21/24

-7/8

3 0

2 years ago

Read 2 more answers