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3 years ago

What is |3|? (Finding absolute values)

Mathematics

2 answers:

valkas [14]3 years ago

5 0

Answer:

Step-by-step explanation: Since 3 and -3 are both 3 away from 0, they both have an absolute value of 3.

dlinn [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Whatever number you put between the | | will always come out as positive because of the absolute rule.

$|3|=3$

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3 years ago

Five times the sum of 173 and 32

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Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

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3 years ago

Kyle went to soccer lessons. He was charged $23.75 for one session. He gave the instructor a 15% tip. How much did Kyle

saul85 [17]

Answer:

$3.563

Step-by-step explanation:

First, I multipled 23.75 times the 15% tip, which you would get 356.250. Then, divide that by 100 to get 3.563. I hope this helps :)

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