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3 years ago

How do I solve 15+12=_+7

Mathematics

2 answers:

vampirchik [111]3 years ago

7 0

I think you just put 20 in the blank in order for it to equal

Vinil7 [7]3 years ago

6 0

The answer is 20.
Why? Because...
15 + 12 = 27 so.....
You subtract 27 and 7 and you get your answer which is 20.
GOOD LUCK!!

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If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Natasha_Volkova [10]

The correct answers are:
1) sin(x) = $\frac{ \sqrt{3} }{2}$
2) tan(x) = $\sqrt{3}$

Explanation:
Given:
$cos(x) = \frac{1}{2}$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}$

Step 3:
Take square-root on both sides:
$\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}$

sin(x) = $\frac{ \sqrt{3} }{2}$

Now to find the tan(x), we would use the following formula:

tan(x) = $\frac{sin(x)}{cos(x)}$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

Hence tan(x) = $\sqrt{3}$

6 0

3 years ago

Read 2 more answers

A salesman receives a commission of $4 for every pair of dress shoes he sells. He is paid $3 for every pair of athletic shoes he

Crank

Answer: he sold 9 pairs of dress shoes.

he sold 4 pairs of athletic shoes.

Step-by-step explanation:

Let x represent the number of pairs of dress shoes that he sells.

Let y represent the number of pairs of athletic shoes that he sells.

The total number of pairs of shoes that he sold in a day is 13. It means that

x + y = 13

The salesman receives a commission of $4 for every pair of dress shoes he sells. He is paid $3 for every pair of athletic shoes he sells. The commission that he got on that day was $48. It means that

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Substituting x = 13 - y into equation 1, it becomes

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- 4y + 3y = 48 - 52

- y = - 4

y = 4

x = 13 - y = 13 - 4

x = 9

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