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taurus [48]
3 years ago
5

Given sin A=-√3/2 and tan A >0, find cos A. PLEASE HURRY AND SHOW WORK

Mathematics
1 answer:
shutvik [7]3 years ago
4 0

Answer:

Below in bold.

Step-by-step explanation:

We have a right triangle here with the hypotenuse = 2 and the legs are 1 and √3.

If tan A > 0 then the opposite side to < A  in the triangle is greater than the adjacent so the leg opposite angle A is √3 and the adjacent side = 1.

So cos A = adj/hyp = 1/2.

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Line M passes through point (3,1) and is perpendicular to the line of the equation y=3x+4. Which equation describes the graph of
zheka24 [161]

Answer:

y = -1/3x + 2

Step-by-step explanation:

The gradient of the given line is 3 because (y = mx +c where m is the gradient)

Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.

The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.

Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.

To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.

So it would be 1 = (-1/3 x 3) +c

Which would be 1 = -1 +c

And so c = 2

Put everything together and you get y = -1/3x + 2

8 0
3 years ago
a salesperson sells $2700 in merchandise and earns a commission of $351 what is the commission rate in percentages?
GaryK [48]

Answer:

Commision rate 13%

Explanation:

The commission rate is equal to the commission as a percent of sells.

Now in our case,

sells = $2700

commission = $351

Therefore, the commission rate is equal to

undefined

6 0
1 year ago
Solve,justify and check: 3(7+5n)=6n+6(1+4n)
vlabodo [156]

Answer:

1=n

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

7(3)+5(3)n= 6n+1(6)+4(6)n

Step 2- Multiply

21+15n= 6n+6+24n

Step 3- Add common variables to simplify.

21+15n= (24n+6n)+6

21+15n= 30n+6

Step 4- Subtract the smallest variable to both sides.

21+15n= 30n+6

   -15n  -15n

21= 15n+6

Step 5- Subtract 6 to both sides.

21= 15n+6

-6           -6

15= 15n

Step 6- Divide both sides by 15.

<u>15</u>= <u>15n</u>

15   15

1=n

4 0
3 years ago
Read 2 more answers
Consider this system of equations:
alexandr1967 [171]
<span>"For which value of k does the system have no real number solutions?"
The answer is 4, because 4+4</span>≠16.
<span>
"For which value of k does the system have one real number solution?"
</span>The answer is -0.25, because the linear line because tangent with the parent function.


<span>"For which value of k does the system have two real number solutions?"
</span>The answer is 2, because the linear function intercepts the parent function 2 times.

- i hope these are the answers you are looking for. 
5 0
3 years ago
A tire has a radius of 13 inches. Which equation could be used to find the circumference of the tire
pav-90 [236]

Answer:

the tire should be 16 inches in diameter

a way that you can find diameter is if you are given the radius and you just multiply that number by 2 or ADD the same number because usually it is half of the diameter

6 0
2 years ago
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