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3 years ago

Which angle has a sine of −12 and a cosine of −3√2 ? A 7π6 B 4π3 C 5π6 D 5π3

Mathematics

1 answer:

kobusy [5.1K]3 years ago

6 0

Answer:

A. 7π/6.

Step-by-step explanation:

I think you mean a sine of -1/2 and cosine of -√3/2 ( the values in the question are not possible)

Angle π/6 has a sine of 1/2 and a cosine of √3/2 ( from the 30-60-90 triangle).

This angle must be in the third quadrant because the sin and cos are negative.

So the answer is π +π/6 = 7π/6.

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Which expression is equivalent to (9x2y6)−1/2?

galben [10]

Answer:

B. 1/(3xy^3)

Step-by-step explanation:

The minus sign can be dealt with first, then the root taken.

$\left(9x^{2}y^{6}\right)^{-\frac{1}{2}}=\dfrac{1}{\sqrt{9x^{2}y^{6}}}\\\\=\dfrac{1}{\sqrt{9}\sqrt{x^2}\sqrt{y^6}}=\dfrac{1}{3xy^3}$

8 0

3 years ago

The equation of the line that contains the points (-8, 1) and (0, -5) is

posledela

Answer:

y = -3/4x -5 (G)

Step-by-step explanation:

Find the slope by using the slope formula. (It's hard to format here so look it up)

Basically, it is y2 - y1/x2 - x1

-5 - 1/ 0 + 8

-6/8 = -3/4

The slope is -3/4.

Plug in for y = mx + b

y (y coordinate) = -5

x (x coordinate) = 0

slope (m) = -3/4

-5 = -3/4(0) + b

-5 = 0 + b

b = -5

y = -3/4x -5

5 0

3 years ago

50 POINTS!! HELP!

Minchanka [31]

i dont have time to do all of it (sorry)

but this is how you do the point and slope questions:

use the equation: y-y1 = m(x - x1)

y1 is the y point you are given

x1 is the x point you are given

m is your slope

substitute all of those in from the question

the first one is:

y --4 = -5/6(x-8)

-- turns into a plus so the answer would be

y+4 = -5/6(x-8)

6 0

3 years ago

What is the slope of the line with these points (5, -3) (6, -1) (7, 1)

ycow [4]

Answer:

4/2

Step-by-step explanation:

Rise/Run

4/2

8 0

3 years ago

Read 2 more answers

How do you solve<br> 25n=70

alisha [4.7K]

You want to do to one side the same thing you do to the other side.

In order to get the n by itself you divide the 25n by 25. But in order to not change the answer you need to do the same to the 70.

$\frac{25n}{25} = \frac{70}{25}$

so n= $\frac{70}{25}$ which can be reduced to $\frac{14}{5}$

so n= $\frac{14}{5}$

5 0

3 years ago