i need help it has to be correct

Answer:  see proof below

Step-by-step explanation:

Given: cos 330 = [tex]\frac{\sqrt3}{2}[/tex]

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

[tex]\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}[/tex]

Proof LHS → RHS:

LHS                          cos 165

Double-Angle:        cos (2 · 165) = 2 cos² 165 - 1

                             ⇒ cos 330 = 2 cos² 165 - 1

                             ⇒ 2 cos² 165  = cos 330 + 1

Given:                        [tex]2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1[/tex]

                              [tex]\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}[/tex]

Divide by 2:               [tex]\cos^2 165 = \dfrac{\sqrt3+2}{4}[/tex]

                             [tex]\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}[/tex]

                             [tex]\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}[/tex]

Square root:             [tex]\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}[/tex]

Scratchwork:            [tex]\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2[/tex]

                             [tex]\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}[/tex]

             Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

                             [tex]\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}[/tex]

LHS = RHS [tex]\checkmark[/tex]

Answer:

The first pic is not clearly so i cannot fully understand it, therefore i cannot solve it so really sorry about that :(

Step-by-step explanation:

Pic 2:

y° = 180° - [180° - 30° - (180° - 110°)] = 100°

Because the 2 lines are parallel so x° + y° = 180°

Therefore, x° = 80°

Answer:

Step-by-step explanation:

Answer:

y = 2x+7

Step-by-step explanation:

y - 3 = 2x+4

y = 2x+4+3

y = 2x+7

Answer:

its A!

Step-by-step explanation:

Answer:

What is the length of leg s of the triangle below?

B. atau F

Answer:

4

Step-by-step explanation:

Answer: h = -is divided by 2pr

Answer:

Step-by-step explanation:

22: 7/5

23: 15/4

24: 21/8

25: 9/2

26: 16/3

27: 13/7

28: 25/4

29: 32/9

30: 32/3

Answer:

(0, -3)

Step-by-step explanation:

Coordinates are set up like this: (x, y)

You move none across on the x plane, so (0,y).

You move 3 down on the y plane, so (0, -3).

Hope this helps!

Answer:

B. (0,-3)

Step-by-step explanation:

If you were to do coordinates you would always start with the x-axis then the y-axis. So in this case 0 = X-axis and -3 = Y-axis. If you had a harder problem then there would also be a Z-axis. Hope this helps have a good day :D

Answer:

3/8

Step-by-step explanation:

There are 8 cupcakes. Juan gets 4 and there are 4 left. Elena gets 3 out of the 4 that are left. Since there were 8 she got 3 out of the total (8) cupcakes. I used those specific number because that is the most simplified numbers.

Answer:

B. 134

Could you mark me as brainliest?

THANKS!!

Answer:

Let's define the zero in our axis as the park.

We know that Noah lives 9,000 meters away from the park, and that he bikes 300 meters per minute.

Then at the beginning, the position of Noah with respect to the park can be written as:

P(0s) = -9000m

This means that initially he is 9000m away from the park.

Now, each minute he moves 300 meters to the park, then after t minutes, the position is:

P(t) = -9000m + (300m/min)*t

With this equation we can find the time that takes Noah to arrive at the park:

When his position is equal to zero, it means that he is in the park (because we defined the position zero as the park).

P(t) = 0m = -9000m + (300m/min)*t

Now we can solve this for t.

9000m = (300m/min)*t

9000m/((300m/min) = t = 30 minutes.

Answer:

Noah arrived first.

Step-by-step explanation:

Noah thirty minutes and Mei 32

Answer:

y= =1/2x-8

Step-by-step explanation:

Answer:

A total of 78,497 pounds of cargo was removed from the plane.

Step-by-step explanation:

I got my answer by subtracting 437,981 from 500,000 to get 62,019. After, I added the additional 16,478 pounds that were taken off after to get my total of 78,497. My answer is reasonable because after double-checking with my calculator, I noticed I did not make any mistakes and my answer checked out, therefore validifying my answer. Hope this helps and have a good rest of your day/ night :)

-7x + 6 = 27

-7x = 21 (Subtract 6 from both sides)

x = -3 (Divide -7 from both sides)

Answer: 6 gallons

Step-by-step explanation:

144/24=6

Answer:

Step-by-step explanation:

13: 6 3/5

14: 2 1/4

15: 3 2/3

16: 3 5/6

17: 1 5/8

18: 5 2/9

19: 8 1/2

20: 2 1/7

21: 7 4/5

Answer:

4x+6=30

Step-by-step explanation:

30-6=24

4*6=24

6 games, assuming shoe rental only has to be paid one time.

Answer:

The answer is B.

Step-by-step explanation:

Given that vertically opposite angles are the same so the inner angle of the triangle is 40°.

Next, you have to find the other angle of the triangle. Assuming that total angles in a triangle is 180° so you have to subtract :

180° - 40° - 90° = 50°

So the value of x is 50°.

Answer:

x = 7

Step-by-step explanation:

Since the two sides (9x - 25) of the triangle are congruent to each other, we can add them together

(9x - 25) + (9x - 25)

18x - 50

A triangle is 180 degrees when adding all three sides

So if 2 sides together equal 18x - 50 and the last side equals 104, then they should equal 180 total

18x - 50 + 104 = 180

Combine like terms

18x + 54 = 180

Subtract both sides by 54 to isolate the variable

18x + 54 - 54 = 180 - 54

18x = 126

Divide both sides by 18 to isolate the variable

18x ÷ 18 = 126 ÷ 18

x = 7

Check your work by plugging in the x value for the expression and adding all three sides to equal 180 degrees

9(7) - 25 + 9(7) - 25 + 104 = 180

Pemdas says to multiply first

63 - 25 + 63 - 25 + 104 = 180

38 + 38 + 104 = 180

76 + 104 = 180

180 = 180

The work is correct

Answer:

(-32, 0)

Step-by-step explanation:

The x-intercept is the point on the line whose y-coordinate is zero.

Look at the points (8, 28) and (-2, 21).

As y goes from 28 to 21, a difference of 7, x goes from 8 to -2, a difference of 10.

Now look at the points (-2, 21) and (12, 14).

As y goes from 21 to 14, a difference of 7, x goes from -2 to -12, a difference of 10.

As you can see, each time y goes down by 7, x goes down by 10.

Start with (-12, 14).

Subtract 7 from y and 10 from x to get (-22, 7).

Now start with (-22, 7). Subtract again 7 from y and 10 from x.

You get (-32, 0).

Since now you have a y-coordinate of 0, point (-32, 0) is the x-intercept.

Answer: (-32, 0)

Answer:

C, 6-9

Step-by-step explanation:

All of the other answers equal 3 but C is equal to -3

Answer:

6-9

Step-by-step explanation:

9-6=3

9 + (-6) ---> 9-6=3

-6-(-9) --->-6+9=3 (Negative and negative turn to positive

6-9=-3

So, the answer is the last one

Answer:

Step-by-step explanation:

Note: there is a typo in the question, the line should be y = - 2x + 5

Perpendicular lines have negative reciprocal slopes

Slope of the given line is:

The slope of a perpendicular line is:

Correct choice is C. 1/2

m=−3

The equation of a perpendicular line to y=−3x+5

must have a slope that is the negative reciprocal of the original slope.

m perpendicular =−1/−3

Simplify the result.

m perpendicular =1/3

Hope this helps

Answer:

18

Step-by-step explanation:

3 (x - 4) - 16 = 2 (x - 8 ) + 6

=> 3x - 12 -16 = 2x - 16 + 6

=> 3x - 28 = 2x - 10

=> 3x - 28 - 2x = -10

=> x = 18

Answer:

18

Step-by-step explanation:

3(x - 4) - 16 = 2(x - 8) + 6

(3x - 12) - 16 = (2x - 16) + 6 (multiply 3 with (x-4) , and 2 with (x-8))

3x - 28 = 2x - 10 (subtract the numbers,remember only the same qualities)(meaning we leave out 3x and 2x)

3x - 2x = -10 + 28 (move 2x to the left(becomes negative(minus)) and move -28 to the right(becomes positive)(do your calculations)

x = 18 (final answer)

Answer:

n<-[tex]\frac{3}{5}[/tex] Hope this helped! Have a great day!

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Step-by-step explanation:

Answer:

its table A

Step-by-step explanation:

i just did this question on khan and the answer is table A