Help me with my review please

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

lisov135 [29]

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

$\displaystyle sin\theta=\frac{opposite}{hypotenuse}$ $\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$ $\displaystyle tan\theta=\frac{opposite}{adjacent}$

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

$\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$

Plug in the given information:

$\displaystyle cos56=\frac{a}{13}$

Isolate a by multiplying both sides by 13:

$13\displaystyle cos56=a$

Solve using a calculator:

$a=7.3$

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

$\displaystyle sin\theta=\frac{5}{8}$

In this case, we will use the inverse sine ratio:

$\displaystyle \theta=sin^-^1(\frac{5}{8})$

Solve using a calculator:

$\displaystyle \theta=39$

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

3 0

3 years ago

Find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees

OLga [1]

Answer:

D. 78°

Step-by-step explanation:

50°+28°= 78°

_______

3 0

3 years ago

Which equation describes the graph? Y=-|x+2| Y=-|x|+2 Y=-|x-2| Y=-|x|-2

Lera25 [3.4K]

Answer:

y = -|x|+2

Step-by-step explanation:

The graph represents y = |x| where the given graph opens upside down so it's negative and +2 translation towards the top

Answered by GAUTHMATH

5 0

3 years ago

Find the value of x in the triangle listed here. If you could show me the steps, I would appreciate it.

-Dominant- [34]

Answer:

71°

Step-by-step explanation:

The triangle shown is an isosceles triangle. Isosceles triangles have two equal sides and two equal angles. When all 3 angles are added, it should have a sum of 180°. The tip of the triangle is the part of the triangle with the smallest degree/angle. So the two remaining angles are the same amount.

180°=38°+x+?

180°=38°+71°+71°

Both missing angles are the same degree, and when both are added to 38, it has a sum of 180. x is equal to 71°.

7 0

2 years ago

Read 2 more answers

The ratio of pink marbles to white marbles is 1:5 what percent of bag is pink marbles

sashaice [31]

1:5=1/5
1/5=20/100
20/100= 20%
20% of bag is pink marbles

6 0

3 years ago