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

Hi there!

What we need to know:

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

[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex]     [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]    [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]

"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:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information:

[tex]\displaystyle cos56=\frac{a}{13}[/tex]

Isolate a by multiplying both sides by 13:

[tex]13\displaystyle cos56=a[/tex]

Solve using a calculator:

[tex]a=7.3[/tex]

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:

[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]

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

[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]

Solve using a calculator:

[tex]\displaystyle \theta=39[/tex]

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

Need help ASAP!!!!!!!

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
7D
110%
А AT
X
B
>C
Angles are not drawn to scale.
Enter

Please answer correctly math problemo

Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.

-12/5
-13/5
-5/12

A. x = 44 and y = 43
B. x = 43 and y = 44
C. x = y = 90
D. x = 89 and y = 91

7t + 2 = t + 32

a. 12
b. -5
c. 5
d. -12​

What is the missing length?
10 km
2
area = 33 km

PLEASE HELP I WILL MARK BRAINLIEST
Part A
At most, Marc can spend $50 on sandwiches and chips for a picnic his art club is having. He already bought chips for $6 and will buy sandwiches that cost $4.50 each. Write an inequality to show how many sandwiches (s) he can buy.

Part B
Solve the inequality to show the maximum amount of sandwiches he can buy.

A water bottle holds 3/5 of a liter of liquid how many of these water bottles could be filled for 9/10 of a litter of juice

the length of a rectangle is five inches less than three times its width . if the perimeter of the rectangle is 150 inches , find the dimensions.

It takes Brent 9 minutes and 14 seconds to walk around the pond. It takes Dana 8 minutes 41 seconds to walk around the pond. How many more seconds does it take Brent to walk around the pond than Dana?

Simplify the expression\(\frac{2x^{-1}y}{x^3z}\) for \(x=2\), \(y=8\), and \(z=-1\).

There are a total of 66 students in the fourth grade at Northp Elementary school. Class A has five more students than Class B. Class C has 2 less students than class B. How- many students are in class A?​

1) A basket contains six apples and five
peaches. You randomly select a piece of
fruit and then return it to the basket. Then
you randomly select another piece of fruit.
The first piece of fruit is an apple and the
second piece is a peach.
A) Dependent B) Independent
HE
FEN

Plz help!!! ASAP!!!

-10 pts

also explain answer

thx <3

its worth 25 please help and show work

Can someone help of you dont know dont answer​

find the area of the figure 4m 7m​

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Hi help pls no link ty!

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help please my brain took an oof today

y=(x-1)^2-9 standard form

here u go! BWABWABWABWABWA

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Can someone help me with this question if two figures are similar but not congruent, how are they alike, and how are they different?

A saleswoman is paid $15 per hour and $7 for each sale she makes. She wants to earn more than $146 in an 6-hour work period.

Which inequality represents the number of sales, x, the saleswoman must make in an 8-hour period to earn more than $146?

$500 at 12% for 6 months (0.5 years) Find the interest

please hurry.........................................................................