Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle
Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a
Explanation of problem:
sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that
since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1

x = sin^-1 (16cm/28cm)
Answer:
x = 34.84990458°
I don't know how far rounded you'll need it
I hope this helped!
To find the average of an amount of numbers, we simply add them up and divide them by the amount of numbers we have. For example, if we have 1,2, and 3 as our numbers, we can see that we have three numbers. Next, we add them up to get 1+2+3=6. Lastly, we divide 6 by the amount of numbers we have (3) to get 6/3=2 as our average. Applying that here, we see that there are four numbers. Next, we add them up using a calculator to get 5,678.54+3,665.77+4,231.98+4,768.99 =18345.28 . Finally, we divide that number by the amount of numbers we have (using a calculator) to get 18345.28/4=4,586.32, making B your answer.
Feel free to ask further questions, and Happy Halloween!
Answer:
Y=3/2x - 3/2
Step-by-step explanation:
To find the inverse, switch the x and y in the equation. Then solve for y.
Y=2/3x+1
X=2/3y+1
X-1=2/3y
3/2(x-1)=y
3/2x-3/2=y
Answer:
x = 8
Step-by-step explanation:
The explanation are the pictures. I hope I gave you the correct answer.