Remark
This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.
Step One
Set up the sine Law.

Step Two
Substitute values
Sin(x) = ??
sin(75) = 0.9659

Step Three
Cross multiply and Solve
22* Sin(x) = 12 * 0.9659
22* Sin(x) = 11.591 divide by 22
sin(x) = 11.591 / 22
sin(x) = 0.5269
Step Four
You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.
x = sin^-1(0.5269)
2nd F
Sin^-1
(
0.5269
)
=
You should get 31.79 degrees.
Answer:
hold my picolr
Step-by-step explanation:
Answer:
a. 
b. 
Step-by-step explanation:
The formula for calculate the area of a rectangle is:

Where "l" is the lenght and "w" is the width
a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:

Therefore, substituting these values into the formula, we get that the area of the kitchen is:

b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:

Therefore, the total of the living room and the kitchen is:

Answer: the answer is B. 90√2
Step-by-step explanation:
It is a 45 45 90 triangle and the hypotenuse is always the smaller side (x) root 2
Or x√2
∵ ΔSRQ is a right triangle
and RT⊥SQ
∴ x² = ST * TQ
∴ x² = 9 *16 = 144
∴ x = √144 = 12