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: a) -240
<u>Step-by-step explanation:</u>

Hi there!
Since we know that this is a right isosceles triangle, we can use the 45-45-90 relationship to figure out the missing side lengths. Using this relationship, we know that the two marked sides are both equal to 5 inches. Next, we need to use the formula to find the area of a triangle, which is A = 1/2(b * h). We know that the base of this triangle is 5, as is the height. All we need to do is plug in the numbers and solve: A = 1/2(5 * 5) | A = 1/2(25) | A = 12.5 inches^2.
Hope this helps!! :)
If something doesn't make sense or if there's anything else that I can help you with, please let me know!
Answer:
She hung 45reds, 30greens and 60whites
Step-by-step explanation:
If Sonia is hanging up decorations in the ratio of 3red: 2green: 4white, the total amount of different she hung is 3+2+4 = 9different colours.
Of she hung 135decorations in total, the number of red = 3/9 × 135 = 45reds
Number of green = 2/9 × 135 = 30greens
Numbe of white = 4/9 × 135= 60whites
She hung 45reds, 30greens and 60whites