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:
is this a question meant to evaluate you, such as a test, exam, quiz, or assessment?
Answer:
Step-by-step explanation:
- Let (applicable to all three lines below)
- Hard candy = x kg with price $1.60/kg
- Gummy worms = y kg with price $2.20/kg
- Total weight = 50 kg with mixed price $1.75/kg
<u>Required equations:</u>
- x + y = 50 total weight
- 1.60x + 2.20y = 50*1.75 total price
=========================================
<u><em>Note</em></u><em>. It says don't solve but the solution below for those who is interested to know the answer.</em>
<u>Simplify the second equation and solve by substitution x = 50 - y:</u>
- 1.6(50 - y) + 2.2y = 87.5
- 80 - 1.6y +2.2y = 87.5
- 0.6y = 7.5
- y = 7.5/0.6
- y = 12.5
<u>Find the value of x:</u>
<u>Hard candy</u> = 37.5 kg and <u>gummy worms</u> = 12.5 kg
Answer:

Step-by-step explanation:
first find the area of the rectangle, which would be
yd²
then find the arc length of the sector, which is about 30.6yd
use the arc length to find the area of the sector, which is about 199.09yd²
add together the area of the rectangle and sector:
199.09 + 208 ≈ 407
<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
<u>We know that the lines are parallel because it is given that:</u>
<u>Now, let's form an equation.</u>
<u>Let's solve!</u>
- => 10x + 10 = 180
- => 10x = 170
- => x = 17
Hence, the value of x is 17.
