First lets see the pythagorean identities

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .
It would be c. y = x because if you plug in the numbers, it would be true
Hello! I would love to help!
9. Basically, it is asking us to multiply 5.2 by 46.
5.2*46=239.2
So, your answer is 239.2 inches.
10. First, let's find out how many blocks she has left to run by subtracting the number of blocks she has already ran by the number of total blocks.
60-18=42
So Susan has 42 blocks left to run. Now, let's divide that by 2 since she can run 2 blocks per minute.
42/2=21
So, the answer is 21 minutes.
11. Let's set up an equation: We know that she will automatically pay $49.95 per month, plus $0.15 per additional minute. We also know her final total for the month was $61.20:
49.95+0.15m=61.20
Let's solve! Subtract both sides by 49.95
49.95+0.15m-49.95=61.20-49.95
Simplify
0.15m=11.25
Now, divide both sides by 0.15
0.15m/0.15=11.25/0.15
M=75
So your answer is 75 additional minutes.
Hope this helped! Comment if you have questions!
Answer: 50 square yards
Step-by-step explanation:
From the question, we are informed that Kevin wants to cover a rectangular floor that is 15 feet by 30 feet with carpeting.
The first thing to do is to convert the measurement that were given to yards. We should note that 1 yard = 3 feet
15 feet = 15/3 = 5 yards
30 feet = 30/3 = 10 yards
Area = 5 × 10 = 50 square yards
The answer is 3.04800 meters.
Why you may ask? Well 1ft = 0.3048 meters so you calculate 10 ft based off this measurement and you get 3.04800 meters.
CHEERS MATE!