Answer: -3π/2
Step-by-step explanation:
The unit circle is tricky, but here are some things to know:
- When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative.
- The unit circle is typically measured in radians, not degrees
- To convert from radians to degrees, multiply by 180/π
- To convert from degrees to radians, multiply by π/180
- The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.
-If the angle is negative, switch the signs of the axis above.
The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.
Answer:
6x+2y+3
Step-by-step explanation:
5x+3+2y+x
6x+2y+3
Answer:
A
Step-by-step explanation:
Answer:
7.5 minutes
Step-by-step explanation:
If we let x represent the number of minutes it takes for the cold faucet to fill the tub, then it takes 2x minutes for the hot faucet. The total rate of filling in tubs per minute is ...
1/x + 1/(2x) = 1/5
Multiplying by 10x, we have ...
10 + 5 = 2x
x = 15/2 = 7.5
It takes the cold faucet 7.5 minutes to fill the tub.
Answer:
10%
Step-by-step explanation:
Amount of salt in 90g of water = 10g
Total weight of solution (salt + water) = (10g + 90g) = 100g
=> Total weight of salt in 100g of solution = 10g
Hence, Percentage of salt in this solution is given by:
This corresponds to 10%
So the percentage of salt in the solution = 10%
Similarly, percentage of water in the solution = = 90%