First, determine the area of the whole circle by the equation, A = πr². Substituting,
A = π(6²) = 36π
Then, multiply this value with the ratio of the given angle to the whole revolution,
A(sector) = 36π x (120° / 360°)
The area of the sector is therefore 12π units².
Answer:
-2
Step-by-step explanation:
Yes and no. A negative number and it's opposite are 'integers.' Yes, a negative and a negative multiplied together give you a positive. The two negative signs cancel out making it positive. But no, a positive and a positive multiplied together do not give you a negative. When you subtract positive numbers you can get a negative, but not when multiplying. If you were to do a positive times a negative it would be negative because the positive can't cancel it out. Example: -3 · -3 = 9. [] 3 · 3 = 9. [] -3 · 3 = -9. Other than the positive number part, the statement is true about the negatives. I hope that helped!
Answer:
k= -0.2
Step-by-step explanation:
3+2(5k-3)=7 (original)
3+10k-6=7 (distribute 2 in (5k-3))
9+10k=7 (combine like terms 3+-6)
10k=-2 (subtract 9 on both sides to isolate k)
k=-0.2 (divide 10 on both sides to get you're answer/isolate k)