Answer:
x = 3π/4 radians = 135°
Step-by-step explanation:
The area of a sector of central angle α is ...
A = (1/2)r²α
Filling in the given values, we can find the central angle to be ...
54π cm² = (1/2)(12 cm)²x
x = (54π)/(72) = 3/4π . . . . radians
x = 135°
The winner got $70,000 and the runner up got $14,000
Let the winner be represented by x and runner up by y
Data given;
- Amount to be shared = $84000
- x = 5y
This is a simple case of ratio i.e 1 : 5
<h3>Equation</h3>

The runner up received $14000. let's use this data to find how much the winner got.

From the calculations above, the winner got $70,000 and the runner up got $14,000.
Learn more about ratios here;
brainly.com/question/1781657
Answer:
69
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
2 (3x+11)=10
Divide each side by 2
2/2 (3x+11)=10/2
3x+11 = 5
Subtract 11 from each side
3x+11-11 = 5-11
3x = -6
Divide each side by 3
3x/3 = -6/3
x = -2