Well so far, Kate has saw 65% of her workout
65% of total = 26
0.65 * t = 26
t = 26/0.65
t = 40 laps
Answer:
Step-by-step explanation:
arc between cars = 360°/25 = 14.4°
θ = 14.4° × π/180 ≅ 0.2512 radian
r = 150/2 = 75 ft
s = rθ = 75×0.2512 = 18.84 ft
area of circle = πr² = 75²π ≅ 17,662.5 ft²
area of sector = 17,662.5/25 = 706.5 ft²
Simplify -5x + 12 - 7x to -12x + 12
-12x + 12 = -3(5x + 8)
Expand
-12x + 12 = -15x - 24
Add 15x to both sides
-12x + 12 + 15x = -24
Simplify 12x + 12 + 15x to 3x + 12
3x + 12 = -24
Subtract 12 from both sides
3x = -24 - 12
Simplify -24 - 12 to -36
3x = -36
Divide both sides by 3
x = -36/3
Simplify 36/3 to 12
<u>x = -12</u>
Answer:
Area of shaded region = 329.70 cm²
Step-by-step explanation:
Area of a circle = πr²
Area of bigger circle = 3.14 × 11²
= 3.14 × 11 × 11
= 379.94 cm²
Area of smaller circle = 3.14 * 4²
= 3.14 × 4 × 4
= 50.24 cm²
Area of shaded region
= Area of bigger circle - Area of smaller circle
= (379.94 - 50.24) cm²
= 329.70 cm²
Let the amount of adult tickets sold be x
Since the total of 380 tickets sold consists of the amount of adult tickets and the amount of children tickets that are 70 fewer:
x + (x - 70) = 380
2x - 70 =380
2x = 450
x = 225
Therefore, the amount of adult tickets sold is 225
