Answer:
A). 18.84 radians per minute
B). 376.80 feet per minute
Step-by-step explanation:
As we know carousal is moving with 3 revolutions per minute.
(a). Angular speed = 3 revolutions per minute
= 3 × (2π) per minute
= 6π per minute
= 6×(3.14)
= 18.84 radians per minute
B). Since linear speed = Radius × Angular speed
= 
= 20 × 18.84
= 376.80 feet per minute
The number is 6 because five times 6 is 30, and 30 minus 2 is 28. You could also solve this backwards in the future and take 28 plus 2 and then divide that number by 5 (opposite of subtracting 2 is adding two, opposite of multiplying by five is dividing by 5).
5x-2=28 (writing it this way might also help, because now you just have to solve for x)
Range is infinity
so it’s just yER
and there’s no horizontal asymptote, this function doesn’t have one
Answer: length = 8 units
Width = 2 units
Step-by-step explanation:
Let the length of the rectangle be represented by L
Let the width of the rectangle be represented by W
The sum of 5 times the width of a rectangle and twice its length is 26 units. This means that
5W + 2L = 26 - - - - - - - - 1
The difference of 15 times the width and three times the length is 6 units. It means that
15W - 3L = 6 - - - - - - - - 2
The system equations are equation 1 and equation 2.
Multiplying equation 1 by 3 and equation 2 by 2, it becomes
15W + 6L = 78
30W - 6L = 12
Adding both equations,
45W = 90
W = 90/45 = 2
15W - 3L = 6
15×2 - 3L = 6
-3L = 6 - 30 = - 24
L = - 24/ -3 = 8
Step-by-step explanation:
m< AOC = 90°
m< AOB +m<BOC = 90°
6x-12+3x +30 = 90°
9x +18° = 90°
9x = 90- 18° = 72°
x = 8°
m<AOB =6(8)-12 = 48-12 = 36°
