Answer:
r = 0.0424 cm (3sf)
Step-by-step explanation:
it makes 150 rev/sec
1 revolution = 1 circumference = 2pi*r
so every second the spool goes through 2*pi*r*150 of distance
we know that the rate of pulling is 40cm/sec
so 2pi*r*150 = 40
r = 40/(2pi*150), which is 0.04244131816 cm.
check: Circumference is 2pi*r = 0.2666
now multiply by 150rev/sec = 40 cm/sec
Answer:
$817.60
Step-by-step explanation:
Simple interest has the formula:
Simple Interest = Principal * rate * time
here,
Principal amount is $730
The rate of interest is 3%, which is 3/100 = 0.03
The time length in years is given as 4
We find the interest amount first:
SI = P * r * t
SI = 730 * 0.03 * 4
SI = 87.6
We are asked to find FINAL BALANCE, which is PRINCIPAL + INTEREST
So,
Final Balance = 730 + 87.6 = $817.60
Answer:
value of x = 5
Step-by-step explanation:
Given:
∠L = ∠n
So,
ML = MN
So,
3x = x + 10
2x = 10
x = 5
value of x = 5
The area of the sector will also be 70/360
Sector area = 70/360 • pir^2
= 7/36 • pi • 8^2
A= 112/9 • pi
A= 39.1 inch^2
He should be able to travel 322 miles. It would cost him $33.235 rounded up to $33.24.
