Answer:
Step-by-step explanation:
Let c represent the total cost of booking either Uber or Lyft for x miles.
Let m represent the number of miles ridden with either Uber or Lyft.
Uber charges $0.80 per mile and a booking fee of $2.30. This means that the total cost of riding with Uber for m miles would be
c = 2.30 + 0.8m - - - - - - - - - -1
Lyft charges $1.07 per mile with no booking fee. This means that the total cost of riding with Lyft for m miles would be
c = 1.07m - - - - - - - - - -2
Equation 1 and equation 2 are the system of equations that bests models this situation
<h3>
Answer: 79 full rotations</h3>
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Explanation:
150 cm = 150/100 = 1.5 m
The wheel has a diameter of 1.5 meters
The circumference of the wheel is
C = pi*d
C = pi*1.5
C = 1.5pi
C = 4.71238898038469
I'm using my calculator's stored version of pi to get the most accuracy.
Then we divide the 376.8 over the circumference found
(376.8)/(4.71238898038469) = 79.9594434093682
Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.
Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.
Answer:
1)Area; A = ¼πr²
Perimeter; P = πr/2 + 2r
2)A = 19.63 cm²
P = 17.85 cm
3) r = 8.885 cm
4) r = 14 cm
Step-by-step explanation:
This is a quadrant of a circle. Thus;
Area of a circle is πr². A quadrant is a quarter of a circle. Thus;
Formula for Quadrant Area is; A = ¼πr²
A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.
Formula for the quadrant perimeter in the image given is;
P = 2πr/4 + 2r
P = πr/2 + 2r
B) When r is 5 cm;
A = ¼π(5)²
A = 19.63 cm²
P = π(5)/2 + 2(5)
P = 17.85 cm
C) when A is 100cm²:
¼πr² = 100
r² = 100 × 4/π
r² = 78.9358
r = √78.9358
r = 8.885 cm
D) when P = 50 cm.
50 = πr/2 + 2r
50 = (½π + 2)r
r = 50/(½π + 2)
r = 14 cm
Answer:
$95777.5
Step-by-step explanation:
change 7% to decimal = .07
91,000 * .07 = 5370 (annual interest)
5370 / 12 = 530.83 (monthly interest)
530.83 * 9 = 4777.5 (9 months interest)
91,000 + 4777.5 = 95777.5 (initial + 9 months interest)
Answer:
B.
Step-by-step explanation:
The first number minus the 2nd number will close off the distance.
