A car travels around a circular track of radius 1.5 miles. It traversed35of a complete revolution. Howfar did it travel?
1 answer:
Answer:
The total distance traveled by the car is 330 miles.
Step-by-step explanation:
The circular track is the circumference of circle with radius 1.5 miles.
Circumference of a circle = 2r
Thus,
Circumference of the track = 2 x x 1.5
= 9.4286571429
Circumference of the track = 9.4286571429 miles
But, one complete revolution by the car is the circumference of the track.
i.e One complete revolution round the track = 9.4286571429 miles
Therefore,
35 complete revolutions round the track = 35 x 9.4286571429 miles
= 330 miles
The total distance traveled by the car is 330 miles.
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Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle = (where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²
Answer:
Step-by-step explanation:
The amount formula in compound interest is:
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2000
t = 7 (number of years from 6th to 13th bday)
n = 4 (quarterly in a year)
Then,