Distance covered in 1 rotation = circumference of the wheel
= 2r
= 2 x x 14
= 2 x 22 x 2
= 88 inches
Distance covered in 10 rotations = 88 x 10 = 880 inches
Therefore, the bike covers 880 inches after 10 rotations.
Answer:
Step-by-step explanation:
From AAA, both triangles in this figure are similar. Therefore, we can set up the following proportion:
or .
Cross-multiplying, we get:
.
Answer:
x = -2 and 1
Step-by-step explanation:
Given :
f(x) = x+2
g(x) = -x²+4
The solution to the equation f(x) = g(x)
=> x+2 = -x²+4
=> x²+x = 4-2
=> x²+x -2 = 0
By factorisation
=> x²+2x-x -2 = 0
=> x(x+2) -1(x+2)
=> (x+2) (x-1)
x = -2 and 1
Answer:
3.14 ft
Step-by-step explanation:
The arc AB is the minor arc of the given circle. The length l of the minor arc of a circle is given as
l = Ф°/360° × 2πr
where
Ф is the angle of the arc at the center of the circle
r is the radius of the circle and
π is a mathematical constant equivalent to 22/7
r = 8/2 = 4 ft
Hence
l = 45°/360° × 2 × 22/7 × 4
= 22/7 ft
= 3.14 ft