In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
C. -2° :) hope this helps lmk!
Answer: f-1 (x) = x/4
Step-by-step explanation:
We know that the equation of the line is in the form . To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.
Hence, the equation of the line is , and its graph looks something like follows.
Square root each side
x-5=positive/negative 9
x=14, and -4