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)
The equation will be y=-5/9x+16/3
Answer:

Step-by-step explanation:
Formula for finding the volume of a triangular prism is given as:

where,
b = breadth = 7cm
h = height = 6cm
l = length = 10cm
Thus,




Answer:
need points sorry 38484343
Step-by-step explanation:
Answer:2/3
Step-by-step explanation:
3/9=1/3
1/3+1/3=2/3