Answer:
1932 credit hours
Step-by-step explanation:
Create a proportion
credits credits
---------- = ----------
students students
14 ?
---- = -----
1 138
14 times 138
1932 credit hours
6/5y-10=-4
move -10 to the other side
sign changes from -10 to 10
6/5y-10+10= -4+10
6/5y= 6
Mutiply by 5/6 for both sides
6/5(5/6)y=6(5/6)
Cross out 6/5 and 5/6 , divide by 5 and 6 then becomes y
Cross out 5 and 6 on the right side
x= 5
Answer : x= 5
This is just here for the 20 character limit but the answer is in the picture.
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)