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)
9514 1404 393
Answer:
-3 1/2
Step-by-step explanation:
Put the argument where the variable is and do the arithmetic.
f(-1/4) = 2(-1/4) -3 = -1/2 -3
f(-1/4) = -(3 1/2)
Probably the subsitution method
y=1/2x
subsitute that fr y
2x+3(1/2x)=28
2x+3/2x=28
times 2 both sides
4x+3x=56
7x=56
divide by 7 both sides
x=8
sub back
y=1/2x
y=1/2(8)
y=4
(x,y)
(8,4)
Answer: 75%
Step-by-step explanation:
150/200=.75
200 x .75=150
Now to turn .75 into a percent by moving the . over to the right two times.
75. or 75%
Ok so there is 60 minutes in an hour and you have 107 minutes so
107-60 = 47 ( 60 has become an hour)
So we are left with 47 minutes, so add the hour to 7:45 which will make it 8:45 pm
Then add 15 to make it 9:00 pm ( 47 - 15 = 32)
And so then add 32 minutes to 9:00 pm
Answer is 9:32 p.m.
