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)
It is 1 because a penny is worth 1 cent.
Answer:
gradient = - 
, y- intercept = 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 5 ( subtract 3x from both sides )
4y = - 3x + 5 ( divide terms by 4 )
y = - x + ← in slope- intercept form
with slope m = - and y- intercept c =
I think the distance is 8 1/8 feet
Step-by-step explanation:
since for one muffins we need 20.35 g of flour
then for 700 muffins we need 20.35×700=14245g
14245g= 14.245kg
since she has 10.8kg then she needs extra (14.245-10.8)kg
=3.445kg
