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)
Answer:
-5 (4x+y)
Step-by-step explanation:
Factor out -5, and -20/-5=4, -5/-5=1.
Answer:
x=-4
Step-by-step explanation:
Distribute and expand everything in brackets.
2x+2*4x+2*-2+3x=x+3*x+3*-8+4x
2x+8x-4+3x=x+3x-24+4x
Solve like terms
13x-4=8x-24
Place like terms on same side.
13x-8x=-24+4
Solve for x
5x=-20
x=-4
Answer:
35.4cm
Step-by-step explanation:
cubed root of 5= 1.7
16+16+1.7+1.7=35.4