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)
First, convert those inches to feet.
7in =ish 0.5833333
(you find this by dividing 7/12 on a calculator)
Now you just square 9.583333333
9.583333333^2
9.583333333 * 9.583333333
91.84027777ish
Rounded to the nearest foot, means the answer is 92ft.
-2+6x+4+4x
=2+10x
hope it helps
Answer: 8 members of the science group decided to watch the science fiction movie
Step-by-step explanation:
When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie. This means that the total sum of the members of the group that decided to watch the science fiction movie and the members that did not watch the science fiction movie is 40.
If 1/5 of the group decides to watch a science friction movie, that means that 1/5 of 40 watched the science fiction movie. It becomes
1/5 × 40/= 40/5 = 8
8 members of the science group decided to watch the science fiction movie.
Well if each side is 6cm each then u Have to multiply 6x how many sides to the cube there are. So if there are 6 sides to a cube and you have 6cm each side then you have to multiply 6cm X 6 witch = 36 then multiply 36X6=216. So the final answer is 216.
Hope this helps!
