Consider the point P where the gears meet. When the smaller gear rotates clockwise, the larger one will rotate counterclockwise.
Through one rotation of the smaller gear, P will have traveled the circumference of the smaller gear, which is in.
At the same time, a point P' on the larger gear traverses the same distance along the larger gear's circumference. This point traces out an arc that is subtended by some angle . The arc is as long as the smaller gear's circumference.
The measure of a circle's interior angle subtended by an arc is proportional to a complete revolution, i.e. an angular displacement of radians:
For part 2, we apply the same reasoning to the larger gear. In one full rotation of the larger gear, the point P' traverses the circumference in, and so does the point P on the smaller gear.
A full rotation is 360 degrees, so the smaller gear would have rotated times.
Answer:
4c+4d+36
Step-by-step explanation:
multiply each separate variable inside the parenthesis by the number outside of parenthesis.
Answer:
Surface area is found:
Surface Area = 1700 cm²
Step-by-step explanation:
(The cereal box is shown in the ATTACHMENT)
The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.
L = length = 20 cm
H = height = 30 cm
W = Width = 5 cm
Side 1:
A(1) = L×H
A(1) = 20×30
A(1) = 600 cm²
Side 2:
As the measurements of the side at the back of side 1 has the same measurement of side 1. then:
A(2) = 600 cm²
Side 3:
A(3) = L×W
A(3) = 20×5
A(3) = 100 cm²
Side 4:
As the measurements of the side at the back of side 4 has the same measurement of side 4. then:
A(4) = 100 cm²
Side 5:
A(5) = H×W
A(5) = 30×5
A(5) = 150 cm²
Side 6:
As the measurements of the side at the back of side 5 has the same measurement of side 5. then:
A(6) = 150 cm²
Surface Area:
Adding areas of all the sides
A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150
Surface Area = 1700 cm²
We need a picture to answer this