Draw a diagram to illustrate the problem as shown below.

When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.

Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°

Answer: 205.7° (nearest tenth)

Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions

Answer:
The smaller gear makes 1.75 rotations

7 0

3 years ago

CAN SOMEONE EXPLAIN AND MAYBE SHOW ME STEP BY STEP WHY THE ANSWER IS 75degrees. HURRY 50 points and brainiest!!!

Strike441 [17]

<h2>Answer:</h2>

m∠MLQ = 60°. (<u>Equilateral triangle</u>)

Hence, m∠QLP = 30°.

<u>ΔLQP is an isosceles triangle (LQ and LP are congruent)</u>

m∠LPQ = m∠LQP = (180 - 30)/2

m∠LQP = 150/ 2

m∠LQP = 75°.

6 0

3 years ago

List parallelograms, polygons, quadrilaterals, and rectangles in order from the least specific group to the most specific one.

a_sh-v [17]

Answer:

(B)

Step-by-step explanation:

Option (B) is in correct order when talking about the specific ones.

Polygon is the least specific as it can be of many sides.

example: A polygon with 3 sides is a triangle. and the polygon with 4 sides is a quadrilateral.

Hence, quadrilateral is on the second number in least specific group.

Quadrilaterals with 2 sides parallel and equal are known as parallelogram.

Therefore, they are on the 3rd number in specific group.

Parallelograms with opposite sides parallel and equal and all the vertex angles at right angles are known as rectangles.

Therefore, rectangles are the most specific one in the group. The list is given by (option (B):

1) polygons

2) quadrilaterals

3) parallelograms

4) rectangles.

mark brainliest :)

5 0

3 years ago

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