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Draw a triangle with vertices x(-1,0) y(0,3)z(5,2)


The distance between the centers of the two gears is 20

cm . The shaft of each gear is 5 cm and 9 cm respectively.

A. What are the central angles of the shafts

on the gears? 

B. What is the length of the arc length part

of the belt? 

C. What is the length of the non-contacting part of the belt? 

D. What is the total length of the belt?


There are two hinged vertical mirrors with an angle of

140 °. A horizontal light beam falls on one of these

mirrors at a certain angle and is then reflected from

both mirrors. What is the acute angle between the

beam incident on the first mirror and the beam

reflected from the second mirror?


It is planned to build a bridge AB across the river.

Calculate the length of the bridge if the base BC

= 165 m, ß = 108 °, y = 20 °


If you are 30 m from the foot of the Leaning Tower of Pisa, the top of the Leaning Tower is at

65 ° angle of elevation.. If the tower were perpendicular to the ground, we would could form a

right right triangle and easily obtain the height.. Unfortunately, the tower is inclined towards us

4 ". Calculate to find the height of the tower with such data?


If you are 30 m from the foot of the Leaning Tower of Pisa, the top of the Leaning Tower is at 65 degree angle of of elevation. If the tower were perpendicular to the ground, the tower is inclined towards us 4” . Calculate to find the height of the tower with such data?


What is the value of P(9.1)? What does it tell is about the side length and perimeter of the square?


A bird feeder stands perpendicular to the ground. In the afternoon sun, the bird feeder's shadow is half its height. If the distance between the top of the bird feeder and the top of the shadow is 19 feet, how tall is the bird feeder and how long is its shadow?


please explain to me how you got the answer


The length of the base of a rectangular prism is twice its width. The perimeter of the base is 42 yards. If the volume of the prism is 980 cubic yards, find the height of the prism.


The length of the base of a rectangular prism is twice its width. The perimeter of the base is 42 yards. If the volume of the prism is 980 cubic yards, find the height of the prism.


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