I need answer for 1,2,3,4,5 YOU MUST SHOW ALL FORMULAS AND STEP-BY-STEP CONVERSIONS (dimensionalanalysis) WHEN NEEDED. YOUR WORK MUST BE NEAT AND ORGANIZED. WRITE YOURSIMPLIFIED ANSWERS ON THE LINES PROVIDED. READ THE DIRECTIONSCAREFULLY (especially rounding) AND DRAW PICTURES TO HELP.Arc length formula: s=r0Area of a sector formula: A==R²00Angular velocity: @=Linear velocity: v = rot1.Saint Petersburg, Russia and Alexandria, Egypt lie approximately on the same meridian.Saint Petersburg has a latitude of 60° N and Alexandria 32° N. Find the distance (inwhole miles) between these two cities if the radius of the earth is about 3960 miles.2,Sprinkler heads come in assorted sizes depending on the angle of rotation desired. If asprinkler head rotates 115° and has the pressure to keep a constant 14.5-foot spray,what is the area of the sector of the lawn that gets water? Round to the nearest squarefoot.3.A lighthouse in the middle of a channel rotates its light in a circular motion with constantvelocity. If the beacon of light completes one rotation every 8.5 seconds, what is theexact angular velocity of the beacon in radians per minute?3.4.Consider two gears working together (in a pulley-like situation) such that the smaller gearhas a radius of 10 cm, while the larger gear has a radius of 26 cm. Find the radianmeasure rotation of the smaller gear when the large gear makes three completerotations.5.Each tire on a car has a diameter of 16.5 inches. The tires are rotating at 460revolutions per minute. Find the speed of the automobile to the nearest mile per hour.Use dimensional analysis in steps when you show your work.

Answered: Image /qna-images/answer/c6ebd6aa-339b-4644-b418-68e3ca097845.jpg

4. Consider two gears working together (in a pulley-like situation) such that the smaller gear has a radius of 10 cm, while the larger gear has a radius of 26 cm. Find the radian measure rotation of the smaller gear when the large gear makes three complete rotations. 5. Each tire on a car has a diameter of 16.5 inches. The tires are rotating at 460 revolutions per minute. Find the speed of the automobile to the nearest mile per hour. Use dimensional analysis in steps when you show your work.

4. Consider two gears working together (in a pulley-like situation) such that the smaller gear has a radius of 10 cm, while the larger gear has a radius of 26 cm. Find the radian measure rotation of the smaller gear when the large gear makes three complete rotations. 5. Each tire on a car has a diameter of 16.5 inches. The tires are rotating at 460 revolutions per minute. Find the speed of the automobile to the nearest mile per hour. Use dimensional analysis in steps when you show your work.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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I need answer for 1,2,3,4,5

YOU MUST SHOW ALL FORMULAS AND STEP-BY-STEP CONVERSIONS (dimensional
analysis) WHEN NEEDED. YOUR WORK MUST BE NEAT AND ORGANIZED. WRITE YOUR
SIMPLIFIED ANSWERS ON THE LINES PROVIDED. READ THE DIRECTIONS
CAREFULLY (especially rounding) AND DRAW PICTURES TO HELP.
Arc length formula: s=r0
Area of a sector formula: A==R²0
0
Angular velocity: @=
Linear velocity: v = ro
t
1.
Saint Petersburg, Russia and Alexandria, Egypt lie approximately on the same meridian.
Saint Petersburg has a latitude of 60° N and Alexandria 32° N. Find the distance (in
whole miles) between these two cities if the radius of the earth is about 3960 miles.
2,
Sprinkler heads come in assorted sizes depending on the angle of rotation desired. If a
sprinkler head rotates 115° and has the pressure to keep a constant 14.5-foot spray,
what is the area of the sector of the lawn that gets water? Round to the nearest square
foot.
3.
A lighthouse in the middle of a channel rotates its light in a circular motion with constant
velocity. If the beacon of light completes one rotation every 8.5 seconds, what is the
exact angular velocity of the beacon in radians per minute?
3.
4.
Consider two gears working together (in a pulley-like situation) such that the smaller gear
has a radius of 10 cm, while the larger gear has a radius of 26 cm. Find the radian
measure rotation of the smaller gear when the large gear makes three complete
rotations.
5.
Each tire on a car has a diameter of 16.5 inches. The tires are rotating at 460
revolutions per minute. Find the speed of the automobile to the nearest mile per hour.
Use dimensional analysis in steps when you show your work.

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