A one-lane highway runs through a tunnel in the shape of one-half a sine curve cycle. The opening is 32 feet wide at road level and is 17 feet tall at its highest point. (a) Find an equation for the sine curve that fits the opening. Place the origin at the left end of the opening. (b) If the road is 16 feet wide with 8-foot shoulders on each side, what is the height of the tunnel at the edge of the road? 32 ft 17 ft 16 ft

Q: 5 Jennifer boards a Ferris wheel which has a diameter of 140 meters. The center of the wheel is 75…

A: The Ferris wheel rotates at a rate of 2π/25 radians per minute. Since one revolution is equal to 2π…

Q: A piano tuner uses a tuning fork. If middle C has a frequency of 264 vibrations per second, write an…

A: Given: Frequency (f) = 264 hz We know that frequency is given by the formula:

Q: Guadalupe boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple…

A:

Q: Could you please show me how to solve #59? I have attached a photo of the answer as well,I would…

A:

Q: 1. Draw the graph of the function defined by the equation z = sin 0 for values of 0 from -360° to…

A: z = sin theta is plotted below... The height of any point on Ferris wheel always follow the graph of…

Q: Could you please show me how to solve #63? I have attached a photo of the answer as well,I would…

A:

Q: How do you decide whether to use a positive or negative sign in the half-angle formula for sine and…

A: Solving the following problem

Q: A Ferris wheel is 3 feet off the ground. It has a diameter of 50 feet and rotates every 24 seconds.…

A: Disclaimer: since you have posted sub multiples parts of a question, we will solve only first three…

Q: The angular speed of a point on Earth is π/12 radian per hour. The Equator lies on a circle of…

A: Linear velocity: v=rw Where r is radius of a circle. And w is the angular velocity.

Q: A bicycle with 28 inch diameter wheels is moving at a steady speed. If the wheels are turning at…

A:

Q: Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function.…

A: Finding sine function

Q: A Ferris wheel completes 1 revolution every 18 seconds. At the top, a seat is 16 metres above the…

A: Hope this is useful

Q: Number of hours of Daylight vs. Month/date 10 Jan 1 Mar 1 May 1 Jul 1 Sep 1 Nov 1 hitate Number of…

A: Consider x and y to be the number of days from Jan 1 and the number of hours of daylight,…

Q: A radio station, 98.1 on the FM dial, has radio waves with a frequency of 98.1 million cycles per…

A: Given: The frequency is f = 98,100,000 Hz.   In equation d=sinωt, ω is the angular frequency given…

Q: has a pet hamster, Fred, who he loves to run on his wheel. The hamster wheel has a diameter of 12 cm…

A: Diameter of hamster wheel: 12 cmBase of the wheel is 2 cm of the ground.Fred can turn the wheel 3…

Q: h one complete period of the equation y = 2 sin (3x) + 5

A: Given: The equation of the sinusoidal function  y = 2 sin (3x) + 5 .

Q: In whoville, the amount of rainfall varies greatly each week and follows a sinusoidal pattern. The…

A: Weekly rainfallWeekRainfall(mm)11.423.134.342.951.260.171.382.794.3103.2111.1120.2131.2142.8

Q: Suppose you take a ride on a Ferris Wheel that has a radius of 100 feet. The center of the wheel is…

A: Since you have asked multiple questions, we will solve the first three subparts for you. If you want…

Q: Jonathan was watching his little brother Will play on a swing set. He decided that he would like to…

A: Given - Jonathan was watching his little brother will play on a swing set. He decided that he would…

Q: Could you please show me how to solve #61? I have attached a photo of the answer as well,I would…

A:

Q: HYPOTHESIZE: a) How many cycles of the sine function do you think will need to fit between 0 and…

A:

Q: Write the equation of a sine function that has a maximum at (70°, 3) and a minimum at (160°, -5)

A: