The Length of Earth’s Orbit The Earth is approximately
a. How far does the Earth travel in a year?
b. What is the velocity in miles per year of the Earth in its orbit? (Hint: Recall that
Velocity =
c. How many hours are there in a year? (Note: Assume a year is 365 days)
d. What is the velocity in miles per hour of the Earth in its orbit?
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent to the larger circle and to two sides of the square, as shown. Find the length of the radius of the smaller circle.arrow_forwardIn Exercises 41 and 42, round to two decimal places. A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?arrow_forwardWhen the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.arrow_forward
- From the veranda of a beachfront hotel, Manny is searching the seascape through his binoculars. A ship suddenly appears on the horizon. If Manny is 80ft above the earth, how far is the ship out at sea? HINT: See Exercise 27 and note that 1mi=5280ft. An airplane reaches an altitude of 3mi above the earth. Assuming a clear day and that a passenger has binoculars, how far can the passengers see? HINT: The radius of the earth is approximately 4000 mi.arrow_forwardTwo wires tether a balloon to the ground, as shown. How high is the balloon above the ground?arrow_forwardFor Exercises 23 through 34, round the answers to 1 decimal place. 26. All dimensions in Figure 39-16 are in millimeters. a. Find the radius of this circle. r=c2+4h28h b. Find the length of the arc (I). I=0.0175rarrow_forward
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