It is difficult to measure the height of a tall tree, particularly when it is growing in a dense forest. However, it is relatively easy to measure its base diameter. The formula
models a tree’s height, h, in meters, in terms of its base diameter, d, in centimeters (Source Thomas McMahon, Scientific American, July, 1975).
a The largest known sequoia, the General Sherman in California, has a base diameter of 985 centimeters (about the size of a small house) Use a calculator to approximate the height of the General Sherman to the nearest tenth of a meter.
b Rewrite the formula in radical notation.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Print Offer Introductory Algebra For College Students (7th Edition)
- A man throws a ball into the air with a velocity of 96 ft/s. Use the formula h=16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth.arrow_forwardA man throws a ball into the air with a velocity of 96 ft/sec. Use the formula h=16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth of a second.arrow_forwardA bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)arrow_forward
- A steel forging is in the shape of a frustum of a regular pyramid. It has a larger base area of 58.30 square inches and a smaller base area of 40.0 square inches. The height is 5.10 inches. Find the weight of the forging. The steel weighs 490.3 pounds per cubic foot. Round the answer to the nearest tenth pound.arrow_forwardA sphere has a volume, V, of 12.249 cu in. Use the formula D=V0.52363to determine the diameter, D, of the sphere.arrow_forwardBen starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 6 mi/h. How long will it be before Amanda catches up to Ben?arrow_forward
- The approximate distance d (in feet) that travel after noticing that they must come to a sudden stop is given by the following formula, where x is the speed of the car (in mi/h): d=x+x220 If a car travels 75 ft. before slopping, what was its speed before the brakes were applied?arrow_forwardLook at the two figures below. (a) Which figure looks like it has the larger area? Which looks like it has the larger perimeter? (b) Now calculate the area and perimeter of each figure. Which has the larger area? Which has the larger perimeter? (c) Were the results of part (b) the same as your answers in part (a)? Is that surprising to you?arrow_forwardAn arrow is shot from the ground into the air at an initial speed of 108 ft/sec. Use the formula h=16t2+v0t to determine when the arrow will be 180 feet from the ground. Round the nearest tenth of a second.arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning