Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 72, Problem 12A
To determine
(a)
The true length of diagonal AB.
To determine
(b)
The value of
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- A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.arrow_forwardGiven: Tangents AB,BC,andACtoO at points M, N, and P, respectively. AB=14,BC=16,AC=12 Find: AM, PC, and BNarrow_forwardGeneralize the results found in Exercise 11 and 12 by answering each of the following questions. Assume that the number of sides in each base of the prism is n. For the prism, what is the a number of vertices? b number of lateral edges? c number of base edges? d total of base of edges? e number of lateral faces? f number of bases? g total number of faces?arrow_forward
- In Exercises 9 to 12, name the method that explains why DGH~DEF. See the figure in the right column. DE=3DG and DF=3DHarrow_forwardThe following Exercises 7 through 19 involve rectangles, parallelograms, trapezoids, and triangles. Given certain values, find the unknown value for each. Where necessary, round the answers to 1 decimal place. Trapezoid: height = 0.42 cm, base (b1)=2.98 m, area = =0.87m2 , base (b2)=arrow_forwardFor Exercise 41 to 44, 1 ft3 of liquid corresponds to 7.5 gallons of the liquid. After a devastating rainfall, a basement floor that is 40 ft by 60 ft is covered in 18 in. of water. a How many cubic feet of water must be pumped from the basement? b How many gallons of water are represented by the answer in parta?arrow_forward
- For Exercise 41 to 44, 1 ft3 of liquid corresponds to 7.5 gallons of the liquid. Kiannas aquarium is box-shaped with dimensions of 2 ft by 1 ft by 8 in. What is the water capacity of her aquarium in gallons.arrow_forwardIn Exercises 9 to 12, name the method that explains why DGH~DEF. DE=3DG and DF=3DHarrow_forwardThe following Exercises 7 through 19 involve rectangles, parallelograms, trapezoids, and triangles. Given certain values, find the unknown value for each. Where necessary, round the answers to 1 decimal place. Trapezoid: base (b1)=24.82 in., base (b2)=21.77 in., area = 202.7 sq in., height =arrow_forward
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