In triangle XY Z, the measure of ∠XZY is 90◦. Also, Y Z = x cm, XZ = y cm, and hypotenuse XY has length z cm. Further, the perimeter of triangle XY Z is P cm and the area of triangle XY Z is A cm^2. Solve the following subparts: (a) If z = 50 and A = 336, what is the value of P? (b) Determine all possible integer values of x, y and z for which A = 3P. (c) Suppose that x, y and z are integers, that P = 510, and that A = kP for some prime number k. Determine all possible values of k.
In triangle XY Z, the measure of ∠XZY is 90◦. Also, Y Z = x cm, XZ = y cm, and hypotenuse XY has length z cm. Further, the perimeter of triangle XY Z is P cm and the area of triangle XY Z is A cm^2. Solve the following subparts: (a) If z = 50 and A = 336, what is the value of P? (b) Determine all possible integer values of x, y and z for which A = 3P. (c) Suppose that x, y and z are integers, that P = 510, and that A = kP for some prime number k. Determine all possible values of k.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter26: Customary (english) Units Of Measure
Section: Chapter Questions
Problem 3A: Of two gears that mesh, the one with the greater number of teeth is called the gear and the one with...
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In
is A cm^2.
Solve the following subparts:
(a) If z = 50 and A = 336, what is the value of P?
(b) Determine all possible integer values of x, y and z for which A = 3P.
(c) Suppose that x, y and z are integers, that P = 510, and that A = kP for some
prime number k. Determine all possible values of k.
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