18,19 f map = 6x + 12 and mzq -7x-1, find the value of x so that p is perpendlcular to q.GN12=906x=90-127-1318. If m41 = 4x-7 and mz2 6x-13, find the value of x so that z1 is complementary to 2.19. Find the measures of two supplementary angles if one angle is 32" larger than the other.20. IFx 6, find the perimeter of a rectangle whose length is 5x + 7 and whose width is 2x-321. The volume of a pyramid is 28 cubic centimeters, and its helght is 6 centimeters. Find thearea of the pyramid's base.22. Find the volume of a cone that has a radius of 4 cm and a height of 10 cm.

Two angles are said to be complementary angles if their sum is 90°. Two angles are said to be…

Answered: If m1 4x-7 and mz2 6x- 13, find the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.
Three-point difference method should be used for t = 0 and t = 10 since we want second-order accuracy O(h2). Please compute and show the work.
When the driver of a vehicle observes an impediment, the total stopping distance involves both the reaction distance (the distance the vehicle travels while the driver moves his or her foot to the brake pedal) and thebraking distance (the distance the vehicle travels once the brakes are applied). For a car traveling at a speed of v miles per hour, the reaction distance R, in feet, can be estimated by R(v) = 2.2v. Suppose that the braking distance B, in feet, for a car is given by B(v) = 0.05v2 + 0.4v - 15.(a) Find the stopping distance function D(v) = R(v) + B(v). (b) Find the stopping distance if the car is traveling at a speed of 60 mph.(c) Interpret D(60).
The productivity of a country is given by f(x,y)=14.41x0.427y0.573, where x is the amount of labor and y is the amount of capital. (A) Find fx(x,y) and fy(x,y). (B) Find fx(69,54) and fy(69,54), and interpret the results.
What is the special solution y0 of the y'''+3y'+2y=(e2x)/(ex+1) You can find given options at the attachment. Thanks for your help.
In order to investigate whether a particular medicine has the side effect of raising blood pressure, the blood pressure was measured before and after treatment on 25 patients. The following measure was obtained, xi is for blood pressure for patient nr i before treatment and there yi for blood pressure after treatment, i = 1, 2, ..., 25, and zi = yi − xi . We got ¯x = 149.1 ¯y = 150.8, ¯z = 1.7, sx = 8.2, sy = 9.4, sz = 1.6, where sx and sy are the standard deviations for the x- and y-values, and then sz is the standard deviation for the z-values. How much higher is the average blood pressure after treatment compared to the blood pressure before treatment? Answer the question by calculating a 95% confidence interval under the normal distribution assumption.

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If m1 4x-7 and mz2 6x- 13, find the value of x so that z1 is comnplementary to 2. Find the measures of two supplementary angles if one angle is 32 larger than the other.