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A 125ml flask and stopper have a mass of 79.310g. A 25.0ml sample of an unknown organic liquid is pipetted into the flask, and the flask, stopper, and liquid have a total mass of 97.010g . Find the
Jane is making a suit wich requires 2 5/8yards for the jackets and 1 3/4 yards for the skirts. What is the total amount of material she needs?
The plane passes through the point (1,5,1) and is perpendicular to the planes 2x + y - 2z = 2 and x + 3z = 4, what is the equation of this plane?
To protect their young in the nest, peregrine falcons will fly into birds of prey (such as ravens) at high speed. Assume that a 600g falcon flying at 20.0 m/s hit a 1.50 kg falcon flying at 9.0 m/s.
Question: From the top of a lighthouse 136 ft above the surface of the water, the angle of depression of a boat is observed to be 29.7 degrees. Find the horizontal distance from the boat to the ligh
Question: On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 31 m long and the shadow is 20 m, how tall is the building? (Round to the nearest tenth.)
Angle CBA and angle CBD are right triangles with angle C=90 degrees and they share side CB. Segment AD=34.240 feet, angle A=31.625 degrees and angle D=37.247 degrees. What are the lengths of segment
Question: Use inverse trigonometric functions to find a solution to the equation cos(x)=0.6 in the interval 0 leq x leq 4pi. Then, use a graph to to find all other solutions to this equation on this
A man walks 5 miles in a direction 30 degrees north of east. He then walks a distance x miles due east. He turns around to look back at his starting point, which is at an angle of 10 degrees south o
write a rule in function notation that can be used to determine the sales tax on a purchase in Eastchester.
Question: What is the degree measure of the angle through which the hour hand on a clock rotates from 4:00pm to 8:00pm?
An ariplane is flying east at a constant altitude of 30,500 meters. When first seen to the east of an observer, the angle of elevation to the airplane is 63.6 degrees. After 33 seconds, the angle of
Suppose Alex wants to kick a ball over a 10 foot fence. Assuming that gravity has no effect, at what angle would he have to kick the ball if he were standing 6 feet away from the fence?
Question: A surveyor measures the angle of elevation from eye level to the top of a building as 60 degrees. If he is standing 40 m away from the building and is 1.6 m tall, how high is the building
A weight attached to a spring is pulled down 2 inches below the equilibrium position. Assuming that the frequency of the system is 5/π cycles per second, determine a trigonometric model that give
To calculate the height of a tree, susie measures the angle of elevation from a point A to be 34 deg. she measures her distance to be 8 m from the base of the tree. How high is the tree to the neare
Two cities have nearly the same longitude of 101 W. the latitude of the first city is 23 2', and the latitude of the second city is 36 50'. approximate the distance between the cities if the average
The diagonal of a rectangle is 340 millimeters, while the longer side is 277 millimeters. Find the shorter side of the rectangle and the angles the diagonal makes with the sides.
Resolve a force of 60lb into two components, one of which is 38lb and makes an angle of 45 degrees with the given force. Construct a triangle and use the law of sine and cosines.
Four identical particles each have charge q and mass m. They are released from rest at the vertices of a square of side L. How fast is each charge moving when their distance from the center of the s
A flying wedge spaceship is a right triangle in side view. At rest, the base and height (which form the 90° angle) measure 7.6 m and 4.3 m, respectively. As the ship moves parallel to its base w
Use differentials to estimate the maximum error in the calculated volume. What is the relative error?
What is the slope of the graph and what does it represent? What is the F-intercept and what does it represent?
A particle that moves along a straight line has velocity v(t) = t2 e-t meters per second after seconds. How far will it travel during the first seconds?
Prove that the centroid of any triangle is located at the point of intersection of the medians. [Hints: Place the axes so that the vertices are (a, 0), (0, b), and (c, 0).