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A triangle has two sides that have lengths of 17 feet and 22 feet. What could the third length possible be?
The surface is defined by the equation x^2 - 2y^2 + z^2 +yz = 2. Write equations of the tangent plane and normal line to this surface at the point P(2, 1, -1)
Find the median score
At an interest rate of 12%, the six-year discount factor is .507. How many dollars is $.507 worth in six years if invested at 12%?
A medical screening program administers three independent physical fitness tests. Of the persons taking the test, 85% pass test I, 70% pass test II, and 50% pass test III. A participant is chosen at random.
Determine the slope-intercept form of the line with x-intercept = -8 and y-intercept = -16 i.e. the line passes through the points (-8, 0) and (0, -16).
You walk 99 yards due south, then 121 yards due west, and then 22 yards due north.
Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is delta = 1500 kg/m^3
Use the equations from Parts a. and b. of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
what could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
Suppose that at a certain instant the volume is 550 cubic cm, the pressure is 80 kPa, and the pressure is increasing at a rate of 100 kPa per min. At what rate is the volume decreasing at this instant?
Let r be the radius on the incircle of tri ABC and a,b,c be the radii of the excircles opposite vertices A, B, and C, respectively. Ilustrate the fact that 1/r = 1/a + 1/b + 1/c. Also, write a proof of this.
A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 138 feet from where the brakes are applied. (Give your answers correct to the nearest whole number.)
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