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a guy wire to the top of a tower makes an angle of 58 degrees with level ground. At a point 29 feet from the base of the tower and in line with the base of the guy wire, the angle of elevation to the top of the tower is 27 degrees. What is the length of the guy wire?
A triangle has sides a=97 and b=119 and angle A=50 degress. Find to the nearest whole integer, the area of triangle ABC.
How far is the sailboat from the lighthouse, to the nearest kilometer? (50 kilometers going up and down and 130 kilometers going side to side)
optimization, A force of 200 pounds acts on the bracket shown in the figure. Determine the vector AB and the vector F representing the force. Find the magnitude of the moment about A by evaluating Ab multiplied F.
jack spent $20 at the store. He bought 4 pens and a calculator for $10. what was the cost per pen?
find the exact solutions of the equation in the interval [0, 2π).
currently, tyrone has $60 and his sister has $135, both ger an allowance os $5 each week. tyrone decide to save his entire allowance, but his sister spends all hers each week plus an additional $10 each week. after how long will they each have the..
a plane is flying horizontally at an altitude of 2 mi and a speed of 400 miles per hour passes directly over a stadium. find the rate at which the distance from the plane to the stadium is increasing when the plane is 4 mi away from the station?
Show that ~ is an equivalence on M and if a* deontes the equivalence class of a, let M* = {a*| a belongs to M} denote the set of all equivalence classes. Show that a*b* = (ab)* is a well-defined operation on M* deontes.
Probability of guessing four correct out 20 multiple choices, If a student randomly guesses at 20 multiple-choice questions, what is the probability that the student gets exactly four correct?
Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5 minutes (this means L(5)=15 for the function L(t) ) , the function L(t ) = 500(1- e-0.0061t ) approximates the number of words L that a student will le..
Find the length of an arc intercepted by an a central angle of .769 radian on a circle with radius 11.4cm.
Find the equation(s) of the vertical asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
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