Mathematics, 12.11.2019 04:31, gatorr2010

# Asearchlight rotates at a rate of 3 revolutions per minute. the beam hits a wall located 12 miles away and produces a dot of light that moves horizontally along the wall. how fast (in miles per hour) is this dot moving when the angle θ between the beam and the line through the searchlight perpendicular to the wall is π3? note that dθ/dt=3(2π)=6π.

speed of dot = mph.

note: watch the units! this problem asks for the answer in miles per hour, not in miles per minute!

b. a conical water tank with vertex down has a radius of 12 feet at the top and is 27 feet high. if water flows into the tank at a rate of 10 ft3/min, how fast is the depth of the water increasing when the water is 18 feet deep?

the depth of the water is increasing at ft/min.

c. a street light is at the top of a 13 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 7 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 30 ft from the base of the pole?

Answers: 1

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Flashback to semester a. are triangles pqr and stu congruent? what is the congruency that proves they are congruent? what is the perimeter of triangle pqr? show your work.

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Can someone check if i did this correct. it’s number 4 if you’re wondering.

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2pointswhich of the following appear in the diagram below? check all that apply. d a. zcdeов. сеo c. aéo d. zdce

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Which graph represents the parent function of y=(x+2)(x-2)

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