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9. A birdhouse sits on top of a pole. A wire attached 3 ft below the top of the pole is attached to an anchor which is 12 ft from the bottom of the pole. If the hypotenuse of the right triangle formed by the pole, wire, and ground is 18 ft long, find the height of the pole. Round your answer to one place.
10. The hypotenuse of a right triangle is 6 ft longer than the shortest side. If the sum of the lengths of the two legs is 21 ft, find the lengths of all three sides.
11. Find the equation of the axis of symmetry for the parabola given by y = x2 + x – 12.
12. Find the equation of the axis of symmetry for the parabola given by y = x2 + 15x.
14. Find the coordinates of the vertex for the parabola given by f(x) = x2 – 2x.
15. Find the coordinates of the vertex for the parabola given by y = 2x2 + 8x + 11.
Find the area of the region bounded by the x-axis and the function f(x)=2x/(x^2+4) over the interval [-2,2].
If you have 120 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Find Roulette probability. One option in a roulette game is to bet $18 on red.There are 18 red compartments,18 black compartments,and 2 compartments neither red nor black.If the ball lands on red you get to keep the $18 you paid to play the game
At the the Pittsburg zoo, children ride a train for 25 cents, adults pay $1.00, and Senior citizens 75 cents. On a given day, 1400 passengers paid a total of $740 for the rides.
a slice of pie with a scoop of ice cream has 850 calories. The calories in the pie alone are 100 more than twice the calories in the ice cream alone. How many calories are in each food?
Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save a lot of digging.
Find the mass and center of mass of a wire in the shape of the helix x = t, y = cos(t), z = sin(t), 0 ≤ t ≤ 2π, if the density at any point is equal to the square of the distance from the o.
A bowl is shaped like a hemisphere with diameter 30 cm. A heavy ball with diameter 10 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume of water in the bowl.
A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answ..
1 cbt has agreed to finance the needs of a stereo wholesaler for the next month. to complete the loan agreement the
Suppose that 646 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. Find the dimensions of the corral with maximum area (in terms of x and y)
Lead has a Half-Value Layer (HVL) of 0.3mm for 140 KeV X-rays. What is the minimum thickness of a lead slab to reduce the incident energy to less than 1%?
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