Geometry

Heights & DistancesKala used a total of 3 5/6 gallons of gas while driving her car. Each hour she was driving, she used 7/9 gallons of gas. What was the total number of hours she was driving?
Write your answer as a mixed number in simplest form.

Geometry

Heights & DistancesFind the dilated vertices of a quadrilateral whose vertices are A (0, 1), B (1, 2), C (2, 1) and D (1, 0), where the scale factor is 10.
A' (0, 10), B' (10, 20), C' (20, 10), D' (10, 0)
A' (0, 5), B (5, 10), C (10, 5), D' (10,0)
A' (0,5), B' (-10, 20), C (5, 10), D' (20, 0)
A' (0, -10), B' (10, 20), C (-20, 10), D' (10, 0)

Geometry

Heights & DistancesFind the distance from the point to the given plane.
(1, -3, 6), 3x + 2y + 6z = 5

Geometry

Heights & DistancesFind the distance between the pair of points (1,5) and (4,8). If necessary, express the answer in simplified radical form and then round to two decimal places.
The distance between the given points is units.
(Simplify your answer. Type an exact answer, using radicals as needed.)
The distance between the given points is approximately units.
(Type an integer or decimal rounded to two decimal places as needed.)

Geometry

Heights & DistancesAt a distance 60m from the base of a tower, a man measures the angle of elevation of the top of the tower to be 35°. His eye is 1.5m above the ground level, with the aid of a diagram calculate the height of the tower.

Geometry

Heights & DistancesA bicycle is traveling at 14 miles per hour. How many feet will it cover in 35 seconds? Round your answer to the nearest tenth of a foot.

Geometry

Heights & DistancesThe Great Pyramid is approximately 150 m. Its height is about 1.5 segments long. Show your work like this. (1.5 * 100m = 150m) for the height of the Great Pyramid. What is the approximate height for the rest of the tall buildings, Eiffle Tower, Willis Tower, CN Tower and Burj Khalifa Tower The size of a rectangular swimming pool measures 50 meters in length and 25 meters in width. Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters. What are the length and width of your scale drawing?

Geometry

Heights & DistancesFind the distance (exact value) between skew lines L₁: = x-2/-6 = y+4/5 = z+7/-2 and L2 : x+5/-6 = y+4/5 = z+7/-2
Briefly explain your work.

Geometry

Heights & DistancesA steep mountain is inclined 74 degree to the horizontaland rises to a height of 3400 ft above the surroundingplain. A cable car is to be installed running to the top ofthe mountain from a point 920 ft out in the plain from thebase of the mountain. Find the shortest length of cableneeded.
Your answer is_______ft