Questions on Word Problems: Geometry answered by real tutors!

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Question 1174818: A skier drops a total of 700 vertical feet while skiing 1200 ft down the slope.
What is the angle of the ski slope with the horizontal?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1175376: a square is surrounded by four congruent rectangles as shown. If each rectangle has a perimeter of 20 units. What is the sum of the areas of the rectangle and the interior square?
Click here to see answer by greenestamps(13200)

Question 1175400: The area of a square is (3x+5)^4. What is the measure of each side? Show the solution.
Click here to see answer by ikleyn(52781)

Question 1175404: Different animals have different fields of view. Humans can generally see a 180° arc in front of them. Horses can see a 215° arc. A horse and rider are in Baguio City which is experiencing heavy fog, so they can see for only 10 yards in any direction.
a. Find the area of the rider's field of view.
b. Find the area of the horse's field of view.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1175537: A construction site in the shape of a square is surrounded by a wooden wall 2m high . If the length of one side of the wall is 45m,find the area of the construction site

Click here to see answer by ikleyn(52781)

Question 1175629: Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle.
Click here to see answer by VFBundy(438)

Question 1175803: At a certain Japanese restaurant, the owner decided to buy square plates that allow a 20-inch chopstick to lie perfectly along the diagonal of the plate. What is the area of one of these plates?
Click here to see answer by ikleyn(52781)

Question 1175889: While on a Boy Scout hike, Jeremy walked 15.0 km north, 5 km east, 18.0 km north, and 32.0 km west. The resultant displacement for Jeremy's hike is ____ km. Enter a numerical answer. Round your answer to the nearest tenth.

Click here to see answer by CubeyThePenguin(3113)

Question 1175887: An ant walks 3.0 meters due west and then 6.0 meters due north. The magnitude of the ant's displacement is ___meters. Enter a numerical answer. Round your answer to the nearest tenth.
Click here to see answer by ikleyn(52781)

Question 1175888: A student in 1984 was playing the interactive video game known as Pac-man. In this game he moved a yellow Pac-man 13.0 cm up and 18.0 cm left. The Pac-man's net displacement was closest to ___ cm. Enter a numerical answer. Round your answer to the nearest tenth.

Click here to see answer by ikleyn(52781)

Question 1175886: An ant walks 1.0 meters due west and then 3.0 meters due north. The direction of the ant's displacement is ____ degrees. (Use the counter-clockwise from East convention.) Enter a numerical answer. Round your answer to the nearest tenth.
Click here to see answer by ikleyn(52781)

Question 1175996: Find the cost of painting the outer surface of a closed rectangular tank 3.6 m long, 2.5 m wide and 2 m deep
with paint at 75 cents per square
Click here to see answer by ewatrrr(24785)

Question 1176066: Sandra is flying a kite at the end of a string that forms a straight segment that is 250 feet long. She holds the bottom of the string 3.5 feet above the ground. The angle formed by the string and ground level is 70∘
What is the vertical distance in feet, between the kite and the ground? Round your answer to the nearest foot.
Click here to see answer by ikleyn(52781)

Question 1176065: In right triangle ABC with right angle at C,sin A=2x+0.1 and cos B=4x-0.7 Determine and state the value of x.
Click here to see answer by Boreal(15235)

Question 1171422: The length of a rectangle with an area of (x^2 + 10x) square units if the width is x units is
Click here to see answer by CubeyThePenguin(3113)

Question 1176186: A dog leaps into the air with an initial vertical velocity of 12 feet per second. How many seconds will it be until the dog lands back on the ground?

Click here to see answer by ikleyn(52781)

Question 1176247: Kayson is looking at two buildings, building A and building B, at an angle of elevation of 40°. Building A is 120 feet away, and building B is 60 feet away. Which building is taller and by approximately how many feet?
Building A; it is around 100.69 feet taller than building B
Building A; it is around 50.34 feet taller than building B
Building B; it is around 100.69 feet taller than building A
Building B; it is around 50.34 feet taller than building A
Click here to see answer by Boreal(15235)

Question 1176292: a baseball diamond is 90 feet from each base. how far would it be to throw a ball from home plate to second base? would it be the same distance to throw from first to third base?
Click here to see answer by ewatrrr(24785)

Question 1176352: Catherine designed a pendant it is a regular hexagon set in a circle suppose the opposite vertics connected by the line segment and meet at the center of the center of the circle.what is the measure of each angle formed at the center
Show solution
We
Click here to see answer by ikleyn(52781)

Question 1176501: The length of a rectangle is 13 centimeters less than its width. What are the dimensions of the rectangle if its area is 90 square centimeters
Click here to see answer by Boreal(15235)

Question 1176507: Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the right. The area of the photo will be half the area of the entire ad. What is the value of x
Click here to see answer by ikleyn(52781)

Question 1176574: Using the diagram below, find YZ if XW = 14, ZW = 10, and XY = 2.
Here is a link to the diagram:
http://assets.openstudy.com/updates/attachments/55346523e4b05092e55ce833-clynnew-1429497131546-p2.jpg
For this I got: YZ = 1 3/7, is this correct?
Click here to see answer by MathLover1(20849)

Question 1176704: stan wants to put a rectangular garden in his backyard. he has sketched out a plan for the garden on a grid of his rectangular backyard. the scale for the grid is 1 unit equals 3 feet
Click here to see answer by ikleyn(52781)

Question 1176794: A pool measuring 16 meters by 20 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 1152 square meters, what is the width of the path?
Click here to see answer by josgarithmetic(39617)

Question 1176895: If two opposite sides of a square are increased by 7 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 64 square meters. Find the area of the original square.
Click here to see answer by ikleyn(52781)

Question 1176894: A total of 1,200 teachers attended a mathematics conference. Early bird registration fee is at 2,000 pesos per teacher while regular registration fee costs 2,500 pesos per teacher.
a. If x is the number of teachers who registered early, express the total fees collected in terms of x.
b. If 2,825,000 pesos were collected, how many of each type registered?
Click here to see answer by MathLover1(20849)

Question 1176987: Find the area and perimeter of a plot of land decided by a radius of 35-foot and a 105-degree circular arc.
Click here to see answer by Alan3354(69443)

Question 1177031: The diameter of the large piston of a hydraulic press is 20 cm, and the area of the small piston is 0.50 cm^2. If a force of 400 N is applied to the small piston, (a) what is the resulting force exerted on the large piston?
(b) What is the increase in pressure underneath the small piston? (c) Underneath the large piston?

Click here to see answer by ikleyn(52781)

Question 1177129: A Mexican restaurant sells quesadillas in two sizes a large 10 inch round quesadilla and a small 4 inch round quesadilla. Which is larger Half of the 10 inch quesadilla or the entire 4 inch quesadilla.
Click here to see answer by josgarithmetic(39617)

Question 1177208: A rock was thrown upwards off of a seaside cliff and fell down to the beach below.
Its motion was described by h = −16t² + 16t +125 where h is the vertical distance above the beach in meters and t is time after throwing in seconds.

What was the height of the cliff? How can you tell?
How can you tell that the motion of the rock had a maximum height?
Show how to convert the equation in standard form to the vertex form using the method of completing the square.

What was the vertex of the throw?

What was the maximum height of the rock?
How much time had passed since the throw when the maximum height was reached?

When did the rock hit the beach below?

At what time(s) did the rock reach a height of 127m?

At what height was the rock after 2 seconds?

Click here to see answer by ikleyn(52781)

Question 1177207: The sum of two numbers is −34. You want to maximize their product. Determine the two numbers m and n using the method of completing the square. Show your work.

Click here to see answer by MathLover1(20849)

Question 1177200: A ball is thrown vertically downward from the top of a building, leaving the thrower’s hand with a velocity
of 30 ft/s.
(a) What will be its velocity after falling for 2 sec?
Click here to see answer by Solver92311(821)

Question 1177339: a construction crew

Click here to see answer by ikleyn(52781)

Question 1177350: Molly casts a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If Molly is 6 feet tall, how tall is the tree?
Click here to see answer by ikleyn(52781)

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