Questions on Word Problems: Geometry answered by real tutors!

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Question 456786: You want to build a rectangular fence which is 4 feet longer than it is wide. You want the area enclosed by the fence to be 35 square feet. How wide is the fence (we are asking for the smaller side length)?
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Question 456794: a tree 15 meters high casts a shadow 10 meters long. what is the angle of elevetion of the sun to the nearest degree?
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Question 456918: The perimeter of a rectangle is 78m. The length is 6m more then twice the width. Find the dimension.
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Question 457036: Simplify the following complex numbers: i32
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Question 457019: h= 16t+28f+6,where height,h,is in feet and the time,t,is in seconds.How long does it take for this ball to reach a height of 12 feet?
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Question 457307: Find the length of the diagonal of a cube with side length 10cm.
Thank you.

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Question 457307: Find the length of the diagonal of a cube with side length 10cm.
Thank you.

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Question 457463: If there is have 38 square inches of cardboard to make a box that has a width of 1/2 inch and the height must be 5 inches how do you find the length the box should be

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Question 457682: The volume of a can is about 50.24 in3. The radius of its base is 2 inches. How tall is the can?

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Question 457795: if a 24 ft. ladder makes a 58 degree angle with the ground, how many feet up a wall will it reach?
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Question 457829: Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necessary. Q1) 3x+2y=6 and 3x+2y=0
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Question 457925: 3. A customer wants to make a tree house in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the tree house, and he wants the tree house to be 24 feet across and 5 feet tall (see figure). How long should the pieces of PVC plumbing pipe be?
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Question 458045: A square is to be built inside a circular area. Each corner of the square touches the circle. If the radius of the circle is 3, how much greater is the area of the circle than the square?
A. 9-9/2pi, B. 9-9pi, C. 9-9pi, D. 9pi-9, E. 9pi-18
I already did 3.14x9= 28.26 area of the circle.
Which is 9pi
Which one is it?

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Question 458233: the are of a rectangle is 525 cm squared. find the dimensions of a rectangle if the ratio of the length to the width is 7:3.
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Question 458324: The area of a rectangular wall of a barn is 108 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn?
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Question 458688: the distance all around a classroom is 18cm.The room is twice as long as its width. Find a)Its Length b)Its Width.
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Question 458823: the sum of two angle is 130. if the larger is 10 more than twice the smaller find the 2 angle

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Question 458783: A ramp at the loading dock of an automobile mnufacturing plant makes a 13 degree angle with the ground. The bottom of the ramp is 25 m from the building. What is the length of the ramp to the nearest meter?
I tried cos 13=25/x but it gives me about 25.8. According to the answer key, the answer is 24. What am I doing wrong??

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Question 458982: The perimeter of a rectangle with length, l and width, w is given by P = 2w + 2l. If the perimeter of a certain rectangle is 78 centimeters and the width is 12 centimeters, what is the length? Please show all of your work.
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Question 459187: If five of the exterior angles of a convex hexagon measure 55°, 60°, 63°, 70°, and 81°, find the measure of the sixth exterior angle.
1. 31°
2. 60°

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Question 459625: Determine the slopes of the lines parallel and perpendicular to the graph of 3x - 6 = -y
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Question 459809: if the surface area of a rectangular solid is 136 in2, find h if l =8in. and w=4in.
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Question 459952: Find the maximum or minimum of: f(x) = x2 + 4x + 4. What is the value of x that produces the maximum (or minimum)?
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Question 459949: 2. Using the formula f(x) = x2 – 2x + 1, find if it has a maximum or minimum and give that point. What is the x-intercepts.

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Question 459881: If a right circular cylindrical vessel is one-quarter full, and you added seven liters of liquid that made the vessel three-fifths full, what is the total capacity of the vessel in liters?
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Question 459960: A wire 41 inches long needs to be cut into three pieces so that it can be formed into two identical circles and a square. The length of the side of the square must equal the diameter of the circles.approximate where the wire should be cut. Please show me how to solve this ..
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Question 460490: How much greater is the area of the square than that of the circle if the diameter of the circle is 10
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Question 460969: Cynthia Besch wants to buy a rug for a room that is 11 ft. wide and 30 ft. long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 252 sq. ft. of carpeting. What dimensions should the rug have?
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Question 461218: James is building a ramp for his elderly grandmother. If he builds it 3 feet above the ground and if it has a 4 foot base, how long will the ramp be?
A. 3 feet
B. 5 feet
C. 8 feet
D. 10 feet

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Question 461409: Find the perimeter and area of a right triangle if one leg measures 12 yd. and the other leg measures 35 yd.
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Question 461417: what is the exact circumference of a circle with a diameter of 15 inches


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Question 461819: if two angles of a triangle are equal ant the measure of the thrd angle is 4 degress less than twice of eache of the other angels what is the measure of the largest angle?
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Question 461959: Business and finance. Seven employees of an office donated a total of $172.06 during a charity drive. What was the average donation?
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Question 461959: Business and finance. Seven employees of an office donated a total of $172.06 during a charity drive. What was the average donation?
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Question 462157: James scored 19 times during one basketball. He scored a total of 28 points, two for each field goal and one for each free-throw. How many field goals did he make? How many free-throws?
a) define one variable for the number of field goals made. another variable for the free-throws.
b) write an expression that represents the total points made from field goals. another one for free-throws.
c) write an equation that describes the number of times that James scored during the game. write an equation for the total score.

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Question 462234: Please help me solve this. Ive just started learning and I do not understand.
A rectangle has a perimeter of 130cm. If the length of the rectangle is 4 times its width, find the demensions of the rectangle.

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Question 462469: Using the formula f(x) = x^2 – 2x + 1, find if it has a maximum or minimum and give that point. Also give x-intercepts.
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Question 462470: When we say a TV is 42 in., we mean the diagonal is 42 in. For a 42-in TV, the width is 15 in. more than the height. Find the dimensions of a 42-in. TV.
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Question 462669: a boat is 1000 meters from a cliff. if the angle of depression from the top to the boat is 15 degree, how tall is the cliff? round your answer to the nearest tenth.
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Question 462917: What is the area of a square whose sides are 5 feet 9 inches long?
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Question 463082: a plywood has an area 225 feet how long is each side?
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Question 463101: The base of a rectangle is (x+2) cm and the height is (x-3) cm. If the area is 24 cm2, find the base and height.
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Question 463624: How much greater is the area of a square that has one side equal to 4 feet than a rectangle that measures 3 feet long and 2 feet wide?
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Question 463961: A water fountain with a 4 ft. by 4 ft square base is placed on a square grassy park area that is x ft on a side. To determine the amount of grass seed needed for the lawn, find a polynomial for the grassy area.
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Question 463746: a circle is inscribed in a square and there's another small circle at the down part of the circle in the right side, how to get the area of the small square and circumference?
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