Questions on Word Problems: Geometry answered by real tutors!

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Question 1164683: Find the function value.

Find f(2) when f(x) = 2x^2 - 5x + 7.

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Question 1164681: Find an equation of the line containing the given pair of points.
(5,-1) and (2,8)

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Question 1164726: the length of a rectangle is 3 more than the width. If the area of the rectangle is 10 square centimeters, find the dimensions of the rectangle
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Question 1164726: the length of a rectangle is 3 more than the width. If the area of the rectangle is 10 square centimeters, find the dimensions of the rectangle
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Question 1164732: Find the function value.
Find f(2) when f(x) = 2x^2 - 5x + 7.

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Question 1164791: Angles A and B are complementary angles. Determine the measures of angles A and B if angle A is 8 times the size of angle B.
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Question 1164975: the multiples of 3 and 7 are removed from the series 1+2+3...+150. the resulting sum is
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Question 1164975: the multiples of 3 and 7 are removed from the series 1+2+3...+150. the resulting sum is
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Question 1165012: 1. A sign board is in the shape of an isosceles triangle. The third side measures 3 feet less than twice the length of each side. Find the length of the sides of the sign board if the perimeter is 61 feet
2. If one half of the complement of an angle plus three-fourths of the supplement of the angle equals 110 degrees find the measure of the angle.

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Question 1165038: The length of a rectangle is
5
times the width. If the perimeter is to be greater than or equal to
24
meters. What are the possible values for the width? (Use
w
as the width)

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Question 1165139: According to the Bureau of Labor Statistics, the median weekly salary for an individual with a bachelor’s degree is $1026 per week. This represents an increase of 35% over the salary of an individual with an associate’s degree. What is the median weekly salary of an individual with an associate’s degree?
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Question 1165183: The perimeter of a square must be greater than 162 inches but less than 172 inches. Find the range of possible side lengths that satisfy these conditions. (Hint: The perimeter of a square is given by P=4s, where s represents the length of a side).
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Question 1165186: 1.VIOS is a trapezoid with median line AC.
a. If VA= 5, find VI.
b. if IO= 10 and VS= 15, Find AC.
c. If AC= 20, IO= x+3, VS= 3x+5, Find IO.
pls answer it with solution and if u dont mind giving an explanation thankss :)

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Question 1165206: 16/4 < y+5/2 < 25/4

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Question 1165275: A vertical wall was built around a rectangular court to a certain height. The width of the adjacent side was 5 m. less than 6 times the height of the wall and the length of one side of the court was 2 m. less than 8 times the height of the wall. The floor area of the court was greater than the area of the inside face of the wall by 178m.
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Question 1165281: A vertical wall was built around a rectangular court to a certain height. The width of the adjacent side was 5 m. less than 6 times the height of the wall and the length of one side of the court was 2 m. less than 8 times the height of the wall. The floor area of the court was greater than the area of the inside face of the wall by 178m.
a.) Determine the length of the rectangular court.
b.) Determine the width of the rectangular court.
c.) Determine the number of gallons needed to paint the inside portion of the wall only. Use 4 coatings and assume one gallon has a spreading capacity of 400 sq.ft of wall.

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Question 1165291: an arc of a circle of radius 7cm subtend on angle of 120 degree at the centre, find its perimeter
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Question 1165287: Please Help me to solve this word problem
A vertical wall was built around a rectangular court to a certain height. The width of the adjacent side was 5 m. less than 6 times the height of the wall and the length of one side of the court was 2 m. less than 8 times the height of the wall. The floor area of the court was greater than the area of the inside face of the wall by 178m.
a.) Determine the length of the rectangular court.
b.) Determine the width of the rectangular court.
c. Determine the number of gallons needed to paint the inside portion of the wall only. Use 4 coatings and assume one gallon has a spreading capacity of 400 sq.ft of wall.
Thank you in advance

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Question 1165297: The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 384 feet, find the width and the length.

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Question 1165377: A spice shop makes 16 pounds of cinnamon by combining Indonesian cinnamon which cost $19/lb with size cinnamon which costs $11/lb, how many pounds of each type of cinnamon were used?
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Question 1165892: Herman is traveling 125 miles from his house to the beach by car. Herman plans to
stop for lunch when the ratio of the distance he has traveled to the distance he still has to
travel is 2:3. What distance will Herman have traveled when he stops for lunch?

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Question 1165892: Herman is traveling 125 miles from his house to the beach by car. Herman plans to
stop for lunch when the ratio of the distance he has traveled to the distance he still has to
travel is 2:3. What distance will Herman have traveled when he stops for lunch?

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Question 1165922: the lenght of enriques backyard is twice the width increased by 2 if the perimeter of a his backyard is 28 what is the width of enriques backyard?
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Question 1166110: The interiors of all the unit squares of a 10 by 10 board are to be painted. Any two squares that have a side in common will be painted with a different colour of paint. What is the least number of colours that will be needed?
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Question 1166158: A livestock pen is built in the shape of a rectangle that is
2 times as long as it is wide. The perimeter is 54 feet. If the material used to build the pen is $1.25 per foot for the longer sides and
$2.25 per foot for the shorter sides (the shorter sides have gates, which increase the cost per foot), find the cost to build the pen.

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Question 1166159: A livestock pen is built in the shape of a rectangle that is
3
times as long as it is wide. The perimeter is
40
feet. If the material used to build the pen is
$
1.50
per foot for the longer sides and
$
2.50
per foot for the shorter sides (the shorter sides have gates, which increase the cost per foot), find the cost to build the pen

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Question 1166232: let R1 and R2 be the remainders when the polynomials f(x)=4x1+3x2-12ax-5 and g(x)=2x3+ax2-6x+2 are divided by (x-1)and(x-2)respectively. If 3R2+R2+28=O,find the value of a














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Question 1166279: the lenght of the triangle is 3 less than twice the width. if the area is 9 aquare ft, the lenght and width of the rectangle
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Question 1166281: Alex has 20 m of barbed wire to fence a rectangular lot. What are the dimensions of the lot that will contain the maximum area?
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Question 1166340: All paints with watercolors on a sheet of paper 26 inches wide by 18 inches high. He then places
this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The
perimeter of the mat is 104 inches. How wide is the strip of the mat showing around the picture?

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Question 1166438: A transmitting tower is supported by a wire that makes an angle of 56 degree with the ground. What is the angle between the tower and the​ wire?

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Question 1166548: A picture that measures 4 inches by 5 inches is placed in a frame of uniform width. If the area of the frame and picture together is 110 square inches what is the width of the frame?
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Question 1166547: A frame that measures 12 inches by 9 inches is of uniform width. The area of the picture inside is 18 square inches. What is the width of the frame?
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Question 1166546: A picture that measures 7 inches by 5 inches is placed in a frame of uniform width. If the area of the frame and picture together is 195 square inches what is the width of the frame?
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Question 1166546: A picture that measures 7 inches by 5 inches is placed in a frame of uniform width. If the area of the frame and picture together is 195 square inches what is the width of the frame?
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Question 1166545: A man mows his 25 foot by 200 foot rectangular lawn in a spiral pattern starting from the outside edge. After a bit of hard work he stops for a water break he is 82% done. How wide of a strip has he mowed around the outside edge?
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Question 1166545: A man mows his 25 foot by 200 foot rectangular lawn in a spiral pattern starting from the outside edge. After a bit of hard work he stops for a water break he is 82% done. How wide of a strip has he mowed around the outside edge?
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Question 1166543: A farmer has a 100foot by 25 foot rectangular field that he wants to reduce to 16% of its original size. How wide of a strip should he cut around the edge of his field to do this?
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Question 1166543: A farmer has a 100foot by 25 foot rectangular field that he wants to reduce to 16% of its original size. How wide of a strip should he cut around the edge of his field to do this?
Click here to see answer by ikleyn(52778) About Me 
Question 1166543: A farmer has a 100foot by 25 foot rectangular field that he wants to reduce to 16% of its original size. How wide of a strip should he cut around the edge of his field to do this?
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Question 1166715: Two rectangles have the same area of 24cm^2. The second rectangle is 4cm shorter and 1cm wider than the first. What is the length and the breadth of the first rectangle?

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Question 1166715: Two rectangles have the same area of 24cm^2. The second rectangle is 4cm shorter and 1cm wider than the first. What is the length and the breadth of the first rectangle?

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Question 1166732: a veterinarian uses 240 feet of chain-link fence to enclose a rectangular region and to subdivide the region into tw0 smaller rectangular regions by placing a fence parallel tp one of the sides

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Question 1166781: The length of a rectangle is 2cm longer than twice its width. If the perimeter of the
rectangle is 34 cm, find its dimensions. (note: P = 2L + 2 W )

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Question 1167078: A school garden covers 100 square meters of the total land area of the campus. The principal wants to enlarge the garden by increasing the width by 2 meters and the length by 6 meters, therefore it's area is increased by 92 square meters. Find the new dimensions of the school garden.
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