Questions on Word Problems: Geometry answered by real tutors!

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Tutors Answer Your Questions about Geometry Word Problems (FREE)


Question 78032: The base of an isosceles triangle is 14 in. less than the length of the equal sides. If the perimeter of the triangle is 43 in., find the length of each of the sides.
Hint: An isosceles triangle has 2 sides of equal length. The third side is different.
Hint: To find the perimeter of a triangle, add all 3 sides.
Hint: Be sure to check your answer. Do all three sides add up?
Answer: The length of the three sides of the triangle are ________ inches, ________ inches, and __________ inches.

Show work:

Click here to see answer by ptaylor(1578) About Me 

Question 78060: A number is increased by 25% and the resulting number is then decreased by 20%. the final number is what percent of the original number?
-I used 100 as my original number, and when i increased it by 25% i got 125. when i proceeded to decrease that by 20% i got 105. that would put the final number being over 100% of the original number, but my answer key says 100% is the answer.

Click here to see answer by bucky(1732) About Me 

Question 78089: Sam must have an average of 70 or more in his summer course obtain a grade of C. His first three grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
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Question 78314: One number is 3 less than another. If 10 times the smaller number minus 4 times the larger number is 24, find the two numbers.
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Question 78314: One number is 3 less than another. If 10 times the smaller number minus 4 times the larger number is 24, find the two numbers.
Click here to see answer by checkley75(3666) About Me 

Question 78311: The length of a rectangular garden is 8 ft less than 4 times its width. If the perimeter of the garden is 52 ft, find the dimensions of the garden.
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Question 78310: Tickets for a play at the community theater cost $16 for an adult and $2 for a child. If 210 ticktets were sold and the total receipts were $2380, how many of each type of ticket were sold?
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Question 78324: two-fifths x = -10
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Question 78321: Tickets for a play at the community theater cost $16 for an adult and $2 for a child. If 210 tickets were sold and the receipts were $2380, how many of each type of ticket were sold?
Click here to see answer by rmromero(383) About Me 

Question 78337: Hi.. need some help with this word problem that is part of a math chapter on Applications of the Pythagorean Theorem... thanks!
A homeowner wishes to insulate her attic with fiberglass insulation to conserve energy. The insulation comes in 40-cm wide rolls that are cut to fit between the rafters in the attic. The roof is 6 m from peak to eave and the attic space is 2 m high at the peak.
For the home described in this example, if the roof is 7 m from peak to eave and the attic space is 3 m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 78364: Solve each of the following applications. Give all answers to the nearest thousandth. Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?

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Question 78365: Please help I do not know where to start or finish.
Business and Finance. The demand equation for a certain type of printer is given by:
D = -200p + 35,000
The supply equation is predicted to be:
S = -p^2 + 400p – 20,000
Find the equilibrium price.

Click here to see answer by dolly(163) About Me 

Question 78439: In the "firrst quater of the year" means Januryary,Febrruary, and March. The "second quater" is April,May,and June.


Achme Reaaltors sold 23 houses during the first quater of the year and again duyring the last quater. Sales during the middle quater was not quite as good, so that tht the annual sales was 57 houses. b &B realty compaly sold 50 homes during the second quater and hald that many during the forth quater, for a total annual sales of 75 homes. Arco sold as many houes during the thurd quater as B&B sold during the entire year, but during the other three quaters they did no better then b&b during the first quater. Toget the tgree cinoabues sikd 79 giyses during the third quater.
How many houses did the three companies sell during the second quater?

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Question 78507: If the sides of a square are decreased by 2 cm., the area is decreased by 36 cm^2. What were the dimensions of the original square?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 78768: CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.

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Question 78784: the cost for long-distance telephone call is $0.36 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.
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Question 78937: I need your help on this problem. a tree 40 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun
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Question 79666: The length of a rectangle exceeds twice its width by 3inches. If the area is 10 square inches, find the rectangle's dimensions. Round to the nearest tenth of an inch.
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Question 79813: find the slope of the lines graphed
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Question 79832This question is from textbook
: The second angle of a triangle is three times the first, and the third is 5 degrees more than the first. Find the measures of the angles.
I have no idea where to start.Thanks soo much!
This question is from textbook

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Question 79829: A ball is thrown upward from the roof of a building 100 m tall with an initial velocity of 20 m/s. When will the ball reach a height of 80 m?
Click here to see answer by ankor@dixie-net.com(6693) About Me 
Question 79829: A ball is thrown upward from the roof of a building 100 m tall with an initial velocity of 20 m/s. When will the ball reach a height of 80 m?
Click here to see answer by Earlsdon(4900) About Me 

Question 79952: (2x-7)(5x^2-6x+3)
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Question 80182: Find the length of a chord that is 8 inches from the center of a circle with a radius of 17 inches.
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Question 80190: Alexis draws 300 circles with diameter 1, Brianna draws 400 squares with side length 1, and Cyril draws 500 equilateral triangles with side length 1. If they all draw with the same type of pen, who uses the most ink?
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Question 80300: The circumference of a circle is 20Pi. What is the area of the circle? Leave your answer in terms of Pi
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Question 80300: The circumference of a circle is 20Pi. What is the area of the circle? Leave your answer in terms of Pi
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Question 80304: The area of a circle is 64Pi. The area of a square is 256. Which is larger? the diameter of the circle or the side of the square?
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Question 80407: 1. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimension of the rectangle?
2. The equation h=-16+112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a a height of 120 ft.
3. A ball is throw upward from th roof of a building 100 m tall with an inital velocity of 20 m/s. When will the ball reach a height of 80 m?
4. The demand equation for a certain type of printer is given by
D=-200p=35,000
The supply equation is predicted to be
S=-p^2+400p-20,000
Find the equilbrium price.

Click here to see answer by stanbon(26297) About Me 

Question 80461: 87+92+K(all divided by 3)=91 Thanks
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Question 80793: f(x)= x2 - 7x + 10; find (a) f (0), (b) f (5), and (c) f (-2)
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Question 80800: 4. If the ladder is 15 feet long and the height of the building is 12 feet the how far from the building should the ladder be so that the top of ladder touches the top of the building.
Click here to see answer by stanbon(26297) About Me 

Question 80865: Hi, I'd greatly appreciate help with this word problem: The length of a rectangle is 4 cm more than 2 times its width. If the area of the rectangle is 90 cm^2, find the dimensions of the rectangle to the nearest thousandth.
Click here to see answer by praseenakos@yahoo.com(417) About Me 

Question 81026: A bacterial culture grows according to the formula P=Poa^t. If it takes 5 days for the culture to triple in size, how long did it take to double?
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Question 81113: A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
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Question 81288: A rectangular solid has a base with length 8 cm and width 3 cm. If the volume of the solid is 216 cm^3, find the height of the solid.
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Question 81286: The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Find the maximum width of the rectangle.
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Question 81512: A small firm produces both AM and AM/FM car radios. The AM radios take 15 h
to produce, and the AM/FM radios take 20 h. The number of production hours is
limited to 300 h per week. The plant’s capacity is limited to a total of 18 radios per
week, and existing orders require that at least 4 AM radios and at least 3 AM/FM
radios be produced per week. Write a system of inequalities representing this situation.
Then, draw a graph of the feasible region given these conditions, in which x
is the number of AM radios and y the number of AM/FM radios.

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Question 81495: Solve each of the following systems by substitution.
5x - 2y = -5
y - 5x = 3

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Question 81502: In a town election, the winning candidate had 220 more votes
than the loser. If 810 votes were cast in all, how many votes did each candidate
receive?

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Question 81484: solve each of the following systems by graphing. 2x - y = 4 and 2x - y = 6 (This is all one problem and on one graph).

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Question 81496: Solve each of the following systems by substitution.
8x - 4y = 16
y = 2x - 4

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Question 81485: find values for m and b in the following system so that the solution to the system is (-3,4).
5x + 7y = b
mx + y = 22

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Question 81925: solve the system by graphing.
x - 2y = 8 and x + y = -1

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Question 81923: solve the system by addition. x+y=3 and x-y=1
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