Questions on Word Problems: Geometry answered by real tutors!

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Question 222418: The length, width, and height of a rectangular solid are in ratio of 4:3:2. If the volume of the box is 648, what is the total surface area of the box?
Click here to see answer by rfer(16322)

Question 222417: A solid metal cube of side 6 inches is placed in a rectangular tank whose length, width, and height are 1, 2, and 3 feet. What is the volume, in cubic units, of water that the tank can now hold?
Click here to see answer by jim_thompson5910(35256)

Question 222404: two planes leave an airport at the same time and fly in opposite directions. one of the planes is flying at 450 mph, and the other is flying 550 mph. in how many hours will they be 2,000 miles apart?
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Question 222514: how soon after six o'clock will the hands of a clock be together?
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Question 222828: The perimeter of a triangle is 51 cm. The lengths of its sides are consecutive odd integers. Find the lengths of all 3 sides.
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Question 222838: The measure of angle XYZ is 46 degrees more than the measure of its supplement. Find measure of angle XYZ.
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Question 222925: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 76 degrees. Find the measures of the angles?
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Question 222978: what is the width of the rectangle of an area of 136 and 8 ft?
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Question 223079: a rectangles has a length of 17 inches more than three times its height. if the perimeter of a rectangle is 458 inches find its dimensions?
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Question 223161: Jennifer ivested three times as much in an account that pays 5% simple interest as she did in an account that pays 2%. If her total annual interest is $35.70, how much did she invest in each account?
Click here to see answer by checkley77(12844)

Question 223177: Two jet leave Atlanta in opposite directions at th same time. The speed of the jet headed east is two times of the jet headed west. In three ours they are 1089 miles apart. Find the speed of each jet.
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Question 223203: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet. Find the length of the ladder if the length is 5 feet more than its distance from the wall.
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Question 222764: Hi, I was wondering if someone could help me with this problem.
A right circular cone of height 10m and base radius 5m has density given by p(x) = 100(20 - x) kg/m^3, where x is the perpendicular distance from the base. Find the total mass M of the cone.
Thanks, Judy
Click here to see answer by ankor@dixie-net.com(22740)

Question 223253: If a wheel travels 1 mile in 1 minute, at a rate of 600 revolutions per minute, what is the diameter of the wheel, in feet?
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Question 223400: the length of a rectangle is 6m more than the width. The perimeter of the rectangle is 20m. find the length and width
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Question 223396: if a patio is in the shape of a rectangel. the width is 10feet and the perimeter is 50 feet what is the length
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Question 223406: 3 less than twice the width and perimeter is 30cm

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Question 223573: the perimeter of a rectangular field is 1,200 feet and the field is 50 feet longer than it is wide. what is the length, i feet, of the field?
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Question 223575: the sum of a non zero number and its square is equal to three times the number. what is the number?
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Question 223576: f(x)=1-x+x^3, then f(-1)=
Click here to see answer by tutor_paul(519)

Question 223645: A log 78 feet long is cut into three pieces of varying lengths. The longest piece is to be four times the length of the shortest piece, and the middle sized piece is to be 6 feet less than twice the length of the shortest piece. How long is the longest piece?
Click here to see answer by stanbon(75887)

Question 223655: a rectangle carpet has a perimeter of 236 inches. The length of the carpet is 22 inches more than the width. what are the carpets dimensions...?
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Question 223710: what is the length of a rectangle is twice its width if the width is increased by one meter and the length is diminished by three meters the area will be 12 square meters
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Question 223774: The perimeter of a rectangle is 60cm. If the length is decreased by 5 and the width is halved, the perimeter will decrease by 20cm. What are the length and width of the original rectangle?
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Question 223879: The perimeter of a rectangle is 100. The length of the rectangle is less than two times the width. What are the dimensions ( Length and Width ) of the rectangle?
please and thank you for your time. Also, if it's possible to show all work - I'd really appreciate it !
Click here to see answer by checkley77(12844)

Question 224003: turn into the variable the length of a rectangle is twice its width if the width is increased by one meter and the length is diminished by three meters the area will be 12 square meters
Click here to see answer by drj(1380)

Question 224144: The length of a rectangle is twice its breadth. If its perimeter is 54 cm, find its length
Click here to see answer by checkley77(12844)

Question 224222: The perimeter of a rectangular garden is 98 feet. The length of the garden is 4 feet more than twice the width. What is the length of the garden?
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Question 224258: What are the dimensions of a right angle that is similar to the 3-4-5 rightangled triangle and that has an area four times as large?
a. 4-5-7
b. 4-12-13
c. 6-8-10
d. 9-12-15
e. 12-16-20
Click here to see answer by rfer(16322)

Question 224437: a field has an area of 5000 square yards. if its width is 50 yards, what is its length?

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Question 223663: speed of light is 3.00X10^8m/sec, how long does it take to travel 2.29x10^11m, the distance from the sun to mars...?
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Question 224568: The area of a triangle is 42cm squared. If one base is 12cm, what is the height relative to that base?
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Question 224703: The length of a board is 7 times the width.What is the width if the area is 45 meters squared
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Question 224727: Here is a word problem I am not sure how to solve:
A vertical pole is to be supported by three wires. Each wire is 13 yards long and is anchored 5 yards from the base of the pole. How far up the poles will the wires be attached?
Here is how I have tried approaching it:
I drew a vertical line and then 3 more lines to form a square. after this I drew a diagonal line cutting through the square. Am I going in the right direction? What to do I have to do to finish the problem and get the answer? Thank you!
Click here to see answer by Alan3354(69443)

Question 225160: 10. Angles A and B are supplementary angles and angle A is 2⁰ more than 4 times angle B. Find the measures of angle A and angle B.
Click here to see answer by drj(1380)

Question 225198: a 100-foot cable is cut into two pieces. the first piece is 18 ft longer than the second. how long is each piece?
Click here to see answer by LtAurora(115)

Question 225159: 7.One angle of a triangle is 20⁰ larger than the smallest angle, and the third angle is 6 times as large as the smallest angle. Find the measures of the three angles
Click here to see answer by ankor@dixie-net.com(22740)

Question 225802: There are three different sized pizza's. The small is 10 inches in diameter and sells for $10.99, the medium is 12 inches in diameter and sells for $12.75 and the large is 16 inches in diameter and sells for $15.25. Which pizza is the better deal?
Click here to see answer by solver91311(24713)

Question 225801: angle 1 = x angle 2 = 2x-13 How do you solve for x? Thank you for your time.
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Question 225796: angle R = 1/3x+5 angle k = 1/2x how do you solve for x?
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Question 226058: The area of a square is equal to the perimeter of an equilateral triangle. If the triangle has legs of length 12, what is the length of one side of the square?

Click here to see answer by rfer(16322)

Question 226243: the width of a rectangle is fixed at 16yd. For what lengths will the area be at least 264yds square?
Click here to see answer by LtAurora(115)

Question 226384: The area of a circle 8 inches in diameter is greater than the combined areas of a circle 6 inches in diameter and a circle 2 inches in diameter by approximately how many square inches?

Click here to see answer by Theo(13342)

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