Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 209367: Three times the number of reds is one less than twice the number of blues. If the sum of the reds and the blues is 13, how many are red and how many are blue?
Click here to see answer by Earlsdon(6294)

Question 209366: The complement of angle A is 20 degrees less than half the supplement of triangle A. Find the measure of angle A
Click here to see answer by stanbon(75887)

Question 209381: The perimeter of a rectangle is 106 meters. The length is five meters more than twice its width. Find the length and width of the rectangle.
Click here to see answer by rfer(16322)

Question 208528: a rectangular light-switch plate is made according to the following dimensions. The length is 8 inches and the width is 6 inches a rectangular hole measuring 1 inch by 3 inches is left in the center how many square inches in area is the light-switch plate if the cost to construct the plate is $3.50 per square inch what is the construction cost?
Click here to see answer by Earlsdon(6294)

Question 209969: The perimeter of a triangle is 17. One side is 1 inch shorter than the longest and 1 inch longer than the shortest. What are the dimensions?
Click here to see answer by stanbon(75887)

Question 209998: 4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall (see figure). How long should the pieces of PVC plumbing pipe be?

Click here to see answer by checkley77(12844)

Question 210095: The angle of elevation of a hot air balloon, climbing vertically, changes from 25 degrees at 10:00 am to 60 degrees at 10:02 am. The point of observation of the angle of elevation is situated 300 meters away from the take off point. What is the upward speed, assumed constant, of the balloon? Give the answer in meters per second and round to two decimal places.
So, far I have done:
I have drawn the right triangle, and I know that the initial angles is 25 degrees, but how does 60 degrees factor into this problem? It's a right triangle, but 90 + 25 + 60 does not = 180. What is the next step here?

Click here to see answer by Earlsdon(6294)

Question 209904: Hi this is Domonique again. Thank you for your help last time. I am having a problem with the same question. I had to take a object and get its volume and surface area. I chose a mini Kit Kat bar. The lenght is 8cm, width is 1cm, and height is 3cm. The volume I got was 24, the surface area was 70. I am puzzled now. I have to enlarge this object surface area and volume by a 1:6 ratio. I am very lost. I really tried and don't understand how to do this.Please help me. And what do I write behind each one. Is it cubic meter or square feet.
Thank you in advance.
Click here to see answer by ankor@dixie-net.com(22740)

Question 210274: 12 = -r - 11 is?
Click here to see answer by stanbon(75887)

Question 210395: Introductory Algebra ISBN 0321279212 Chapter 6.7
Solve this application. Quadratic Equations.
One side of a rectangular patio is 3 meters longer than the other. If the area of the patio is 108 square meters, what are the dimensions of the patio?
Click here to see answer by tutor_paul(519)

Question 210414: what is the step by step solution to "A poster is 25 cm taller than it is wide. It is mounted on a piece of particle board so that there is a 5 cm border on all sides. If the area of the border alone is 1350 cm squared, what are the dimensions of the poster?"
Click here to see answer by josmiceli(19441)

Question 210338: in triangle XYZ,the length of side XY is twice the length of side XZ and three less than the length of side YZ.if the perimeter of the triangle is 33,what is the length of its sides?
Click here to see answer by ankor@dixie-net.com(22740)

Question 210346: A square is altered so that one dimension is increased by 4, while the other dimension is decreased by 2. The area of the resulting rectangle is 55. Find the area of the original square.
Click here to see answer by ankor@dixie-net.com(22740)

Question 210462: 1. a rope 17 m long is attached to the top of a flagpole. The rope is just able to reach a point on the ground 8 m from the base of the pole. Find the height of the flagpole.
2.a vertical pole 3 m long casts a shadow 1 m long at the same time a building casts a shadow 12 m long. How tall is the building?
3.from the top of a 20 m lighthouse, the angle of depression of the nearest point on the beach is 8 degrees. Find the distance from the bottom of the lighthouse to the beach.
4. the diagonal of a square measures 9 radical 2 meters. Find the length of a side of the square.
Click here to see answer by Earlsdon(6294)

Question 208130: Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is acceleration to a speed of 444 m/s in 1.8 seconds, then what is the acceleration and what is the distance which the sled travels?
Click here to see answer by Alan3354(69443)

Question 210674: What is the maximum area for a rectangle whose perimeter is 136 cm?
Click here to see answer by rfer(16322)

Question 210902: Solve 8x^2y+3y=2x for y as a function of x (express in calculator syntax form)
Click here to see answer by nerdybill(7384)

Question 210907: If P(x)=3x^3+2x^2+x+20 and we write P(x) in the form P(x)=A+B(x-1)+C(x-1) (x-2)+D(x-1)(x-2)(x-3) A=? and B=?
Click here to see answer by Edwin McCravy(20055)

Question 211316: If the complement of an angle is 5 degrees less than one-sixth of its supplement, find the measure of the angle.
Click here to see answer by stanbon(75887)

Question 211275: The length of a rectangle garden is 6 feet longer than its width.if the area is 55 sq.ft.find the length and width. Quadratic equation
Click here to see answer by checkley77(12844)

Question 211385: A farmer wants in enclose a rectangular plot of land with an area of 600 sq.ft. that borders on a river. The length of the plot needs to be 15 feet shorter than three times the width. If you do not fence the side along the river, find the amount of fencing that is needed - to the nearest tenth of a oot. Quadratic equation
Click here to see answer by ankor@dixie-net.com(22740)

Question 211581: A banner in the shape of an isosceles triangle has a base that is 2 inches shorter than either of the equal sides. If the perimeter of the banner is 43 inches, then what is the length of the equal sides?
Thx
Click here to see answer by jim_thompson5910(35256)

Question 211583: The width of a rectangle is four feet less than the length. The perimeter is 16 ft. Find the width.
Thx
Click here to see answer by rfer(16322)

Question 211644: HELP! I'm racking my brains with this one.
A jar contains 4 yellow marbes, 12 green marbles, and 11 black marbles. If one marbe is selected at random, what is the probability tht it is not yellow?
Click here to see answer by Alan3354(69443)

Question 211655: I'm stuck on this one does anyone have the solution
Two balls are to be selected without replacement from a bag containing on red, one blue, one green, and one yellow ball. How many points are there in the sample space?
Click here to see answer by stanbon(75887)

Question 211658: Help this is very challenging for me.
A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of three colors, red, white, and blue, and with a choice of three seats, soft, medium, and hard.
a) Use the counting principle to determine the number of different arrangements
of bicycles that are possible.
b) Construct a tree diagram illustrating all the different arrangements of
bicycles that are possible.
c) List the sample space.
Click here to see answer by stanbon(75887)

Question 211662: Now this is really a challenging question and I am lost.
At an annual flower show, 7 different entries are to be arranged in a row.

a) how many different arrangements of the entries are possible?
b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Click here to see answer by stanbon(75887)

Question 211663: This is my last question need the solution stuck on it.
How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview?
Click here to see answer by stanbon(75887)

Question 211664: this is my last question can someone show me the solution
A man has 7 pairs of pants, 9 shirts, and 4 ties. How many different outfits cna he wear?
Click here to see answer by rfer(16322)

Question 211645: Can someone help me with this solution for this.
One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is a jack.
Click here to see answer by checkley77(12844)

Question 211643: Please someone help with this question I am losing the battle here.
If you roll a die many times, what would you expect to be the relative frequency of rolling a number less tht 5?
A) 2 out of 3, B) 1 out of 3, C) 1 out of 6, D) 1 out of 2, E) 5 out of 6
Click here to see answer by checkley77(12844)

Question 211661: can somebody help with this solution
A license plate is to consist of three letters followed by two digits. How many different license plates are possible if the first letter must be a vowel (a,e,i,o,u), and repetition of letters is not permitted, but repetition of digits is permitted?
Click here to see answer by Edwin McCravy(20055)

Question 211636: the length of a picture frame is 3 inches greater than the width. The perimeter is less than 52 inches. Describe the dimensions of the frame
Click here to see answer by checkley77(12844)

Question 211653: HELP! losing my mind over this one.
500 tickets for prizes are sold for $2 each. Five prizes will be awarded- one for $300, one for $200, and three for $50. Steven purchases one of the tickets.
a) Find the expected value
b) Find the fair price of the ticket.
Click here to see answer by Edwin McCravy(20055)

Question 211682: a preson standing close to the edge on the top of a building throws a baseball vertically upward. the equation describeshte ball's heigthabove the ground after t seconds. h=-16t^2+64t+160 a) how many seconds does it take until the ball finally hits the ground? round to tenths. b.) find t=0 and describe what this means.
Click here to see answer by stanbon(75887)

Question 211672: A vacant rectanglar lot is been turned into a community vegetable garden measuring 15m.by 12m. with a path of uniform width surrounding the garden. if the area of the lot is 378sq.m. find the width of the path surrounding the garden. quadratic equation
Click here to see answer by scott8148(6628)

Question 212146: i need to find the distance between the points (-1,5) and (-6,-4).

Click here to see answer by drj(1380)

Question 212150: the length of a rectangular swimming pool is 12 ft less than its length. If the perimeter of the pool is 96 ft, what are the dimensions of the pool?
Click here to see answer by checkley77(12844)

Question 212354: the complement of an angle is one-third the size of the supplement of the same angle. Find the measure of the angle?
Click here to see answer by HyperBrain(694)

Question 212342: the measure of an angle is 5 less than 4 times the measure of its supplement.
find the measures of both angles?
Click here to see answer by HyperBrain(694)

Question 212340: the measure of an angle is one-third the measure of its supplement. find the measure of the angle?
Click here to see answer by drj(1380)

Question 212404: If a diagonal of a square is 18 cm, how long is a side?

Click here to see answer by Theo(13342)

Question 212455: A triangle has a perimeter of 3075 miles. The shortest sides measures 75 miles less than the middle, and the longest side measures 375 miles more than the middle side. Algebraically, find the length of the three sides.
Click here to see answer by drj(1380)

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