Questions on Word Problems: Geometry answered by real tutors!

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Question 31232: In a triangle, the second angle is twice the first and the third angle is 20 drgees less than the first. Find the measure of all three angles.
Thank You!
Click here to see answer by venugopalramana(3286)

Question 31258: A rectangle has an area of 900 square inches. The length of the rectangle is 2.25 times its width. Find the dimensions of the rectangle.
Click here to see answer by troyapplehelen(46)

Question 31263: A jeweler has three small solid spheres made of gold, of radius 2mm, 3mm, and 4mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
Thank you so very much!
Click here to see answer by mbarugel(146)

Question 31264: Two television monitors sitting beside each other on a shelf in an appliance store have the same screen height. One has a conventional screen, which is 5 in wider than it is high. The other has a wider,high-definition screen, which is 2.4 times as wide as it is high. The diagonal measure of the wider screen is 14 in more than the diagonal measure of the smaller. What are the heights of the screens?(Assume that the height is greater than 10 in.)
Thank you so very much!
Click here to see answer by josmiceli(19441)

Question 31380: In a right triangle, one of the acute angles is 2 times as large as the other acute angle. Find the measure of the two acute angles.

Click here to see answer by Paul(988)

Question 31379: In a right triangle, one of the acute angles is 2 times as large as the other acute angle. Find the measure of the two acute angles.
Click here to see answer by josmiceli(19441)

Question 31441: The length of a rectangular garden is 8 ft less than 2 times its width. If the perimeter of the garden is 44 ft, find the dimensions of the garden.

Click here to see answer by Paul(988)

Question 31467: box is 9"lenght 3"width and 10" height
You would like to fill on 1/5 of the box below with clothes. How many "cubic inches" of clothes will fit? Hint: answer is not 9x3x10=270in cubed.

Click here to see answer by checkley71(8403)

Question 31586: Can I please get some help with this question?
Time on a treadmill. After 2 minutes on a treadmill Jenny has a heart rate of 82. After 3 mins she has a heart rate of 86. Assume that there is a linear equation that gives her heart rate h in terms of time on the tread mill t. Find the equation and use it to predict her heart rate after 10 mins on the treadmill.
Click here to see answer by venugopalramana(3286)

Question 31593: Can I please get some help with this question?
Interest Rate. A credit manager rates each applicant for a car loan on a scale of 1 through 5 and then determines the interst rate from the accompanying table. Find the equation of the line in slope intercept form that goes through these points.
Credit Rating 1 2 3 4 5
Interest 24 20 16 12 8
Rate%
Click here to see answer by venugopalramana(3286)

Question 31432: Assume that a and b are different zeros of p(x)= x^3+kx-1. Show that ab is a zero of q(x)=x^3-kx-1 where k is any real number.
Click here to see answer by venugopalramana(3286)

Question 31430: If (r+ (1/r))^2=5, then find the value of r^3 + 1/r^3.
Click here to see answer by venugopalramana(3286)

Question 31433: Suppose there are N marbles in a bowl. Al, Bo, and Coy will take turns (Al will go 1st) removing marbles from the bowl, and the person to remove the last marble in the bowl loses. Each person is allowed to remove 1 or 2 marbles on his turn. For what values of N can Bo and Coy work together and force Al to lose.
Click here to see answer by venugopalramana(3286)

Question 31689: Suppose a and b are rational numbers. If the solutions to ax^2+2bx-a=0 are not rational, then show that the solutions to bx^2+2ax-b=0 are not rational.
Click here to see answer by venugopalramana(3286)

Question 31947: (Urgent Help Needed I will really appriciate it...
Basal Energy requirements. The basal eanergy requirement B is the number of calories that a person needs to maintain the life process. For a 28 yr old female with height of 160 centimeters and weight 45 kilograms, B is 1300 calories. If her weight increases to 50kg then B is 1365 calories. There is a linear equation that express B in terms of weight w . Find the equation and find the basal energy requirements if her weight is 53.2kg
Click here to see answer by stanbon(75887)

Question 29470: If Eratosthehne were alive in the U.S. today, he could repeat his calculation of the circumference of Earth. Wichita, Kansas, is 345 miles due north of Fort Worth, Texas. At a given moment, the sun is 5 degrees lower in the sky in Wichita than Fort Wroth. From this information, what estimate would Eratosthenes obtain for the Earth's circumference?
Click here to see answer by stanbon(75887)

Question 32196: The section that I am on in my class is over contradiction. The equation is Show that neither x=1 or x=-1 can be solutions to the equation ax^2+bx+a=0 where a and b are integers with b odd.
Click here to see answer by mbarugel(146)

Question 32466: This section is dealing with contradictions.
Show that the product of a non-zero rational number and an irrational number is an irrational number.
Click here to see answer by ikdeep(226)

Question 32861: The lenghth of a rectanguler room is 5 feet more than 3 times the width.Find the dimensions if the perimeter is 62 feet?
Click here to see answer by sarah_adam(201)

Question 32862: The length of a rectangular room is 5 feet more than 3 times the width.Find the dimensions if the perimeter is 62 feet.
Click here to see answer by stanbon(75887)

Question 32997: if the length of a rectangle is 2 km longer then twice the width, then what is the length if the area is 60 sqare kilometer
Click here to see answer by Paul(988)

Question 33038: Can you please solve this for me? I have to solve this using factoring:
The sum of the squares of two consecutive negative even integers is 340. Find the integers.

Click here to see answer by xcentaur(357)

Question 33040: Can you please solve this for me?: I have to solve this using factoring.
Originally a rectangle was twice as long as it was wide. When 4m were added to its length and 3m subtracted from its width, the resulting rectangle had an area of 600m2(squared). Find the dimensions of the new rectangle.
Click here to see answer by stanbon(75887)

Question 33199: Mark put $2748.00 in his savings account. The bank he uses calculated his interest using a simple interest formula. Mark left the money in the bank for 2 years. At the end of the 2 years, he had $2967.84 in his savings account. What was the interest rate the bank used?
Click here to see answer by sarah_adam(201)

Question 33203: Tiara is driving from her house to her grandmother's house that is 178 miles away. She is driving at rate of 65 miles per hour. If she wants to know how long the trip will take she should.....
Click here to see answer by mukhopadhyay(490)

Question 33204: Marshall has 36 feet of fencing to use to build a pen. He plans to use the barn for on side of the pen. What is the largest area he can create for the pen using the 36 feet of fencing and the side of the barn?
Click here to see answer by longjonsilver(2297)

Question 33263: A fourth-grade class decides to enclose a rectangular garden, using the side of the school as one side of the rectangle. What is the maximum area that the class can enclose with 32 ft of fence? What should the dimensions of the garden be in order to yield this area?
Click here to see answer by mukhopadhyay(490)

Question 33414: The perimeter of a rectangle window is 32 ft. Find the dimension of the window that will enclose the largest area.
Click here to see answer by Paul(988)

Question 33499: Here's my question:
Which is the better buy: a grapefruit 5 m in radius that costs 22 cents or a grapefruit 6 cm in radius that costs 31 cents?
I'm not even sure how to start this one! Help!!
Click here to see answer by stanbon(75887)

Question 33494: Hi. Here is a problem I am having trouble with:
Two cubes have sides of lengths 4 cm and 6 cm, respectively. What is the ratio of their volume?
Thanks for your help!
Click here to see answer by mszlmb(115)

Question 33496: Can you help me with this?
Earth's diameter is approximately four times the moon's and both bodies are spheres. What is the ratio of their volumes?

Thanks!!
Click here to see answer by longjonsilver(2297)

Question 33495: How would I solve this?:
The Great Pyramid of Cheops has a square base of 756 ft on a side and a height of 481 ft. How many apartments 35 ft x 20 ft x 8 ft would be needed to have a volume equivalent to that of the Great Pyramids?
Thanks!
Click here to see answer by mbarugel(146)

Question 33814: The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angle A is five more than twice the measure of angle B. Angle C is five less than three times the measure of angle B.
I tried: 2b+5=A 3B{c-5}
No luck
Click here to see answer by venugopalramana(3286)

Question 33937: Your are flying a kite at the end of 200 ft of string. The angle of elevation is 30 degrees. You are holding he end of the string at eye level, 5ft above the ground. How high is the kite from the ground? Draw a diagram. Show how to use a variable. Then find how high the kite is. I homeschool my kids and we are having a tough time with this one.
Click here to see answer by stanbon(75887)

Question 34303: Write and equation and solve the following problem.
The area or a rectangle is 130 square feet. Find the dimensions of the rectangle if the length is 3 feet greater than the width.
I know A=LW so: 130 = L+3 = w
Did I get the formula correct
Click here to see answer by venugopalramana(3286)

Question 34502: find the side of a square given a perimeter of
a.18 b201/2ft
Click here to see answer by Prithwis(166)

Question 34867: What is the circumference of a circle if the radius is 64pi?
Click here to see answer by usyim88hk(158)

Question 34877: 1. Find the radius of a circle with circumference of 20pi.
2.Find the radius of a circle with the circumference of 64pi
3.If the area of a circle is 9pi, find the radius.
4.If the area of a circle is 64 pi, find the circumference.

help much appreciated.
Click here to see answer by stanbon(75887)

Question 29469: Slicing a grapefruit with a knife is a model for a plane intersecting a solid sphere. Describe the possible plane sections.
Click here to see answer by stanbon(75887)

Question 29469: Slicing a grapefruit with a knife is a model for a plane intersecting a solid sphere. Describe the possible plane sections.
Click here to see answer by Prithwis(166)

Question 35164: Hi,
I could use some help with this.
Lisa is flying her kite with 62 feet of string attached to the ground. She measures 5feet of string from the ground to a point 4 feet high. How high is her kite?
Click here to see answer by hydromojo(20)

Question 35224: Could someone explain this to me? thanks so much!
A building casts a 52-foot shadow at the same time taylor casts a 4-foot shadow. Taylor and her shadow form a triangle that is similiar to the triangle formed by the building and it's shadow. If Taylor is 5 feet tall, what is the height h of the building?
Click here to see answer by venugopalramana(3286)

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