Questions on Word Problems: Geometry answered by real tutors!

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Question 27687: A carpenter used 26 ft of molding in three pieces to trim a garage door. If the long piece was 5 ft longer than twice the length of each shorter piece, what is the length of the longest piece?

Click here to see answer by sdmmadam@yahoo.com(530)

Question 27870: Can someone please simplfy these 2 equations for me.
dy/dx = (cosx(3+cos2x)+(-2sin2x)(sinx))/(3+cos2x)^2
and
75/(x+12) + 9/x = 3.
Thank you.
Click here to see answer by venugopalramana(3286)

Question 27844: A machine produces chains that are 500 links in length. The chains are made of black and white links and are randomly put together by the machine. If a chain is going to contain 405 black links, can we be certain that the chain will contain 5 consecutive black links?
Click here to see answer by venugopalramana(3286)

Question 27845: show that x^2y+y^2z+z^2x>=3xyz for positive real numbers x,y, and z.
Click here to see answer by venugopalramana(3286)

Question 27846: If x, y, and z are reall numbers, use the Cauchy-Schwarz inequality to show that (x+y+z)^2/3<=x^2+y^2+z^2.
Click here to see answer by venugopalramana(3286)

Question 27847: Show that (3x+2y+z)^2<= 3(9x^2+4y^2+z^2) where x, y, and z are real numbers
Click here to see answer by venugopalramana(3286)

Question 28023: On the xy-coordinate plane, points A and B both lie on the circumference of a circle whose center is O, and the length of AB equals the circle's diameter. If the (x,y) coordinates of O are (2,1) and the (x,y) coordinates of B are (4,6), what are the (x,y) coordinates of A?
Click here to see answer by venugopalramana(3286)

Question 28072: the first side of a tringle is 8cm shorter than the second side,the third side is 4 times as long as the first side. the perimiter is 26cm. find the lenght of the sides.
Click here to see answer by Paul(988)

Question 28303: What are the measures of two complementary angles if the differences in the measures of two angles is 12

Click here to see answer by longjonsilver(2297)

Question 28401: Two adjacent sides of a rectangle have the ratio of 3:4. If the longer side is increased by 6, and the shorter side is decreased by 2, the area of the rectangle increases by 38. How long are the sides of the original rectangle?

Click here to see answer by sdmmadam@yahoo.com(530)

Question 28447: A 21' by 21' square swimming pool is surrounded by a path of uniform width. if the area of the path is 184 sq. ft. find the width of the path.
Click here to see answer by wuwei96815(245)

Question 24286: find the area of a fenced yard with a length of 6 yards and width of 5 yards.
(30)
Click here to see answer by hayley(1)

Question 28542: A square fountain has an area of 16 square feet. A flower garden is planted around the fountain. If the garden extends 8 feet beyond the fountain, what is the area of the garden.
Click here to see answer by stanbon(57377)

Question 28455: In the figure ABCD is a rectangle with AB=12cm and BC=7 cm. Inside ABCD there is another tilted rectangle KLMN. where AK= BL= CM= DN= x cm. If the area of KLMN is 54 cm2 find x.
Click here to see answer by venugopalramana(3286)

Question 28688: For what values of n does the product (1*3)(3*5)(5*7)(7*9)...((2n-1)(2n+1)) equal a perfect square? List out the first 5 values of n that will result in a perfect square and include a formula in terms of n.
Click here to see answer by venugopalramana(3286)

Question 28685: conjecturea formula for 1*2+2*3+3*4+...+n(n+1).
Click here to see answer by venugopalramana(3286)

Question 28680: Consider the sum 1^3+2^3+3^3+...+n^3 and the sum 1+2+3+...+n. Conjecture a formula that relates these two sums.
Click here to see answer by venugopalramana(3286)

Question 28681: Conjecture a formula for the following sum 1(1!)+2(2!)+3(3!)+...+n(n!).
Click here to see answer by venugopalramana(3286)

Question 28683: conjecture a formula for the following product
the product of the nth number when (1-(4/(2i-1)^2))= (1-(4/(1)^2))(1-(4/(3)^2))(1-(4/(5)^2))...(1-(4/(2n-1)^2)),when i=1.
Click here to see answer by venugopalramana(3286)

Question 28682: conjecture a formula for the following product
the product of the nth number when (1-(4/(2i-1)^2))= (1-(4/(1)^2))(1-(4/(3)^2))(1-(4/(5)^2))...(1-(4/(2n-1)^2)).
Click here to see answer by venugopalramana(3286)

Question 28725: The hypotense of a right triangle is 26 feet long. One leg of the triangle is 14 feet longer than the other leg. Find the lenghts of the legs of the triangle.
Click here to see answer by Paul(988)

Question 28977: The length of a rectangle is 9 meters more than twice the width. If the area of the rectangle is 95 square meters, find the length.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28995: If i have a retangle with 20 in diagonal with 30 degree on on sid what is the lenght and width of that retangle?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29268: The pilot of a small plane finds that when the airspeed is 160 km/h and the heading is 295 degrees, the ground speed is 152 km/h and the course is 302 degrees. Find the speed and direction of the wind.
Click here to see answer by Paul(988)

Question 29319: a class of 25 students is arranged in 5 rows and 5 columns. If a student can move to a dest directly in front, behind, or to the left or right of their own desk, is it possiblefor all the students to change desks at once and occupy a new desk?
Click here to see answer by bmauger(101)

Question 29318: Suppose a country has only two denominations of conins: 5 cent conins and 7 cent coins. Determine all monetary values that can be obtained using only coins.
Click here to see answer by bmauger(101)

Question 29130: 8 ft in diameter x 13 ft in depth, how many gallons will it hold?
Click here to see answer by elima(1433)

Question 29415: show that 3 is a factor of n^3+2n for all positive integers n.
Click here to see answer by venugopalramana(3286)

Question 29414: show that if n is an integer greater than 3, n!>2^n.
Click here to see answer by venugopalramana(3286)

Question 29552: Hi, I have a word problem that i cant figure out...You are standing 16 feet from the base of a flag pole. Both your shadow and the poles shadow extend to the same point 4 feet away from you. You are 5 feet tall. Find the height of the flag pole.

I would appreciate any help you can give me...thank you Nick
Click here to see answer by longjonsilver(2297)

Question 29693: the question is:
i have an isoceles triangle, the perimeter is 200, side ac is twice side ab. find the length of each side.
this is what i have i just dont know if i am going the right direction.
p=a+b+c
p=200
c=2a
b=a
200=a+a+2a
200=4a
50=a
50=b
100=c
is this correct?
Click here to see answer by josmiceli(9687)

Question 29786: Geoff has $5000 to invest. He wants to earn $568 in interest in one year. He will invest part of the money at 12% and the other part at 10%. How will he invest to earn $568?
Click here to see answer by ikdeep(226)

Question 29639: I have a hard time with word problems and would appreciate some help.
A homeowner wants to enclose a rectangular garden using 32 ft. of fence. The side of the house will be used as one side of the rectangular garden.
A: What is the maximum area that the homeowner can enclose with 32 feet of fence?
B: What should the dimensions of the garden be in order to yield this area?
Draw a picture.
area of a rectangle is area= length x width.
Click here to see answer by Yoan(9)

Question 29803: A garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224m^2, find the lenght of the other base.
Click here to see answer by venugopalramana(3286)

Question 29804: D=C-s/n(for s) Depreciation
Click here to see answer by stanbon(57377)

Question 28927: How do you figure out the surface area of a pyramid? If the base of the pyramid is 9 on one side and 5 on the other, how would I do that? Would I do the the area of the base times the height(24) divided by two??? I am confused!
Click here to see answer by ikdeep(226)

Question 28724: The width of a rectangle is 3 inches less than it's length. The area of the rectangle is 340 square inches. What are the lenght and width of the rectangle?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29982: I really need help with this problem. I know it will be a system of equtions but I don't know what those equations would be! Here it is:
A right triangle has a perimeter of 40 units and one leg has a length of 8 units. What are the lengths of the other legs?
Click here to see answer by Fermat(127)

Question 30394: Divyia has several books in her library 1/4 of her books are poetry books, of those remaining 1/2 are fiction, of the rest 2/3 are reference books the last 5 are math books. How many books those Diviya have in her library?
Click here to see answer by checkley71(8403)

Question 30440: An isosceles triangle has a perimeter of 8 cm. Find a function that models its area A in terms of the length of its base b.
Click here to see answer by longjonsilver(2297)

Question 30466: Show that (1/((1)^(1/2))) + (1/((2)^(1/2)))+(1/((3)^(1/2)))+....+(1/((n)^(1/2)))<2(n)^(1/2) for all positive integers.
Click here to see answer by khwang(438)

Question 30526: In a rectangle, the perimeter is 82 inches. The length of the rectangle is 8 inches more than twice the width. What is the length and width of the rectangle?
Click here to see answer by checkley71(8403)

Question 28726: The length of a rectangle is 2 meters more than it's width. The area of the rectangle is 80 square meters. What is the length and width of the rectangle?
Click here to see answer by checkley71(8403)

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