Questions on Word Problems: Geometry answered by real tutors!

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Question 105886: Find the slope of any line perpendicular to the line through points (0,5) and (-3, -4)
Click here to see answer by ankor@dixie-net.com(6693)

Question 106088: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Click here to see answer by stanbon(26296)

Question 106084: Floor plans for a building have the four corners of a room located at the points (2,3), (11,6), (-3,18), and (8,21). Determine whether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18).
Click here to see answer by MathLover1(1183)

Question 106075: Write the equation of the line L which has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1
Click here to see answer by elima(1433)

Question 106271: The length of a rectangle is ( 3x + 4 ) feet and the width is ( 2x - 6 ) feet. Find the area of the rectangle in terms of the variable x.
Click here to see answer by Fombitz(2113)

Question 106272: Five times the sum of the first and third of three consecutive even integers is ten more than the product of nine and the second integer. Find the third integer [i.e. the largest of the three].
Click here to see answer by stanbon(26296)

Question 106083: Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by ankor@dixie-net.com(6693)

Question 106215: 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. If the foof is 7m 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.
I have a migraine from this one...thanks!
Click here to see answer by scott8148(3385)

Question 106304: A 25 foot ladder is leaned against a wall so that the ladder reaches a height of 7 feet on the wall. How far from the wall will the other end of the ladder be?
Click here to see answer by Fombitz(2113)

Question 106305: An object is shot upward from a height of 80 feet with an initial velocity of 64 feet per second. Its height (h) above the ground in feet after t seconds is given by the formula
h = - 16t2 + 64t + 80. At what times will the object be 128 feet above the ground?

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

Question 106303: The lengths of the sides of a non-right triangle are 17 inches, 9 inches, and 12 inches. Find the area of the triangle. Round to the nearest tenth.
Click here to see answer by scott8148(3385)

Question 106435: I want to build a dome with a cir. of 60' and the top cut off to provide a 3' dia. hole (cir.=9.24') in the top. I would like to know the circumference of 7 additional rings besides the 2 mentioned of 60' and 9.24'. Each positioned equadistance up the outside of the sphere. The idea to build a geodesic dome with triangular suports between each outside ring.
Click here to see answer by Fombitz(2113)

Question 106510: Im suppose to show how
a-b/a+b = c-d/c+d
is proportional to
a/b=c/d
Click here to see answer by edjones(3298)

Question 105895: Write the equation of the line L if L has y-intercept (0,-3) and is parallel to the line with the equation y=2/3x+1.
Click here to see answer by ashlyn.xo(7)

Question 106902: I was wondering if you could help me with this question! I dont even know where to start! Thank you!
It is estimated that the average diameter of peeled logs coming into your sawmill is 14 inches.
a) What is the thickness of the largest square timber that can be cut from the average log?
b)If the rest of the log is made into mulch, what percent of the original log is the square timber?
Click here to see answer by Fombitz(2113)

Question 106957: The lengths of the sides of a non-right triangle are 17 inches, 9 inches, and 12 inches. Find the area of the triangle. Round to the nearest tenth.
Click here to see answer by checkley75(3666)

Question 107121: The box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting process. How much cardboard do you need?

Click here to see answer by MathLover1(1183)

Question 106906: Please help!
Two designs for and oil storage tank are being considered: spherical and cylindrical. The two tanks would have the same capacity and would each have an inside diameter of 60 feet.
a)what would be the height of the cylindrical tank?
b) If one cubic foot holds 7.5 gallons of oil, what is the capacity of each tank in gallons?
c)Which of the two designs has the smallest surface area and would thus require less material in its construction?
Click here to see answer by ankor@dixie-net.com(6693)

Question 107162This question is from textbook Elemetary Algebra
: The length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters longer than the perimeter of the square, find the length of a radius of the cicle. (use 3.14 as an approximation for pi)
I know the answer is 7 centimeters but I would like to know how to set it up and solve it.
Thank youThis question is from textbook Elemetary Algebra

Click here to see answer by scott8148(3385)

Question 107164This question is from textbook Elemetary Algebra
: The length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters longer than the perimeter of the square, find the length of a radius of the cicle. (use 3.14 as an approximation for pi)
I know the answer is 7 centimeters but I would like to know how to set it up and solve it.
Thank youThis question is from textbook Elemetary Algebra

Click here to see answer by scott8148(3385)

Question 107112This question is from textbook Beginning Algebra
: The Length of a rectangular label is three times its width. If the length is decreased by 1 while the width stayed the same, the area of the new label would be 44 square centimeters. Find the original length and the width of the label.This question is from textbook Beginning Algebra

Click here to see answer by ptaylor(1578)

Question 107374: Patrick drove 3 hours to attend a meeting. On the return trip his spped was 10 miles per hour and the trip took 4 hours. What was his speed each way?
Click here to see answer by solver91311(5072)

Question 107377: A bus leaves a station at 1 pm traveling west at an average rate of 44 miles per hour. One hour later a second bus leaves the same station, traveling east at an rate of 48 miles per hour. At what time will the two buses be 274 miles apart?
Click here to see answer by ankor@dixie-net.com(6693)

Question 107401: If the sides of a square are decreased by 2 cm, the area is decreased by
36 cm2. What were the dimensions of the original square?
Click here to see answer by checkley75(3666)

Question 107404: If the sides of a square are decreased by 2 cm, the area is decreased by
36 cm2. What were the dimensions of the original square?
Click here to see answer by checkley75(3666)

Question 107404: If the sides of a square are decreased by 2 cm, the area is decreased by
36 cm2. What were the dimensions of the original square?
Click here to see answer by josmiceli(3012)

Question 107378: Martina leaves home at 9am bicycling at a rate of 24 miles per hour, 2 hours later John leaves driving at the rate of 48 miles per hour. At what time will john catch up with Martina?
Click here to see answer by ankor@dixie-net.com(6693)

Question 107514: Which of the following staements is false?
[a] The sides and angle of a poly gon are coplanar.
[b] In polygon DEFGH, G is a vertex
[c] If the vertex angles of an isosceles triangle meausre 100, then each of the base angles measures 80.
[d] An equilateral is a regular polygon.
Click here to see answer by stanbon(26296)

Question 107589: here is my problem: the density of salt is 2.16g/cm^3 an empty cupboard salt canister weighs 28g, is 13.6 cm tall and has a 4cm radius. how much will a filled canister weigh? i have the answer in the back of my textbook but i would like to know what steps that i need to take to get an answer.
thank you

Click here to see answer by checkley71(8405)

Question 107721: Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 12 feet more than 3 times the width. He needs 80 feet of fencing to do this job. Find the length and width of the garden.
Click here to see answer by killahzsmilez(5)

Question 107727: The length of a rectangle is 1 cm more than 4 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle?
Click here to see answer by stanbon(26296)

Question 107675: Two angles are supplementary and the measure of one of them is 20% less than three times the measure of the other. Find the measure of each angle.
Click here to see answer by checkley71(8405)

Question 107746: If the length of a rectangular parking lot is 10 meters less than twice its width, and the perimeter is 400 meters, find the length of the parking lot.
Click here to see answer by ptaylor(1578)

Question 107893: A post is 9 ft. from one wall of a room and 40 ft. from the wall at right angle to it. How many ft. is it from the the intersection of the two walls?
Click here to see answer by stanbon(26296)

Question 107891: the surface area of a cube is 96 square cm. How many cubic cm are there in the volume of the cubes?

Click here to see answer by scott8148(3385)

Question 107892: A rectangular box with a square base contains 8 cubic feet. if the height is 6 inches, how many feet are there in each side of the base?
Click here to see answer by ankor@dixie-net.com(6693)

Question 108300: Find the area of a triangle whose altitude is 7 feet and whose base is 22 feet
Click here to see answer by bucky(1732)

Question 108309: 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.

Click here to see answer by HyperBrain(694)

Question 108292This question is from textbook pre-algebra
: The perimeter of the square is equal to the perimeter of the triangle. The sides of the triangle are equal in length.
a)Estimate without calulations, estimate which fiqure has the greater side length. Explain choice.
b) What is the side lenght of each fiqure?
c) What is the perimeter of each fiqure?
One side of square is 3x, another side is 2x+3
One side of triangle is 5x-3
page 135 in text book
I said the square for a.
for b) I had 3=x
and for c) trangle perimeter is36 units and the square perimeter is 36 units.This question is from textbook pre-algebra

Click here to see answer by edjones(3298)

Question 108306: The length of a rectangle is 2 cm more than twice its width.
If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.

Click here to see answer by checkley71(8405)

Question 108524: The perimeter of a rectangle is 78 meters. The length of the rectangle is 11 meters longer than triple the width. Find the dimensions of the rectangle
Click here to see answer by Fombitz(2113)

Question 108566: If the sides of a square are increased by 3 in., the area is increased by
39 in.2. What were the dimensions of the original square?
Click here to see answer by ankor@dixie-net.com(6693)

Question 108531This question is from textbook College Algebra
: A rectangle is 5 times as long as it is wide. If the area is 125 square feet, find its perimeter.This question is from textbook College Algebra

Click here to see answer by Fombitz(2113)

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