Questions on Word Problems: Geometry answered by real tutors!

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Question 165522: Please tell me how to do this problem (step-x-step). I just don't get these and I really want to understand what I'm doing. The instructor also gave a way to use the TI-83 for solving but I couldn't follow him.
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 126 cubic inches, find the dimensions of the box.
Thanks for taking the time to help me.
Click here to see answer by gonzo(654)

Question 165519: A tank contains 50 gallons of a 40% solution of anti-freeze. How much solution needs to be drained out and replaced with pure anti-freeze to obtain a 50% solution?
Click here to see answer by Mathtut(3670)

Question 165568: one leg of a right triangle is 14 inches longer than the smaller leg, and the hypotenuse is 16 inch longer than the smaller leg. find the lengths of the sides of the triangle
Click here to see answer by josmiceli(19441)

Question 165571: represent each given condition using a single variable, x.
the base and height of a triangle whose height is five less than four times its base.

Click here to see answer by jojo14344(1513)

Question 165645: The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know the formula for finding volume for a sphere - but I don't know how to use it without any additional information. Thanks for your help in this.
Click here to see answer by Alan3354(69443)

Question 165520: How can $5400 be invested, part of it at 8% and the rest of it invested at 10%, so that the two investments will produce the same amount of interst?
Click here to see answer by checkley77(12844)

Question 165518: We have 20% alcohol solution and a 50% solution. How many pints must be used from each to obtain 8 pints of a 30% solution?
Click here to see answer by checkley77(12844)

Question 165516: Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hours faster than the other car. Find the speed their speeds if after 5 hours they are 520 miles apart.
Click here to see answer by checkley77(12844)

Question 165513: Find the area of a cement walk 3 feet wide that surronds a rectangular plot of ground 86 feet long and 42 feet wide
Click here to see answer by checkley77(12844)

Question 165662: the width of a rectangle is 3 feet less than its length. if the perimeter is 22 feet, what are both its length and width?
Click here to see answer by Mathtut(3670)

Question 165662: the width of a rectangle is 3 feet less than its length. if the perimeter is 22 feet, what are both its length and width?
Click here to see answer by midwood_trail(310)

Question 165644: The problem is - a rectangle has an area of 16ft^2. Every dimension is multiplied by a scale factor, and the new rectangle has an area of 64ft^2. What was the scale factor? The answer is to be formatted as "k = " I have no idea how to go about doing this problem. Can you help me, please?
Click here to see answer by gonzo(654)

Question 165761: julie measures the width of her classroom as 290 inches. what is the width of the classroom in feet and inches.
Click here to see answer by jojo14344(1513)

Question 165764: a carpet layer wishes to determine the cost of carpeting a rectangular room whose perimeter is 52 feet. Suppose that the length of the room is 4 feet more than its width. Find
(a) the length and width of the room
(b) the cost of the carpet if it costs $18.95 per square yard
Need help setting up this problem
Click here to see answer by Mathtut(3670)

Question 166102: A collection of triangles and pentagons contains 40 shapes having a total of 138 sides. How many pentagons are there?
Click here to see answer by stanbon(75887)

Question 166041: The hypontenuse of a right triangle is 13ft. The longer leg is two more than twice the length of the shorter leg. Find the length of each leg.
Click here to see answer by Mathtut(3670)

Question 166039: The area of a triangle is 56ft^2. If the base is 9 ft more than the altitude, find the length of the base and the altitude.
Click here to see answer by orca(409)

Question 166264: Will you help me with this problem:
A square and a rectangle have the same perimeter. The lenghth of the rectangle is 4cm less than twice the side of the square,and the width of the rectangle is 6cm less than the side of the square. Find the perimeter of each figure.
Click here to see answer by scott8148(6628)

Question 166560: Hey, I just need help with two word problems.
1st one: A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse is 60 m longer than the length of the longer leg. How long is the longer leg??
2nd one: A rectangular piece of cardboard measuring 28 inches by 29 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.
Thank u
Click here to see answer by nerdybill(7384)

Question 166842: John owns a hotdog stand. He has found that his profit is represented by the equation P(x)= -x^2+62x+79, with P being profits and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit?
Click here to see answer by Fombitz(32388)

Question 167152: A flat panel monitor are such that its length is 3 in. more than its width. If length were doubled and if the width were decreased by 1 in., the area would be increased by 150 in.2(squared). What are the length and width of flat panel monitor?
Click here to see answer by nerdybill(7384)

Question 167332: A plane is flying at an elevation of 24000 feet.
It is within sight of the airport and the pilot finds that the angle of depression to the airport is 25 degrees
Find the distance between the plane and the airport.
Find the distance between a point on the ground directly below the plane and the airport
Click here to see answer by Mathtut(3670)

Question 167365: American flag has a perimeter of 28 feet. Find the dimensions of the flag if the length is 4 feet less than twice it's width
Click here to see answer by Mathtut(3670)

Question 167365: American flag has a perimeter of 28 feet. Find the dimensions of the flag if the length is 4 feet less than twice it's width
Click here to see answer by aswathytony(47)

Question 167456: TEWNTY NINE IS THE SHORTEST LEG OF A RIGHT ANGLED TRIANGLE THE HYPOTENUS AND OTHER LEG ARE TWO CONSECUTIVE WHOLE NUMBERS. WHAT ARE THE LENGHTS OF THE LEG AND HYPOTENUS
Click here to see answer by Mathtut(3670)

Question 167459: Each of the three dimensions of a cube with sides of length s centimeters is decreased by a wholw number of centimeters. The new volume in cubic centimeters is given by
V(s)=s^3 -13s^2+54s-72
A) Find V(10)
B.) If thenew width is s-6 centimeters, then what are the new length and height?
C.) Find the volume when s = 10 by multiplying the lenght,width and height

Answer for C- please inform if incorrect
V(10) =10^3-13(10)^2+54(10)-72
10v=1000-13(10)^2+54(10)-72
1000-1300
-300+540-72
V=168
Click here to see answer by oscargut(2103)

Question 167832: This word problem involves quadratic equations which I am having a very difficult understanding. The width of a rectangle is 4 ft less than the length. The area is 12ft^2. Find the length and width. I start out translating the equation like this:
A=LW
L=length
4-L=width
12ft^2=L(4-L) then I get lost from that point.

Click here to see answer by nerdybill(7384)

Question 167979: A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.
Click here to see answer by checkley77(12844)

Question 168074: The altitude of a triangle exceeds the base by four inches. In the area of the triangle is 30 square inches, the base and altitiude of the triangle are ____ and ____ respectively.
Click here to see answer by jojo14344(1513)

Question 168503: The largest angle in a triangle is twice the degree measure of the second largest angle. One-third of the largest angle is 10 degrees larger than the difference of the other two.. Whaat is the measure in degreesof the smallest angle?
Click here to see answer by gonzo(654)

Question 169117: I am trying to find the area of a triangle. I looked on the Internet for the formula for finding area but I couldn't understand it. Please help. The problem is: Find the exact area of a triangle with a base of square root 30 meters and a height of square root 6 meters.
Click here to see answer by Alan3354(69443)

Question 169153: Can you tell me what the perimeter of a rectangular backyard is that is
6x + 6 yards. If the width is x yards, can you please find a bionomial that
represents the length. Thanks!
Click here to see answer by mangopeeler07(462)

Question 169292: Please help with these two word problems. I just found out from the team leader that she did not post all of our assignments and these two are due tonight from me. I would greatly appreciate your help.
#94. Golden painting. An artist wants her painting to be in the
shape of a golden rectangle. If the length of the painting is
36 inches, then what should be the width? See the previous
exercise ***This is the previous exercise:Golden Rectangle. One principle used by the ancient Greeks to get shapes that are pleasing to the eye in art
and architecture was the Golden Rectangle. If a square
is removed from one end of a Golden Rectangle, as shown
in the figure, the sides of the remaining rectangle are
proportional to the original rectangle. So the length
and width of the original rectangle satisfy L/W=W/L-W.I hope this is understandable.
#84. Gone fishing. Debbie traveled by boat 5 miles upstream to
fish in her favorite spot. Because of the 4-mph current, it
took her 20 minutes longer to get there than to return. How
fast will her boat go in still water?
Click here to see answer by scott8148(6628)

Question 169636: An apple orchard contains 84 trees. The number of trees per row is five more than the number of rows. Find the number of rows.
Click here to see answer by Mathtut(3670)

Question 170621: If a regular Hexogram (6 sides) has a overall diameter of 10', what would each of the 6 sides measure?
Click here to see answer by stanbon(75887)

Question 170587: what is the answer to the problem 2x+2
Click here to see answer by Alan3354(69443)

Question 170636: Originally the dimensions of a rectangle were 20 cm by 23 cm. When both dimensions were decreased by the same amount, the area of the rectangle decreased by 120 cm^2. Find the dimensions of the new rectangle.
Click here to see answer by checkley77(12844)

Question 170649: How many five letter words can be made from the alphabet if repetition is allowed?
Click here to see answer by stanbon(75887)

Question 170703: The length of a rectangular tennis court is five feet more than twice the width. The perimeter is 82 feet. Write an equation, and solve the equation to find the width.
Click here to see answer by jojo14344(1513)

Question 170734: The length of a rectangle is 25 more inches more than its width. If a 2 inch square is cut from each corner and the sides are folded up, the resulting open box has a volume of 372 cubic inches. Find the width of the original rectangle.
Click here to see answer by checkley77(12844)

Question 170758: The longer leg of a right triangle is 4 cm more than four times the length of the shorter leg. The hypotenuse is 1 cm longer than the longer leg. How long are the sides of the triangle?
Click here to see answer by nerdybill(7384)

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