Questions on Word Problems: Geometry answered by real tutors!

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Question 289410: what is the radius of a circle with 76iameters?

Click here to see answer by Alan3354(31538)

Question 289534: What are two consecutive even integers such as six times the first equals five times the second?
Click here to see answer by Earlsdon(6294)

Question 289507: The shape of a supporting arch can be modeled by h(x) = -0.03x^2 + 3x,where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of the arch in meters. Find the maximum height of the arch.
Click here to see answer by Earlsdon(6294)

Question 289656: The length of a rectangle is 4 units less than twice the width. If the length is decreased by 3 units and the width is increased by 1 unit, the area is decreased by 16 square units. If w is the original width, which equation must be true?
A. (2w-3)(w-3)=w(2w-4)-16
B. 2(2w-3)+2(w-3)=2w+2(2w-4)-16
C. (2w-7)(w+1)=w(2w-4)-16
D. 2(2w-7)+2(w+1)=2w+(2w-4)-16
Click here to see answer by richwmiller(9144)

Question 290412: The pilot of an airplane flies at a constant speed of 200 km/h at a bearing of S 40° E. There is a 42 km/h crosswind blowing E 20° N. What are the plane’s actual speed and direction? Please show all appropriate steps and diagrams. Watch out for the quadrant you are in so you have the right signs.
Click here to see answer by stanbon(57984)

Question 290446: Ebenezer wants to paint his house. He places a 60 cm. ladder against his house. The base of teh ladder is 11 cm. from the house. How high on the house does the ladder reach? i also need to draw a picture of the house and the ladder on a 45 cm. paper?
Click here to see answer by richwmiller(9144)

Question 290626: the perimeter of a rectangle is 128 metres. the length is 4 metres more than twice the width. find the dimensions
Click here to see answer by user_dude2008(1861)

Question 290664: Compute the dimensions of a rectangular flower garden with a perimeter of 250m and with length that exceeds three times its width by 5. pls help. :(
Click here to see answer by blwinbbbles(106)

Question 290654: A yardstick measures 0.5 by 2 by 36 inches. How many yardsticks will fit in a box 2.5 inches wide and 36 inches high, if the length of the box is 28 inches?
Click here to see answer by Deina(147)

Question 290835: I'm trying to figure out the rough cu ft of a boulder to figure out the weight to figure out how to move it. How many cubic feet in a ball 3ft tall by 3ft wide?
Click here to see answer by richwmiller(9144)

Question 291025: The side of a square is 5 cm. shorter than the side of an equilateral triangle. The perimeter of the square is 7 cm. less than the perimeter of the triangle. Find the lengths of a side of the square and of a side of the triangle.
Click here to see answer by Greenfinch(383)

Question 291021: The perimeter of a triangle is 81 cm. The smallest side is 7cm.shorter than the medium side. The medium side is 4 cm.shorter than the longest side. Find the lengths of the three sides.
Click here to see answer by Greenfinch(383)

Question 291117: Hello,
How would I solve the following problem:
Find a counterexample to the statement: The square of a number added to the sum of three times the number and 7 is a prime number.Justify your solution by supporting it with step by step work

This is the answer I came up with not sure it right
If the number is n, then you mean the statement:
n^2 + 3n + 7 is prime
Let n = 3k where k is an integer, i.e. n is a multiple of 3.
Then the expression becomes
49k^2 + 21k + 3
= 3(7k^2 + 3k + 1)
I am not sure this is right but I did try please let me know thank you so much for your help.

Click here to see answer by Alan3354(31538)

Question 291247: A rectangular garden is 14 ft. by 21 ft. and is bordered by a concrete walk 3 ft. wide as shown. How many square feet are in the surface area of just the concrete walk?
Click here to see answer by checkley77(12569)

Question 291323: Using the Pythagorean Theoreum if necessary The area of a rectangular floor is 105 square feet. Its length is 1 foot more than twice the widith. Find the length and the widith of the floor.
Click here to see answer by checkley77(12569)

Question 291413: Radious of a circle: If the radius of a certain circle is tripled, with 8.2 then added, the result is the circumference of the circle. Find the radius of the circle. (use 3.14 as an approximation for pi)
Click here to see answer by edjones(7569)

Question 291598: Find the area of the pentagon ABCDE with vertices A = (1, 2), B = (0, 0),
C = (1, 4), D = (1, 5) and E = (0, 5).

Click here to see answer by Alan3354(31538)

Question 287332: what is the smallest number of acute angles in any triangle? Explain.
Click here to see answer by Deina(147)

Question 291783: The length of one leg of a right triangle is 2 cm less than three times the length of other leg. The area of the triangle is 48 cm^2. Find the length of each leg. Please show work! thank u
Click here to see answer by eggsarecool(46)

Question 291812: the perimeter of an equilateral triangle is 156 feet. find the length of each side.
Click here to see answer by checkley77(12569)

Question 291944: State park in colorado has a perimeter of 92 miles. The park is in the shape of a retangle. The length of the park is 30 miless than tripple the width of the park. Find the length and width of the park.
Click here to see answer by rfer(12731)

Question 292004:
Click here to see answer by drakio(1)

Question 292069: a stone walk 2 ft wide surrounds a rectangular garden which is 4 ft by 8 ft what is the area of the walk
Click here to see answer by richwmiller(9144)

Question 292544: if the median to the hypotenuse of a right triangle measures 25 and a leg 14, find the measure of the other leg
Click here to see answer by Fombitz(13828)

Question 292544: if the median to the hypotenuse of a right triangle measures 25 and a leg 14, find the measure of the other leg
Click here to see answer by Edwin McCravy(8999)

Question 292634: A shopkeeper is making a triangular sign for his store front, but he must keep the sign under 20 square feet to adhere to zoning laws. If the base of the sign is 20 feet, what is the maximum height of the triangular sign? Use
A = bh.
Click here to see answer by checkley77(12569)

Question 292632: A square plywood platform has a perimeter which is 9 times the length of a side, decreased by 15. Find the length of a side. Use the formula P = 4s.
Click here to see answer by checkley77(12569)

Question 292714: Suppose a space shuttle is orbiting about 180 miles above Earth. What is the distance from the shuttle to the horizon? The radius of Earth is about 4000 miles. Round the answer to the nearest tenth.
Click here to see answer by dabanfield(803)

Question 292833: Find the lenght of the missing side of the right triangle. Round to three decimal places, if necessary.
a=7, c=24
Click here to see answer by lmc22391(7)

Question 292833: Find the lenght of the missing side of the right triangle. Round to three decimal places, if necessary.
a=7, c=24
Click here to see answer by nerdybill(7011)

Question 292806: Girl has garden in shape of pentagon. Each side is 7ft. long. she puts a fence around the perimeter. The fencing is sold in boxes of 5 pieces that are 18 in. How many boxes are needed?
Click here to see answer by Deina(147)

Question 293162: The length of a diagonal of a square is 4√2 centimeters. What is the area of the square?
(1) 32 square centimeters (2) 16 square centimeters (3) 8 centimeters (4) 64 square centimeters

Click here to see answer by richwmiller(9144)

Question 293182: A ship sails 14 km due east, 5 km due north, 10 km due west and 8 km due south.
how far will the ship be from its original starting point ?
Click here to see answer by richwmiller(9144)

Question 293180: A dog runs along a path near a square garden with side length 10 m.it runs once around always staying exactly 1 m. from the edge of the garden.to the nearest meter,how far does the dog run ?
Click here to see answer by checkley77(12569)

Question 293198: A circle of radius 2 rolls completely around the inside perimeter of a square of side 10. what distance is covered by the centre of the circle ?
a 16 b 24 c 32 d 40
Click here to see answer by josmiceli(9819)

Question 293223: The perimeter of a rectangle is 60 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 144 square feet.
Click here to see answer by josmiceli(9819)

Question 293261: a rectangle is 4 inches wide by 7 inches long. when the length and width are increased by the same amount, the area is increased by 26 square inches. what are the dimensions of the new rectangle
Click here to see answer by checkley77(12569)

Question 293254: the perimeter of a rectangle is 56m, the length is 10m more than twice the width, find the dimension

Click here to see answer by checkley77(12569)

Question 293791: The boy scout is reeling in his toy boat. When he has reeled in one foot of fishing line, how far has the boat moved toward the boy: more than one foot, less than one foot, or exactly one foot?
Click here to see answer by richwmiller(9144)

Question 294097: The front wheels of a wagon measure 3.5 feet in diameter. The rear wheel measures 4.25 feet in diameter. When the wagon is stopped, a chalk fmark is made on both a front and a rear wheel. How far must the wagon travel before both chalk marks return to their initial position at the same time?
Click here to see answer by stanbon(57984)

Question 294089: a piece of tin in the shape of a rectangle 24 inches by 45 inches is to be made into a box without a top by cutting a square from each corner and folding up the flaps to form the sides. What size corners should be cut in order to make the voulume of the box as large as possible?
ive gotten the derivative yet i cant solve it for zero:
V'(x)=1080-84x+12x^2 - did i do my original equation wrong? i used V(x)= (45-2x)(24-2x)x
Click here to see answer by scott8148(6628)

Question 294493: I have a piece of cardboard that is twice as long as it is wide. If I cut a 2-inch by 2-inch square from each corner and fold up the resulting flaps, I get a box with a volume of 6720 cubic inches. What are the dimensions of the cardboard?
Click here to see answer by checkley77(12569)

Question 294589: I am trying to help my daughter. Bailey bought a circular table cloth for her kitchen. It had a diameter of 7 ft. how many sq.ft of cloth was in the table cloth use 22/7 for pi. I believe the answer is 38.5 sq.ft
Click here to see answer by richwmiller(9144)

Question 294615: what is the height of a triangle whose area is 4 square meters and whose base is 2.5 meters
Click here to see answer by TakeishaM(13)

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