Questions on Word Problems: Geometry answered by real tutors!

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Question 971498: a rectangle has a diagonal of 15 feet and a perimeter of 42 feet. find the rectangle's dimensions
Click here to see answer by josgarithmetic(39617) About Me 

Question 971454: You decided to build a dog house run in back corner your yard. If you only have 60 feet of fencing, what is the maximum area that you can enclose? What dimensions produce the maximum area

Click here to see answer by Alan3354(69443) About Me 

Question 971555: A factory worker makes $22.20 per hour for working overtime. The overtime rate is 1 1/2 times the regular rate. What is the workers regular hourly rate in dollars?
Click here to see answer by checkley77(12844) About Me 

Question 971574: Lisahas 80 m of fencing. What dimensions should she build her garden to maximize the area.
Click here to see answer by rfer(16322) About Me 

Question 971592: Mary
is making a circular quilt "the first four sections will have central angles of 10° 15° 25° and 30° if the remaining four sections will have the same area what will the central angle of each remaining section be

Click here to see answer by stanbon(75887) About Me 

Question 971630: a chord subtends an angle of 110 degrees at the centre of a circle of radius 5cm. find the length of the chord.

Click here to see answer by josgarithmetic(39617) About Me 

Question 971679: A regular hexagon ABCDEF has vertices at A(4,4√3), B(8,4√3), C(10,2√3), D(8,0), E(4,0), and F(2,2√3). Suppose the sides of the hexagon are reduced by 40% to produce a similar regular hexagon. What are the perimeter and area of the smaller hexagon rounded to the nearest tenth?
Click here to see answer by Alan3354(69443) About Me 

Question 971647: the length of the shorter leg of a 30 60 90 triangle is 3 what is the length of the hypotenuse
Click here to see answer by rfer(16322) About Me 

Question 971785: a right cylindrical container has a radius of 12 centimeters and the height of 15 centimeters a right conical containers base has a diameter of 24 centimeters if the conical container hase the same volume as the cylindrical container what it's the height of the conical container
Click here to see answer by amarjeeth123(569) About Me 

Question 971760: the height of the water H in feet at a boat dock t hours after 6 a.m. is given by H=10+sin pi/4 t. what is the height of the water at 10 a.m. ?
a. 5 feet
b. 12 feet
c. 15 feet
d. 10 feet

Click here to see answer by Alan3354(69443) About Me 
Question 971760: the height of the water H in feet at a boat dock t hours after 6 a.m. is given by H=10+sin pi/4 t. what is the height of the water at 10 a.m. ?
a. 5 feet
b. 12 feet
c. 15 feet
d. 10 feet

Click here to see answer by rothauserc(4718) About Me 

Question 971857: A round, above ground pool has a diameter of 15 feet and a height of 4.5 feet. What is the circumference of the pool? What is its volume?
Click here to see answer by Alan3354(69443) About Me 

Question 971876: Jacob stretched a 250-foot piece of rope from one corner of a square parking lot diagonally to the opposite corner?

Click here to see answer by Boreal(15235) About Me 

Question 971877: a rectangular garden whose length is 3 feet longer than its width has an area of 65 square feet. find the dimensions of the garden, round to the nearest of a hundred foot

Click here to see answer by anand429(138) About Me 

Question 971883: one angle of a triangle is four times as large as another. The measure of the third angles is 24 degrees more than that of the smallest angle. Find the measure of each angle
Click here to see answer by Boreal(15235) About Me 

Question 971556: The number of days a school is in session for a year is 15 more than the number of days of vacation. How many days is the school in session out of 365 days in a year?
Click here to see answer by macston(5194) About Me 

Question 971755: What is the area of this parallelogram?
6in
8in
17in
10in

80 square inches
102 square inches
136 square inches
170 square inches

Click here to see answer by Alan3354(69443) About Me 

Question 971902: a cone is inscribed in a cylindrical container that can hold 5555 liters of water. What would be the slant height of the cone if its vertex lie on the top of the surface of the cylindrical container? The base of the cylindrical container is also the base of the cone with 0.05 meter radius.
Click here to see answer by josgarithmetic(39617) About Me 

Question 971927: The cost of armstrong mamorette parchment linoleum is $2.59 per square foot. This price includes the cost of installation. Determine the cost for nancy to have this linoleum installed in the kitchen and in both bathrooms.

kitchen 12x14
bath 8x14
bath 6x10

Click here to see answer by rfer(16322) About Me 

Question 972011: a soup company multiplies the dimensions of its cylindrical soup can by a scale factor increasing the volume of a can from 400 cubic centimeters to 1,350 cubic centimeters. if the height of the original can was 5 centimeters, which is the closest to the height of the new can?
Click here to see answer by josgarithmetic(39617) About Me 

Question 972067: the area of a triangle garden near the playground is 12 square feet.The height of the garden is 4 feet how long is the base of the garden.How long is the base of the Garden

Click here to see answer by amarjeeth123(569) About Me 

Question 972424: you are building a rectangular flower garden. you want the area of the garden to be 39 ft^2. you want the length of the garden to be 10 ft longer than its width. what dimensions of the garden should you use ?
Click here to see answer by Boreal(15235) About Me 

Question 972728: A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its final height is 6 feet
Click here to see answer by Boreal(15235) About Me 

Question 972721: The following graph describes function 1, and the equation below it describes function 2:
Function 1
graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2
f(x) = -x2 + 2x - 15
Function ____ has the larger maximum.
(Put 1 or 2 in the blank space)

Click here to see answer by Boreal(15235) About Me 

Question 972838: Jorge wants to fill-up a cold storage room with with boxes of side 2.75 m. If the volume of the storage room is 3,639m3, how many boxes can he stored?
Click here to see answer by Boreal(15235) About Me 

Question 972846: The water sprays 30 yards from the head of each sprinkler in a semicircular pattern. One of the sprinklers is broken and instead of rotating 180 degrees to water its portion of the field, it is only able to rotate 72 degrees. Determine the area that the broken sprinkler is able to water to the nearest tenth of a yard
Click here to see answer by Boreal(15235) About Me 

Question 972816: A piece of fabric for a quilt design is in the shape of a parallelogram. The base is 7 and the height is 3.6. What is the total area of the 23 pieces need for the quilt?
Click here to see answer by macston(5194) About Me 

Question 972876: b. In a quadrilateral, the sum of the measures of all the four angles is 360o. Suppose a quadrilateral has two angles that are equal. Also, the third angle is equal to the sum of the two equal angles. The fourth angle is 60o less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.
Click here to see answer by macston(5194) About Me 

Question 972882: A rectangle has a length that is 4 feet greater than its width. If each side of the rectangle is increased by 2 feet, write an equation to represent the area of the new rectangle.
Any feedback is appreciated. Confused parent trying to help 15 year old struggling in Math 1.
Thanks in advance!

Click here to see answer by JoelSchwartz(130) About Me 
Question 972882: A rectangle has a length that is 4 feet greater than its width. If each side of the rectangle is increased by 2 feet, write an equation to represent the area of the new rectangle.
Any feedback is appreciated. Confused parent trying to help 15 year old struggling in Math 1.
Thanks in advance!

Click here to see answer by MathTherapy(10552) About Me 

Question 972887: My daughter and I are arguing over this problem. So a second opinion would be greatly appreciated.
A rectangle has a length that is 4 feet greater than its width. If each side of the rectangle is increased by 3 feet, write an equation to represent the area of the new rectangle. My daughter's answer was
4x^2+15x+9.
Please show steps. I incorrectly submitted wrong numbers before, so having difficulty explaining.
Thanks in advance and any feedback is appreciated.

Click here to see answer by macston(5194) About Me 
Question 972887: My daughter and I are arguing over this problem. So a second opinion would be greatly appreciated.
A rectangle has a length that is 4 feet greater than its width. If each side of the rectangle is increased by 3 feet, write an equation to represent the area of the new rectangle. My daughter's answer was
4x^2+15x+9.
Please show steps. I incorrectly submitted wrong numbers before, so having difficulty explaining.
Thanks in advance and any feedback is appreciated.

Click here to see answer by MathTherapy(10552) About Me 

Question 972794: the sides of a parallelogram are in the ratio 2:3. Find the adjacent sides of the parallelogram , if the perimeter of the parallelogram is 20 cm.

Click here to see answer by josgarithmetic(39617) About Me 

Question 971298: A house has 3 windows that are polygons with a total of 13 sides. Two of the windows are the same shape. The third window has one more side than the first two windows. What specific shapes are the windows.

Click here to see answer by macston(5194) About Me 

Question 972747: Two pyramids are ~.the slant height of the smaller pyramid is 14m and the slant height of the larger pyramid is 22m. If the volume of the larger is 138m cubed, what's the volume of the smaller pyramid?
Click here to see answer by KMST(5328) About Me 

Question 972956: If A(2, 0), B(6, 3), C(1, -5), and D(-5, 5), then what is the length of AB? Round to the nearest tenth.
Click here to see answer by macston(5194) About Me 

Question 972975: If the are of a circle is 3.14, what is the radius?
Click here to see answer by Alan3354(69443) About Me 

Question 972678: the base of the sandbox is shaped like a parallelogram. The paraelogram base has an area of 9 squared feet and the sandbox has a volume of 13,5 cubic feet. what is the height of the sandbox?
Click here to see answer by macston(5194) About Me 

Question 972697: How many triangles can be made in a 4 by 20 grid in which the triangles have an area greater than Zero?
I figured out how many you can make when the trianes have zero area. That would be 80 choose 3 which is 82160 but I can't figure it out

Click here to see answer by solver91311(24713) About Me 

Question 973042: How many square meters of fabric are needed to make 120 triangular pennants each with a base of 30 cm and a height of 48 cm
Click here to see answer by macston(5194) About Me 
Question 973042: How many square meters of fabric are needed to make 120 triangular pennants each with a base of 30 cm and a height of 48 cm
Click here to see answer by Alan3354(69443) About Me 

Question 973099: A problem on my math homework really gave me a hard time trying to understand it because it didnt make any sense to me... this is the question..
"Suppose you want to enclose a garden with 26 m of fencing. If the back of the garden is enclosed by a stone wall, 20 m long, what size rectangle would maximize the area of the garden?"
i tried to draw a picture, but it just doesnt make any sense...unless i am making a mistake with my diagram, at first i thought it could be a "20x3" rectangle but im not sure how i did that, could you please explain this to me.. thanks!

Click here to see answer by josgarithmetic(39617) About Me 
Question 973099: A problem on my math homework really gave me a hard time trying to understand it because it didnt make any sense to me... this is the question..
"Suppose you want to enclose a garden with 26 m of fencing. If the back of the garden is enclosed by a stone wall, 20 m long, what size rectangle would maximize the area of the garden?"
i tried to draw a picture, but it just doesnt make any sense...unless i am making a mistake with my diagram, at first i thought it could be a "20x3" rectangle but im not sure how i did that, could you please explain this to me.. thanks!

Click here to see answer by stanbon(75887) About Me 

Question 973110: The area of a rectangular restaurant kitchen is 80 square meters. The perimeter is 36 meters. What are the dimensions of the kitchen?
Click here to see answer by Boreal(15235) About Me 
Question 973110: The area of a rectangular restaurant kitchen is 80 square meters. The perimeter is 36 meters. What are the dimensions of the kitchen?
Click here to see answer by macston(5194) About Me 

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