Questions on Word Problems: Geometry answered by real tutors!

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Question 1179564: From the main entrance of a park, there are two pathways where visitors can walk along going to the circular garden. The pathways are both tangent to the garden whose center is 40m away from the main entrance. If the area of the garden is about 706.5m², how long is each pathway?
Click here to see answer by greenestamps(13200)

Question 1179634: Graph y = x2 + 5x + 6. Determine the table of values and calculate the first and second differences.

Click here to see answer by ikleyn(52780)

Question 1179632: For each equation, identify the equation of the axis of symmetry, the coordinates of the
vertex, the y-intercept, the zeros, and the maximum or minimum values.
1. y = x 2 + 4x + 3
2. y = -2(x - 3) 2 + 9
3. y = 3(x - 0.5) 2
Click here to see answer by josgarithmetic(39617)

Question 1179642: 1.the classroom is 20 feet long and 30 feet wide.the principal decided that the tiles would look attractive in that class.if each tile is 24 inches long and 36 inches wide,how many tiles are needed to fill the classroom?
2.a rectangle is 4 times as long as it is broad.if the lenth is increased by 4 inches and the width is decreased by 1 inch,the area would be 60 squares inches.what were the dimensions of the original rectangle?
Click here to see answer by mananth(16946)

Question 1179669: Graph y = x2 + 5x + 6. Determine the table of values and calculate the first and second differences.
Click here to see answer by greenestamps(13200)

Question 1179669: Graph y = x2 + 5x + 6. Determine the table of values and calculate the first and second differences.
Click here to see answer by MathLover1(20849)

Question 1179633: Graph the following. For each one, identify the vertex, and the axis of symmetry.
Describe the transformations.
a. y = x 2 + 9
b. y = -2(x - 1) 2
c. y = -2(x - 1) 2 + 2
d. y = 1 / 2 (x + 3) 2 - 1
Click here to see answer by ewatrrr(24785)

Question 1179671: For the equation, identify the equation of the axis of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and the maximum or minimum values.
1. y = -2(x - 3) 2 + 9
Click here to see answer by Boreal(15235)

Question 1179670: The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).
Find the equation of the perpendicular bisector of the side QR.
Find the slope of the median of the triangle that passes through point R.
Find the slope of the altitude of the triangle that passes through point Q.
Click here to see answer by Edwin McCravy(20054)

Question 1179853: The length of a rectangle is 5 inches more than twice the width. If the area of the rectangle is 33 square feet, find
the length and the width of the rectangle.
Click here to see answer by josgarithmetic(39617)

Question 1179921: For the equation, identify the equation of the axis of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and the maximum or minimum values.
1. y = 3(x - 0.5)^2
Click here to see answer by ikleyn(52780)

Question 1179961: A large industrial winch is enclosed. There are 15 inches of the cable hanging free off of the winch's spool and the distance from the end of the cable to the spool is 8 inches. What is the diameter of the spool?
Click here to see answer by greenestamps(13200)

Question 1179995: The four vertices of a quadrilateral are A (-4,5), B(1,9), C(6,5) and D(1,1). Can you help me prove the quadrilateral is a rhombus ?
Click here to see answer by Boreal(15235)

Question 1179996: What is the algebraic solution for the vertices A (-3,1), B(0,5), C(4,2) and D(2, -9). The midpoint is (1/2, 3/2)
Click here to see answer by greenestamps(13200)

Question 1180036: For each equation, identify a, h, and k; list the coordinates of the vertex; direction of opening; step pattern (a * 1,3,5) and the transformations required to get this new parabola from the original y = x2.
y = x2
y = 2(x - 1)2
y = 2(x - 1)2 + 3
y = -2(x - 3)2 - 1
y = (x + 1)2
y = (x + 3)2  - 1

Click here to see answer by MathLover1(20849)

Question 1180126: A ladder is leaning against the wall and makes a 60𝑜 angle with the ground. The
base of the ladder is 7ft from the building. How high above the ground is the top of
the building?
Click here to see answer by josgarithmetic(39617)

Question 1180186: how long must a rectangle be in order to hold 1800 cubic centimeters if its width is 12 centimeters and its height is 6 centimeters?

Click here to see answer by mananth(16946)

Question 1180283: Austin is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 10 inches × 15
1
2
inches. He needs to cut another rectangle that is 10
1
4
inches by 10
1
2
inches. How many total square inches of construction paper does Austin need for his project

Click here to see answer by greenestamps(13200)

Question 1180401: A septic tank has the shape shown. How many gallons of fluid does it hold? Use 3.14 for pi. One side is 6ft 9 in and the other is 4ft 3in
Click here to see answer by ikleyn(52780)

Question 1180430: Bob cut a piece of wood from a tree. What is the shape of the wood?
A piece of wood has a round face and is tubular in shape.
(1 point)
pyramid
prism
cone
cylinder
Click here to see answer by ikleyn(52780)

Question 1180543: A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and
an opening 6 cm wide. If all the ice melted in the cup, would it overflow?
Click here to see answer by math_tutor2020(3816)

Question 1180596: Point P(1,0) partitions MN in the ratio of 5:4. The coordinates of M are
(-4,5). Find the coordinates of N.
Click here to see answer by Edwin McCravy(20054)

Question 1180596: Point P(1,0) partitions MN in the ratio of 5:4. The coordinates of M are
(-4,5). Find the coordinates of N.
Click here to see answer by greenestamps(13200)

Question 1180041: For each equation identify the direction of opening; step pattern (a * 1,3,5) and the transformations required to get this new parabola from the original y = x2.
y = x2
y = 2(x - 1)2
y = 2(x - 1)2 + 3
y = -2(x - 3)2 - 1
y = (x + 1)2
y = (x + 3)2  - 1
please answer for every question so i can check my work thank you.
Click here to see answer by MathLover1(20849)

Question 1180711: the surface of a basketball is 576π cm². How far does this basketball travel if it makes 4 complete rolls?
Click here to see answer by mananth(16946)

Question 1180711: the surface of a basketball is 576π cm². How far does this basketball travel if it makes 4 complete rolls?
Click here to see answer by MathTherapy(10552)

Question 1180711: the surface of a basketball is 576π cm². How far does this basketball travel if it makes 4 complete rolls?
Click here to see answer by ikleyn(52780)

Question 1180730: A triangle has a perimeter of 69 meters. The length of the second side is twice the length of the first side. The third side is 5 meters longer than the first side. How long is each side?
Click here to see answer by josgarithmetic(39617)

Question 1180748: How long is the ladder which makes an angle of 30° with the side of the house and whose foot is 104 cm away from the base of the house? Show your solution.
Click here to see answer by mananth(16946)

Question 1180830: Two sides of a triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle
Click here to see answer by ikleyn(52780)

Question 1180834: A region of land 50m by 40m is to cross diagonally by a road 15 meters wide as shown in the figure. What is the roads area
Click here to see answer by mananth(16946)

Question 1180833: The sides of a triangle are 70cm, 80cm, and 90 cm. Compute the length of the altitude to the 80-cm side.
Click here to see answer by mananth(16946)

Question 1180833: The sides of a triangle are 70cm, 80cm, and 90 cm. Compute the length of the altitude to the 80-cm side.
Click here to see answer by ikleyn(52780)

Question 1180833: The sides of a triangle are 70cm, 80cm, and 90 cm. Compute the length of the altitude to the 80-cm side.
Click here to see answer by MathTherapy(10552)

Question 1180833: The sides of a triangle are 70cm, 80cm, and 90 cm. Compute the length of the altitude to the 80-cm side.
Click here to see answer by josgarithmetic(39617)

Question 1180832: Suppose that AD,BC, AC, and BD are line segments with line AD parallel to line B. If AD=3, BC=1, and the distance from AD to BC is 5, then what is the sum of the areas of the two triangles formed?
Click here to see answer by mananth(16946)

Question 1180868: the area of two similar polygons are 64sq. units and 100sq. units respectively. if a side of the larger polygon is 36 units find the corresponding sides of the smaller polygon
Click here to see answer by Theo(13342)

Question 1180865: Find the area of a regular octagon with one edge that measures 2 units
Click here to see answer by ikleyn(52780)

Question 1180864: Determine the perimeter of a regular polygon whose one side measures 7.5 cm. And each central angle is 18°
Click here to see answer by ikleyn(52780)

Question 1180867: A regular hexagon A has the midpoints of its edge joined to form a smaller hexagon B, and this process is repeated by joining the midpoints of the edges of B to get a third hexagon C. What is the ratio of the area of C to the area of A
Click here to see answer by greenestamps(13200)

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