Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1145513: If ABC is equilateral triangle such that bd/bc=1/3 and ce/ca=1/3, af/ab=1/3. Find the ratio of area of the shaded region to area of abc:
(how can I show to you the shaded area? i cant paste a picture/diagram :( )
Click here to see answer by ikleyn(52778)   |
Question 1145551: A man standing on the roof of a building 65.0 feet high looks down to the building next door. He finds the angle of depression to the roof of that building from the roof of his building to be 34.6°, while the angle of depression from the roof of his building to the bottom of the building next door is 63.2°. How tall is the building next door? (Round your answer to the nearest tenth.)
____________
Click here to see answer by josgarithmetic(39617) |
Question 1145631: A rectangular sheet of tin is 40cm longer than it is wide. Squares 15cm by 15cm are cut from each corner of the sheet, and the sides are folded up and soldered to make an open box with a volume of 67,500 cm^3 What were the dimensions of the original sheet of tin?
Click here to see answer by ikleyn(52778) |
Question 1145655: This dartboard is divided into three region. The outermost region has dark shading, the middle region is shaded, and the center region is unshaded. What is the area of the region with the dark shading? Explain how you determined your answer.
Click here to see answer by ikleyn(52778) |
Question 1145653: Two flat, circular plates are placed on a circular tabletop. The diameter of each plate equals the radius of the tabletop. How many square inches of the tabletop are not covered by the plates? What fraction of the tabletop is covered? Show your work.
Click here to see answer by ikleyn(52778) |
Question 1145722: A printed page is 3cm longer than it is wide. If the page is made 1.5cm longer and the width is made 1cm larger, the size of the printed page is increased by 17cm^2 What are the original dimensions of the page?
Click here to see answer by ikleyn(52778) |
Question 1146301: By measuring the diagonals, a surveyor checks the dimensions of a rectangular revegetation area of length 25 metres. If the angle of the diagonal to the side length is 28.6°, find the length of the diagonals, correct to 1 decimal place. t
Thank You!
Click here to see answer by josgarithmetic(39617) |
Question 1146302: A right-angled triangular flag is made for the premiers of a school competition. The top edge of the flag is 25cm, and the second-largest angle on the fl ag is 71°. Find the length of the longest edge of the flag, to the nearest centimetre.
If you could provide a diagram that would be thankful
Click here to see answer by josgarithmetic(39617) |
Question 1146322: A landscaper designs a rectangular planting bed with a width that will be 35 its length. The planting bed will have an area of no more than 100 ft2. Which inequality can be used to solve for the maximum length of the planting bed, where x represents the length?
A.
35x2≤100
B.
53x2≥100
C.
35x2≥100
D.
53x2≤100
Click here to see answer by josgarithmetic(39617) |
Question 1146408: The radii of two circular pulleys with their centers 10 cm apart are 3 cm and 4 cm, respectively. They are interconnected by a cross-belt so that they rotate in opposite direction. Find the distance between two points of tangency of the two different circles measured along the belt.
Click here to see answer by greenestamps(13198)  |
Question 1146433: Find the equation of the locus of a point which moves so that its distance from the point C (3, 4) is always equal to 5.
a. x2 + y2 + 6x - 8y = 0
b. x2 + y2 + 6x + 8y = 0
c. x2 + y2 - 6x - 8y = 0
d. x2 + y2 - 6x + 8y = 0
Click here to see answer by richwmiller(17219)  |
Question 1146433: Find the equation of the locus of a point which moves so that its distance from the point C (3, 4) is always equal to 5.
a. x2 + y2 + 6x - 8y = 0
b. x2 + y2 + 6x + 8y = 0
c. x2 + y2 - 6x - 8y = 0
d. x2 + y2 - 6x + 8y = 0
Click here to see answer by KMST(5328)  |
Question 1146434: If the altitude and base of a parallelogram are increase by 5 inches, the area will increase by 50 sq. inches. If the altitude is increased by 3 inches and the base is decreased by 2 inches, the area will increase by 5 sq. inches. Determine the original value of the base of the parallelogram.
a. 3.2 inches c. 3.8 inches
b. 4.2 inches d. 5.2 inches
Click here to see answer by richwmiller(17219) |
Question 1146434: If the altitude and base of a parallelogram are increase by 5 inches, the area will increase by 50 sq. inches. If the altitude is increased by 3 inches and the base is decreased by 2 inches, the area will increase by 5 sq. inches. Determine the original value of the base of the parallelogram.
a. 3.2 inches c. 3.8 inches
b. 4.2 inches d. 5.2 inches
Click here to see answer by KMST(5328) |
Question 1146407: If the altitude and base of a parallelogram are increased by 5 inches, the area will increase by 50 sq. inches. If the altitude is increased by 3 inches and the base is decreased by 2 inches, the area will increase by 5 sq. inches. Determine the original value of the base of the parallelogram.
Click here to see answer by richwmiller(17219) |
Question 1146458: Please Help me solve:
A ladder is leaning against a building so that the top is 8 feet above the ground. The length of the ladder is 2 feet less than twice the distance of the bottom of the ladder from the building. Find the length of the ladder.
Click here to see answer by josgarithmetic(39617) |
Question 1146436: A road is tangent to a circular lake. Along the road and 12 miles from the point of tangency. Another road opens towards the lake. From the intersection of the two roads to the periphery of the lake, the length of the new road is 11 miles. If the new road will be prolonged across the lake, find the length of bridge to be constructed.
a. 1.09 miles
b. 2.09 miles
c. 3.09 miles
d. 4.09 miles
Click here to see answer by Alan3354(69443)  |
Question 1146481: A rectangular Cube with sides measuring 4 cm, is made with one cm blocks. Two straight tunnels of 4 cubes each are taken out. All exposed surfaces are painted including inside the tunnels. How many small cubes have been painted on exactly 3 faces?
Click here to see answer by greenestamps(13198) |
Question 1146431: The perimeter of an ellipse is 28.448 units. Its major axis is 10 units long and is horizontal. If its center is at the origin, find the equation of the ellipse.
a. 9x2 + 25y2 - 225 = 0
b. 16x2 + 25y2 - 400 = 0
c. 25x2 + 9y2 - 225 = 0
d. 25x2 + 16y2 - 400 = 0
Click here to see answer by greenestamps(13198) |
Question 1146428: A road is tangent to a circular lake. Along the road and 12 miles from the point of tangency. Another road opens towards the lake. From the intersection of the two roads to the periphery of the lake, the length of the new road is 11 miles. If the new road will be prolonged across the lake, find the length of bridge to be constructed.
Click here to see answer by greenestamps(13198) |
Question 1146679: If the width of a certain rectangle is increased by 3 and the length decreased by 3, the area is seen to increase by 6. But if the width is reduced by 5 and the length increased by 3, the area decreases by 90. Find the original dimensions.
Show all the steps.
Click here to see answer by richwmiller(17219) |
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