Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1152723: The function W(x)=-0.02x^2+0.26x+7.5can be used to estimate the number of workers in a certain industry in the United States, in millions, x years after 1990. For what years were there (or will there be) 8.3 million workers in this industry?
Click here to see answer by ikleyn(52777)   |
Question 1152805: A lot has a frontage of 120 m along the road. The other sides which are both perpendicular to the road are 90 m and 60 m, respectively. It is desired to subdivide the lot into two by another perpendicular line to the road such that the area of the lot that adjoins the 90-m side is equal to one-third of the whole area. Find the length of the dividing line.
CHOICES:
A. 48.12 m B. 67.92 m
C. 81.24 m D. 97.26 m
Click here to see answer by MathLover1(20849)  |
Question 1152750: A proposed 1682-foot-tall tower would be the world's tallest full-service building (not counting antennas). Another building is 1138 feet tall. Find the unit ratio of the height of the first tower to the height of the second tower. What does your result mean in this situation?
Click here to see answer by Alan3354(69443)  |
Question 1153023: Type the coordinates of the points P, Q, and R for each of the following images under the translation defined by (x,y)right arrow(x-2,y+5).
a) Upper P prime(0,0)
b) Upper Q prime(negative 1,5)
c) Upper R prime(negative 9,negative 3)
Click here to see answer by greenestamps(13198)  |
Question 1153132: A solid metal sphere rests in a rectangular tray. The radius of the metal ball is 2cm. The width and the length of the base of the tray are 7cm and 12cm respectively. The depth of water in the tray is 2cm.
(a)Find the volume of the water in the tray
(b)If the height of the tray is 55cm, find the volume of water needed to be poured into the tray so that the metal sphere is just submerged.
(correct answer 3 significant figures if necessary)
I have tried to calculate the volume of water with 7*12*2 but still, I failed to get the correct answer which is 152. It would be helpful if you can help me.
Click here to see answer by ikleyn(52777) |
Question 1153132: A solid metal sphere rests in a rectangular tray. The radius of the metal ball is 2cm. The width and the length of the base of the tray are 7cm and 12cm respectively. The depth of water in the tray is 2cm.
(a)Find the volume of the water in the tray
(b)If the height of the tray is 55cm, find the volume of water needed to be poured into the tray so that the metal sphere is just submerged.
(correct answer 3 significant figures if necessary)
I have tried to calculate the volume of water with 7*12*2 but still, I failed to get the correct answer which is 152. It would be helpful if you can help me.
Click here to see answer by MathLover1(20849) |
Question 1153286: Three circles are mutually tangent to one another externally. Their centers are connected forming a triangle whose sides are 16 cm, 20 cm, and 24 cm. Find the area of the largest circle.
A. 804.25 cm2
B. 615.75 cm2
C. 452.25 cm2
D. 314.16 cm2
Click here to see answer by ikleyn(52777) |
Question 1153296: The cross section of a pipe is formed by two concentric circles such that the bigger one circumscribes a regular hexagon of sides measuring 9.40 cm while the other one is inscribed in it. Find the cross-sectional area of the pipe.
A.69.40 cm2
B.64.90 cm2
C.60.94 cm2
D.60.04 cm2
Click here to see answer by ikleyn(52777) |
Question 1153290: A swimming pool is constructed in the shape of two intersecting identical circles having a radius of 9 m. The distance between their centers is 9 m.Find the area of the swimming pool.
A.435.09 m2
B.428.67 m2
C.409.44 m2
D.401.83 m2
Click here to see answer by ikleyn(52777) |
Question 1153285: Suppose a man 1.7 m tall could walk around the earth along a great circle whose radius is 6371.64 km. Determine the difference in the distances traveled by his head and his feet.
A. 10.28 m
B. 10.68 m
C. 11.46 m
D. 11.83 m
Click here to see answer by ikleyn(52777) |
Question 1153287: Given one large coin with 4.8 cm in diameter and many small coins with 1.5 cm in diameter. Determine the number of small coins that maybe arrange tangentially around the large coin without overlapping.
A.15
B.13
C.11
D.10
Click here to see answer by ikleyn(52777) |
Question 1153289: A circle having an area of 201 cm2 is cut into segments by a chord which is 3 cm from the center of the circle. Find the area of the smaller segment.
A.75.93 sq. cm
B.53.68 sq. cm
C.18.98 sq. cm
D.38.65 sq. cm
Click here to see answer by Boreal(15235)  |
Question 1153288: A goat is tied outside a triangular fenced garden at point A. The sides of the fence are AB = 8 m, BC = 9 m, and CA = 12 m. If the rope with which the goat is tied is 14 m long, find the area over which the goat can graze outside the fence.
A.597.34 m2
B.565.87 m2
C.532.64 m2
D.500.32 m2
Click here to see answer by Edwin McCravy(20054)  |
Question 1153694:
A cement walkway is to be poured. It consists of the two rectangles with dimensions as shown in the diagram and a quarter of a circle with radius of
1 yards.
Use pi equals 3.14 as an approximate value.
(a) How many square yards will the walkway be? Round to the nearest hundredth.
(b.) If a painter paints it for $4.50
per square yard, how much will the painting cost?
10 yards
1 yard 3 yards
1 yard
Click here to see answer by Alan3354(69443) |
Question 1153700: moody wants to find the height of the tallest building in his city. he stands 460 feet away from the building (at the vertex of the angle below). there is a tree 42 feet in front of him, which he knows is 23 feet tall.
write and solve an equation to help determine the height of the building to the nearest foot.
http://prntscr.com/rea5s6 (i think i labeled it correctly)
Click here to see answer by josgarithmetic(39617) |
Question 1153699: karen wanted to measure the height of her school's flagpole. she placed a mirror on the ground 46 feet from the flagpole, and then walked backwards until she was able to see the top of the flagpole in the mirror.
write and solve an equation set-up to find the height of the flagpole to the nearest hundredth of a foot.
http://prntscr.com/rea1n6
Click here to see answer by josgarithmetic(39617) |
Question 1153797: jane is 1.6m tall. she stands in front of a lamppost that is 3.2m high. when she stands 14m away from the lamppost, she can see that the top of the lamppost just lines up with the top of her office block. the lamppost is 90m away from the office block. find the height of the office block
Click here to see answer by mananth(16946)  |
Question 1154102: The rectangle shown has a perimeter of 62 cm and the given area. Its length is 4 more than twice its width. Write and solve a system of equations to find the dimensions of the rectangle.The area is 198 cm squared. What is the width and length of the rectangle
Click here to see answer by MathLover1(20849) |
Question 1154116: Aaron is building a circular spa for a client. He will place tile around the
rim. The outer radius is 8.5 feet and the inner radius is 8 feet.
How many square feet of tile will he need? (Use 3.14 to approximate PI)(Round
your answer to the nearest tenth.)
If the tile costs $2.50 per square foot, how much will it cost? (Round your
answer to the nearest tenth.)
Click here to see answer by josmiceli(19441)  |
Question 1154126: .
When the sun’s rays are at an angle of 39°, the distance from the top of Dakota’s head to the tip of her shadow is 77 inches. About how tall is Dakota? Round your answer to the nearest inch if necessary.
Click here to see answer by ikleyn(52777) |
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