Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1194050: Part a. A kite is tethered to a stake in the ground by a string 40ft. long, which makes an angle of 60 degrees with the ground. How high is the Kite?
Part b. If the kite fell vertically to the ground, how far away from the stake would the kite land?
Click here to see answer by ikleyn(52778)   |
Question 1194050: Part a. A kite is tethered to a stake in the ground by a string 40ft. long, which makes an angle of 60 degrees with the ground. How high is the Kite?
Part b. If the kite fell vertically to the ground, how far away from the stake would the kite land?
Click here to see answer by greenestamps(13198)  |
Question 1195057: Graph a triangle ABC and perform a translation of (x + 4, y − 3) to create triangle A′B′C′.
Describe the transformation using words. Make sure you refer to the characteristics and the coordinates.
Draw a line through points A and A′ and through points B and B′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points C and C′? How do you know?
Click here to see answer by MathLover1(20849)  |
Question 1195057: Graph a triangle ABC and perform a translation of (x + 4, y − 3) to create triangle A′B′C′.
Describe the transformation using words. Make sure you refer to the characteristics and the coordinates.
Draw a line through points A and A′ and through points B and B′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points C and C′? How do you know?
Click here to see answer by Edwin McCravy(20054)  |
Question 1195113: A manufacturer packages vegetables in cans that are in the shape of right cylinders with height 15 centimeters and volume 750 cubic centimeters. If the manufacturer reduces the volume of the cans to 600 cubic centimeters but keeps the area of the base the same, by how many centimeters does the height of the can decrease?
Click here to see answer by ikleyn(52778) |
Question 1195113: A manufacturer packages vegetables in cans that are in the shape of right cylinders with height 15 centimeters and volume 750 cubic centimeters. If the manufacturer reduces the volume of the cans to 600 cubic centimeters but keeps the area of the base the same, by how many centimeters does the height of the can decrease?
Click here to see answer by greenestamps(13198) |
Question 1195131: An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
Click here to see answer by Alan3354(69443)  |
Question 1195268: Carrie, a packaging engineer, is designing a container to hold 12 drinking glasses shaped as regular octagonal prisms. Her initial sketch of the top view of the base of the container is shown above. The length is 12 inches and width is 9 inches.
A) If the length and width of the container base in the initial sketch were doubled, at most how many more glasses could the new container hold?
B) Carrie redesigned the container because the initial sketch did not account for cushioning material between the glasses. The area of the base of the newly designed container is 25% greater than the area of the base in the initial sketch. What is the area, in square inches, of the base of the newly designed container?
Click here to see answer by Solver92311(821)  |
Question 1195548: Sabrina is building a garden against the back wall of her house. She needs to put mesh fence
around the three outside edges to stop the racoons getting into the garden. If she has 60 m of
mesh fence, what dimensions will optimize the area of the garden? What is the maximum area
the garden?
Click here to see answer by ikleyn(52778) |
Question 1195548: Sabrina is building a garden against the back wall of her house. She needs to put mesh fence
around the three outside edges to stop the racoons getting into the garden. If she has 60 m of
mesh fence, what dimensions will optimize the area of the garden? What is the maximum area
the garden?
Click here to see answer by greenestamps(13198) |
Question 1195557: A candy company wants to reduce the amount of packaging they use, by minimizing the
surface area. If they still want the candy package to hold a volume of 250 cm3, what is the
minimum surface area? Assume the candy comes packaged in rectangular prisms. Round to
one decimal place.
Click here to see answer by ikleyn(52778) |
Question 1195556: In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 47° 30'. A second person standing 38.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 44° 10'. How far is the person at A from the base of the antenna? (Round your answer to the nearest whole number.)
https://www.webassign.net/mcktrig6/2-4-023.gif -picture of figure
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1195576: Sam is creating a fenced area in his backyard. He has enough fence for a perimeter of 50 m.
He wants to make the biggest area possible, using either a rectangular or a circular area.
Determine the maximum area contained by both and conclude which design he should go
with. Round to one decimal place
Rectangular design: Circular Design:
Click here to see answer by ankor@dixie-net.com(22740) |
Question 1195717: 2. An enclosure measures 3.5 m by 4.2 m. The perimeter of the enclosure in feet is about:
a) 14.7 m2
b) 50.5 ft
c) 15.4 m
d) 4.7 ft
3. To optimize area means:
a) Find the minimum area
b) Find any possible area
c) Find the maximum area
d) You already know the area
4. The volume of a rectangular prism is 40500 cm3. What is the volume in cubic metres?
a) 405 m3
b) 4.05 m3
c) 0.405 m3
d) 0.0405 m3
5. To optimize a 3D object for either the volume or surface area, the optimal shape is a
a) Rectangular Prism
b) Cube
c) Square-Based Pyramid
d) There is no optimal shape
Click here to see answer by ikleyn(52778) |
Question 1195715: A decorator is painting an odd shaped wall in an attic. The wall has one window, measuring
0.6 m by 0.5 m. The decorator calculates the area of the wall he is going to paint is equal to
7.65 m2
. The paint comes in 1-pint containers and each container covers between
approximately 55 ft2
. How many containers of paint should the decorator purchase in order to
give the wall 2 coats of paint?
Click here to see answer by Boreal(15235)  |
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