Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1117669: Consider and trapezoid in the following image and use them to answer the questions below. is a right triangle and trapezoid is isosceles. Do NOT use the law of cosines, use our knowledge from the content of this course.
https://api.agilixbuzz.com/Resz/~PW4LEAAAAAg0mvm0m9wE0B.X2QsVlPtegqSvwegHlyxOB/48780738,5CF,0,0/Assets/Media/Images/41.6-HOT1-Proofs.jpg
a. Describe how to find the lengths of segments x, y, and z . Show your answers for this question. Explain how you can be confident your calculations are correct.
b. Describe how to find the angle measures of angle DEG, angle DGE, angle EDG and angle ABC . Explain how you can be confident your calculations are correct.
c. Are there any segments or angles you can’t calculate based solely on the information in the image? Why?
d. If we drew a median into trapezoid DEFG and the given measurement of that median was 21.425, would that change your answer for part c of this question?
Click here to see answer by Boreal(15235)   |
Question 1117925: A pendulum is 105cm long and swings about one end through 5° on either side of the vertical. One complete swing (i.e. back to the starting point) takes 2 seconds.
(a) Through what angle does the pendulum swing in one complete swing?
(b) How far does the tip of the pendulum travel in 1 hour?
Click here to see answer by Alan3354(69443)  |
Question 1117985: i need help on this word problem - wallpaper is applied to the wall surrounding a norman window (a shape made by placing a semi circle om top of a rectangle) how many square feet of wallpaper are required to cover the wall surrounding the window?
Click here to see answer by solver91311(24713)  |
Question 1118139: It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 70 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?
Click here to see answer by josgarithmetic(39617) |
Question 1118139: It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 70 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?
Click here to see answer by ikleyn(52781)  |
Question 1118139: It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 70 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?
Click here to see answer by greenestamps(13200)  |
Question 1118196: You work for a catering company making cakes. The catering company must create a hexagonal cake for a tool company. Your company currently makes a small cake that is hexagonal and serves 8 people. The tool company wants one cake to serve 40 people. To feed that many the length of each dimension of the larger cake will be about 1.7 times that of the smaller cake. Each edge of the small cake is 6 inches and the height of the cake is 3 inches.
a. What is the length of the edge of the larger cake?
b. What is the height of the large cake?
c. Your boss wants to know the scale factor of the volume of the cakes so that he can make sure you have enough materials to create the cake. What is the scale factor for the volume?
Click here to see answer by greenestamps(13200) |
Question 1118226: Sarah has some large, polygon-shaped cardboard cutouts that she needs to sort, because she wants to hang them in her geometry classroom. The first division she needs to make is to divide the regular polygons from the irregular ones. In order to save time measuring all angles and sides of each polygon, and owing to the size and number of sides/angles in each shape, Sarah decides to measure just one angle in each polygon. Consider the following angle measures for polygons A through T, and answer the following questions.
A B C D E F G H I J
10 15 20 30 40 45 50 60 72 75
K L M N O P Q R S T
80 90 100 108 120 144 150 210 240 360
a. If each angle measure represented an measure of its polygon, which of the polygons could be regular? Explain your answers.
b. If each angle measure represented an measure of a regular polygon, name each polygon by using its number of sides. (For any figure with more than 12 sides, just use the number: e.g. 45-gon.)
c. If each angle measure represented an measure of its polygon, which of the polygons could be regular? Explain your answers.
d. If each angle measure represented an measure of its polygon, which of the polygons do we know are convex? Explain your answers.
Click here to see answer by greenestamps(13200) |
Question 1118294: Find the dimensions (radius and height) that give the minimum cost for producing cylindrically shaped aluminum cans with lids and a volume of 16pi in^3. How much would it cost to produce 100,000 cans if aluminum price is 0.03 cents/in^2?
Click here to see answer by josgarithmetic(39617) |
Question 1118503: Use the diagram to solve for the given segments below. You can assume that the tree, flagpole and person are parallel to one another.
A person who is 6 feet tall casts a shadow 32 feet long between (N) and (G). The distance along the ground from the person (N) to the flagpole (L) is 128 feet, and the distance from the flagpole (L) to the tree (R) is 800 feet.
a. Set up a proportion and find the height of the flagpole. Show your work. (5 points)
b. Set up a proportion and find the height of the tree. Show your work. (5 points)
Click here to see answer by josgarithmetic(39617) |
Question 1118503: Use the diagram to solve for the given segments below. You can assume that the tree, flagpole and person are parallel to one another.
A person who is 6 feet tall casts a shadow 32 feet long between (N) and (G). The distance along the ground from the person (N) to the flagpole (L) is 128 feet, and the distance from the flagpole (L) to the tree (R) is 800 feet.
a. Set up a proportion and find the height of the flagpole. Show your work. (5 points)
b. Set up a proportion and find the height of the tree. Show your work. (5 points)
Click here to see answer by greenestamps(13200) |
Question 1118932: Water flowed from a cylindrical tank at a constant rate of 10mL per second. The height of the tank is 1.2 metres.
a) Find the radius of the tank to the nearest cm if it takes 3 days to empty the tank
b) The tank needs to be transported and is placed in a fitted rectangular box. Find the dimension and volume of the box required.
Click here to see answer by solver91311(24713) |
Question 1119040: You decide to get rid of the old ceramic tile roof and replace it with a colourbond steel roof.
For ease, assume the roof is a single pitch A-frame with the ridge along the long axis of the house.
The rectangular roof covers the whole house including the rear deck
but not the front balcony.
Allow a horizontal 800mm of overhang from all outer walls for the eaves
colourbond sheets are 750 wide and can be cut to any length
ignore any overlap between sheets and calculate
a) The length (x) of each sheet
b) How many sheets you need
Email me for the image at: emilyaldrick@gmail.com
Click here to see answer by addingup(3677)  |
Question 1119134: You are going camping with your family for a family reunion. You need to know how many sleeping bags will fit inside the tent you will be using. The floor of the tent is a trapezoid with bases of 10 ft. and 28 ft. The distance between the bases is 12 ft. and the legs of the trapezoidal floor are 15 ft. For the camping trip you will all be using sleeping bags that are 6.7 ft. by 2.3 ft.
a. Calculate the area of the floor of the tent using area formulas for rectangles and triangles.
b. Calculate the area of the floor using the formula for a trapezoid.
c. What did you discover about the two methods of calculating the area of the floor?
d. Find the perimeter of the tent and the perimeter of a sleeping bag.
e. How much area do you need for one sleeping bag?
f. Based on total area alone (ignore odd angles), how many people will be able to sleep in this tent? Explain.
Click here to see answer by greenestamps(13200) |
Question 1119201: Conveyor belts called grain elevators are used to move grain into a silo. Answer the following questions knowing that the lower end of the belt is 100 feet from the base of the silo and that the silo is 150 feet tall.
a. How long is the belt?
b. If we know the angle of elevation from the lower end of the belt to a window on the side of the silo is 45°, use special right triangle ratios to calculate the height of the window from the ground.
c. We need a ramp to the window. How long would it need to be?
Click here to see answer by josgarithmetic(39617) |
Question 1119202: You work at a pioneer historical site. On this site you have handcarts. One cart has a handle that connects to the center of the wheel. We have to maintain the handle of the cart at an angle of no more than 20° with the ground so the contents do not spill out. The distance from where the handle rests on the ground to the point where the wheel is sitting on the ground is 45 inches. The distance of the center of the wheel to the end of the handle is approximately 48 inches.
picture: https://api.agilixbuzz.com/Resz/~PW4LEAAAAAQsZBc1R9ciiB.CLm56DbZ6T1uAwIk1KSyJA/48780739,5F4,0,0/Assets/Media/Images/43.3-HOT2-Handcart.jpg
a. Identify the parts of the handcart wheel that would represent congruent chords and congruent central angles. Explain why.
b. Find the radius of the wheel.
c. If the measure of the arc from A to B around the outside of the wheel were changed to 72°, what is the new angle the handle makes with the ground? Will the contents remain in the handcart at that angle? Will the handle rest on the ground?
d. If a pioneer pulling the handcart held the handle at a height of 48 inches off the ground, would the contents of the cart spill out the back? How high can the pioneer lift the handle off the ground before the contents started spilling out?
Click here to see answer by greenestamps(13200) |
Question 1119359: The average, or mean, D, of three exam grades, w, r, and v, is given by the following formula.
D = w+r+v over 3
(a) Solve the formula for v.
(b) Use the formula in part (a) to solve this problem. On your first two exams, your grades are 86% and 89%: w=86 and r=89. What must you get on the third exam to have an average of 86%?
Click here to see answer by Boreal(15235) |
Question 1119376: On a sheet of paper, graph a line segment from starting point S(2,5) to ending point E(-1,-3) and then perform the following:
a. What will be the new starting and ending points if you reflected this line segment through the line y = x ?
b. Find the point on this new (reflected) segment which is 3/4 of the way from the starting point to the ending point. What quadrant is this point in?
c. Explain how you arrived at your answers.
Click here to see answer by greenestamps(13200) |
Question 1119737: Julie, a police officer, has the following work pattern. She works 3 days, has 4 days off, then works 4 days, then has 3 days off, and then the pattern repeats. Assume that today is the first day of the work pattern. Answer the following questions showing the computations that support your answer.
a. Will Julie be working 30 days from today?
b. Julie’s niece is getting married 45 days from today. Will Julie have the day off?
Click here to see answer by ikleyn(52781) |
Question 1120458: A SEARCHLIGHT HAS A PARABOLIC REFLECTOR (HAS A CROSS SECTION THAT FORMS A BOWL) THE PARABOLIC BOWL IS 16 INCHES WIDE FROM RIM TO RIM AND 12 INCHES DEEP. THE FILAMENT OF THE LIGHT BULB IS LOCATED AT THE FOCUS. WHAT IS THE EQUATION OF THE PARABOLA USED FOR THE REFLECTOR? HOW FAR FROM THE VERTEX IS THE FILAMENT OF THE LIGHT BULB?
Click here to see answer by Alan3354(69443) |
Question 1120459: A SEARCHLIGHT HAS A PARABOLIC REFLECTOR (HAS A CROSS SECTION THAT FORMS A BOWL) THE PARABOLIC BOWL IS 16 INCHES WIDE FROM RIM TO RIM AND 12 INCHES DEEP. THE FILAMENT OF THE LIGHT BULB IS LOCATED AT THE FOCUS. WHAT IS THE EQUATION OF THE PARABOLA USED FOR THE REFLECTOR? HOW FAR FROM THE VERTEX IS THE FILAMENT OF THE LIGHT BULB?
Click here to see answer by Alan3354(69443) |
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