Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1115935: Hello, I was having trouble finding the solution to this multi-part problem. I know it is a lot to ask for but I would be grateful if I could get the answers but along with that the work all thought out so I can actually understand the concept! Thank you:)
1.A history pop quiz has one question in which students are asked to arrange the following presidents in chronological order: Hayes, Taft, Polk, Taylor, Grant, and Pierce.
After carefully reading the scenario, determine the number of possible different arrangements of the presidents. Which will work better to determine this answer, permutation or combination? Make an argument as to why your way works.
Besides your method, is there another method to determine the number of outcomes? Explain.
Calculate the probability that an unprepared student will guess the correct order. Explain.
2.In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbers be drawn in the lottery. The winning numbers can be drawn in any order.
After carefully reading the scenario, determine the number of possible arrangements of the six numbers. Which will work better to determine this answer, permutation or combination? Justify your answer.
Besides your method, is there another method to determine the number of outcomes? Explain.
Calculate the probability of winning. Explain.
Make an argument for or against playing the lottery.
3.A classic counting problem in statistics is to determine the number of different ways that the letters of “Mississippi” can be arranged.
After carefully reading the scenario, determine the number of possible different arrangements of the letters of the word “Mississippi.” Which will work better to determine this answer, the fundamental counting rule or the permutations rule? Justify your answer.
Click here to see answer by stanbon(75887)  |
Question 1115935: Hello, I was having trouble finding the solution to this multi-part problem. I know it is a lot to ask for but I would be grateful if I could get the answers but along with that the work all thought out so I can actually understand the concept! Thank you:)
1.A history pop quiz has one question in which students are asked to arrange the following presidents in chronological order: Hayes, Taft, Polk, Taylor, Grant, and Pierce.
After carefully reading the scenario, determine the number of possible different arrangements of the presidents. Which will work better to determine this answer, permutation or combination? Make an argument as to why your way works.
Besides your method, is there another method to determine the number of outcomes? Explain.
Calculate the probability that an unprepared student will guess the correct order. Explain.
2.In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbers be drawn in the lottery. The winning numbers can be drawn in any order.
After carefully reading the scenario, determine the number of possible arrangements of the six numbers. Which will work better to determine this answer, permutation or combination? Justify your answer.
Besides your method, is there another method to determine the number of outcomes? Explain.
Calculate the probability of winning. Explain.
Make an argument for or against playing the lottery.
3.A classic counting problem in statistics is to determine the number of different ways that the letters of “Mississippi” can be arranged.
After carefully reading the scenario, determine the number of possible different arrangements of the letters of the word “Mississippi.” Which will work better to determine this answer, the fundamental counting rule or the permutations rule? Justify your answer.
Click here to see answer by ikleyn(52777)  |
Question 1115898: Make a sketch if you need to and solve this problem using similar triangles.
A telephone pole has a shadow of 16 ft. when a person 5 ft. tall has a shadow of 6 ft. How tall is the pole?
Write answer as a mixed number.
Click here to see answer by Alan3354(69443)  |
Question 1116406: Which statements about finding the area of the equilateral triangle are true? Check all that apply.
The apothem can be found using the Pythagorean theorem.
The apothem can be found using the tangent ratio.
The perimeter of the equilateral triangle is 15 cm.
The length of the apothem is approximately 2.5 cm.
The area of the equilateral triangle is approximately 65 cm2.
Click here to see answer by greenestamps(13198)  |
Question 1116540: 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 exterior measure of its polygon, which of the polygons could be regular? Explain your answers.
b. If each angle measure represented an exterior 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 exterior measure of its polygon, which of the polygons could be regular? Explain your answers.
d. If each angle measure represented an exterior measure of its polygon, which of the polygons do we know are convex? Explain your answers.
Click here to see answer by stanbon(75887) |
Question 1116661: Charlie and Sharon ihave a circular pool in their back yard. They bought some fencing to put around the pool, but by mistake, Charlie ordered exactly the circumference of the pool. If they want the fence to be 4 ft from the pool on all sides, how many more feet of fencing do they need?
My work so far:
2(3.14)(4) = 25.12 circumference of the pool
Click here to see answer by josgarithmetic(39617) |
Question 1116692: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle. See the figure below.) If the perimeter of the window is 32 ft, find the value of x so that the greatest possible amount of light is admitted.
Click here to see answer by josgarithmetic(39617) |
Question 1116692: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle. See the figure below.) If the perimeter of the window is 32 ft, find the value of x so that the greatest possible amount of light is admitted.
Click here to see answer by greenestamps(13198) |
Question 1116692: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle. See the figure below.) If the perimeter of the window is 32 ft, find the value of x so that the greatest possible amount of light is admitted.
Click here to see answer by ikleyn(52777) |
Question 1116653: This question relates algebra and geometry.
The problem has a rectangle. It is divided into four - seemingly unequal - sections. The smallish section in the top right has an area of "24a^2*b^4*c". The area next to it has an area of "36a^3*b^5*c". The third labeled section has an area of "40a*b^4". Then there is a large shaded section (making 4 sections altogether).
The problem says "Rectangle ABCD is separated into four smaller rectangular regions. write an expression to represent the area of the shaded region.
Help!?
Click here to see answer by rothauserc(4718)  |
Question 1116960: Name and classify the basic geometric object each real life object represent using correct mathematical notation.
a. The location of a city on a map
b. The angle of a recliner
c. Row of corn in a garden
d. The angle of a lawn chair when laid all the way down
e. An arrow
f. The angle of a jet taking off at an airport
g. The angle a flag pole sits with the ground
Click here to see answer by stanbon(75887) |
Question 1117094: On a certain isolated beach the population of a certain shellfish and sea birds were being studied over a number of years.the shellfish were at a risk if there population fell lower than 1900 and they were at a risk If the seabird population was greater than 1300 and was greater than the shellfish population. The number of each species can be modelled by doing the sine and cosine graphs.
The shellfish had a population that was at a peak two years after the study began. The maximum order of shellfish population peaked every four years. The sea bird population peaked every nine years with a minimum of 620 and a maximum of 1780. The number of seabirds began to increase from an initial number of 1200 birds. What is the equation of the shellfish and seabird population?
Click here to see answer by greenestamps(13198) |
Question 1117398: in order to make the roof slant the top part of the sides of the bird house must be shaped like a right triangle. After looking at her plans from question#2, she determines that the triangle (shown above) should have side lengths of 6" 8" and 15". is this possible? why or why not?
Click here to see answer by josgarithmetic(39617) |
Question 1117488: A poster is shown below:
A rectangle is shown. The length of the rectangle is labeled 18 inches. The width of the rectangle is labeled 6 inches.
What are the dimensions if the poster is enlarged by a factor of seven over two ?
42 in by 126 in
3 in by 9 in
9 in by 12 in
21 in by 63 in
Click here to see answer by josgarithmetic(39617) |
Question 1117614: An architect wants to create a rectangle sun porch in a house. She wants it to have a total area of 112 square feet, and it should be 14 feet longer than it is wide. What dimension should she use for the sun porch? Round to the nearest hundredth of a foot.
Click here to see answer by josgarithmetic(39617) |
Question 1117668: 3.
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 Theo(13342)  |
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