Tutors Answer Your Questions about Geometric formulas (FREE)
Question 25729: I have a word problem I need help with. A dog is tied to a 8ft. rope tied to a stake in the middle of the circle. The radius of the circle is 8ft. About how much room does the dog have room to play in.
Click here to see answer by elima(1433) |
Question 25880: I am having trouble with this question…Use the arithmetic series of numbering of 1,3,5,7,9,….to find the following: What is the difference between any 2 terms?
Is this the formula for this question….Sum= n(a1+an)/2) if this right I’m not sure where to go next. Please help…..
Click here to see answer by venugopalramana(3286) |
Question 26075: 10) Use the geometric series of numbers 1, 1/2, 1/4, 1/8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
b) Using the formula for the nth term of a geometric series, what is 10th term?
c) Using the formula for the nth term of a geometric series, what is 12th term?
d) What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?
Click here to see answer by venugopalramana(3286) |
Question 26074: 1) Use the geometric series of numbers 1, 2, 4, 8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
b) Using the formula for the nth term of a geometric series, what is the 24th term?
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
pls help
Click here to see answer by venugopalramana(3286) |
Question 26224: 4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
a) How much money would Mr. Brown have to put on the 32nd square?
b) How much would the traveling salesman receive if the checkerboard only had 32 squares?
Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How much money would the farmer need to give the salesman?
Thank you so, much for your help.
Click here to see answer by venugopalramana(3286) |
Question 26229: An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
b) Graph this function.
c) Using the graph, what is the value of x that will produce the maximum volume?
Click here to see answer by venugopalramana(3286) |
Question 26465: A rectangular garden is to be surrounded by a walkway of constant width. The gardens dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
I am unable to figure this problem out at all. If you could please help me I would greatly appreciate it!! Thank you!!
Click here to see answer by Earlsdon(6294) |
Question 26498: I need help with this question, I have a few of the answers but need the rest.
Thanks Jeff
1) Use the arithmetic series of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any 2 terms?
Answer: 2
Show work in this space.
1+2=3+2=5+2=7+2=9
b) Using the formula for the nth term of an arithmetic series, what is 101st term? Answer:
Show work in this space.
c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms? 400
d) Answer:Show work in this space
e) Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
Answer:
Show work in this space
Click here to see answer by stanbon(75887) |
Question 28786: The British Airways London Eye is a giant Ferris wheel with a circumference of 424 meters. If it takes 30 minutes to make one revolution, what is its rate in meters per second? Give your answer to the nearest hundreth.
Click here to see answer by stanbon(75887) |
Question 29160: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a) Write h as a function of r.
b) What is the measurement of the height if the radius of the cylinder is 3 centimeters?
c) Graph this function.
Click here to see answer by Earlsdon(6294) |
Question 29234: A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 6 feet and 8 feet.
Click here to see answer by Nate(3500) |
Question 31283: I have a jar that has a circumference of 28.5 and a height of 12.5. It is hermetically sealed and inside there are normal sized jelly beans, filling the jar completely. How can I figure out how many jelly beans are inside with out counting all of them?
Click here to see answer by josmiceli(19441)  |
Question 33558: A carton is being redisigned. What is the ratio of the volume of the carton with the new design to the volume of the carton with the old design? The old design has a length of 10 in. a width of 8 in. and a height of 4 in. The new design has a length of 10 in. a width of 6 in. and a height of 6 in. The answer is either
A 8:9
B 1:1
C 6:5
D 9:8
Click here to see answer by Cintchr(481) |
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