Suppose you work at a bowling alley. after work one day, you decide to line up bowling pins in a triangular
3 answers
Question:
Suppose you work at a bowling alley. after work one day, you decide to line up bowling pins in a triangular
pattern with one pin in the first row, two pins in the second, three pins in the third, and so on.
(a)
how many total pins would you need to use in order to complete four rows?
(b) how many total pins would you need to use in order to complete ten rows?
(c) how many total pins would you need to use in order to complete one hundred rows?
how about one thousand rows?
pattern with one pin in the first row, two pins in the second, three pins in the third, and so on.
(a)
how many total pins would you need to use in order to complete four rows?
(b) how many total pins would you need to use in order to complete ten rows?
(c) how many total pins would you need to use in order to complete one hundred rows?
how about one thousand rows?
Answers
1) We are given that every row has one extra pin than the last one and since there are four rows and the First row start with 1 pin then the total number of pins in four rows would be- 1+2+3+4= 10
2) To complete 10 rows the total number of pins needed would be-
Applying arithmetic progression to find out Sn = n/2 (2a + (n-1) d) = 5 x (2+9) =55
3) Now for 100 rows applying same formula again Sn = n/2 (2a + (n-1) d) = 50 x (2+99) =5050
4) Now for 1000 rows applying the formula Sn = n/2 (2a + (n-1) d) = 500x (2+999) =500500
Ithink your answer is d
Ibelieve your answer is b.hope this : )
Similar Solved Works
4 answers
PLEASE HELP! WHOEVER ANSWERS BEST WITH EXPLANATION BECOMES BRAINLIEST! Maria is conducting a survey
PLEASE HELP! WHOEVER ANSWERS BEST WITH EXPLANATION BECOMES BRAINLIEST! Maria is conducting a survey to determine the ages of 100 dogs in an animal shelter. Which of the following questions is an appropriate statistical question for this survey? What is the number of dogs in the shelter that are more...
3 answers
Select the correct answer. Which rhetorical device is used most effectively in this portion of Martin Luther King Jr.'s
Select the correct answer. Which rhetorical device is used most effectively in this portion of Martin Luther King Jr.'s "I Have a Dream" speech? A. figurative language B. hyperbole C. repetition D. rhetorical questions...
4 answers
5. What makes the research body crucial?A. The research body is crucial because it is the lengthiest part of the research,
5. What makes the research body crucial? A. The research body is crucial because it is the lengthiest part of the research, thus meeting the research requirement such as word count and number of pages woulddepend on the research bodyB. The research body is important because it provides the discussi...
3 answers
What do you think was the greatest empire in history? and why?
What do you think was the greatest empire in history? and why?...
10 answers
PLEASE HELP ME IT'S DUE IN A FEW SECONDS
PLEASE HELP ME IT'S DUE IN A FEW SECONDS [tex]PLEASE HELP ME IT'S DUE IN A FEW SECONDS[/tex]...
4 answers
¿cómo se escribe el número siguiente en español? 135 question 5 options: a) cien treinta y cinco
¿cómo se escribe el número siguiente en español? 135 question 5 options: a) cien treinta y cinco b) uno tres cinco c) ciento tres cinco d) ciento treinta y cinco...
4 answers
Need help on 8. Picture is attached
Need help on 8. Picture is attached [tex]Need help on 8. Picture is attached[/tex]...
6 answers
Please help solve this question correctly, thanks :)
Please help solve this question correctly, thanks :)...
4 answers
After his bear is broken what does DonQuixote use as a replacement A. Sancho Panza spear B. Sancho Panza cane C. A flask
After his bear is broken what does DonQuixote use as a replacement A. Sancho Panza spear B. Sancho Panza cane C. A flask of wine D. A branch of a tree [tex]After his bear is broken what does DonQuixote use as a replacement A. Sancho Panza spear B. Sancho[/tex]...
8 answers
Complex numbers what is the sum of square root -2 and square root -18?
Complex numbers what is the sum of square root -2 and square root -18?...
4 answers
Why did the author in “thanksgiving a personalhistory” use an allusion to Pandora's box as a metaphor
Why did the author in “thanksgiving a personal history” use an allusion to Pandora's box as a metaphor for the emotions she feels...
3 answers
What is the slope of the line through (-3 3( and (-1 -1)
What is the slope of the line through (-3 3( and (-1 -1) [tex]What is the slope of the line through (-3 3( and (-1 -1)[/tex]...
9 answers
What happens to temperature and pressure when altitude increases?
What happens to temperature and pressure when altitude increases?...
4 answers
What are the important aspects to look for in a graph in order to accurately identify the function family the graph isfrom?
What are the important aspects to look for in a graph in order to accurately identify the function family the graph is from? What are the important aspects to look for in a table of values? Which is easier: determining a function family based on a graph, or based on a table of values? Why do you th...
10 answers
1. Find 3 consecutive integers whose sum is 33.
1. Find 3 consecutive integers whose sum is 33....
4 answers
Write a method that takes two rectangles and returns the (positive) difference between their areas.This method must be named areaDiff()
Write a method that takes two rectangles and returns the (positive) difference between their areas. This method must be named areaDiff() and have 2 Rectangle parameters. This method must return a double. For example suppose two Rectangle objects were initialized as shown: Rectangle rect1 = new Rect...
2 answers
Find the ordered pairs for the x- and y-intercepts of the equation 3x - 2y = 18 and select the appropriate
find the ordered pairs for the x- and y-intercepts of the equation 3x - 2y = 18 and select the appropriate option below....
3 answers
The Eight Judges in Ancient Rome was like what American government body today?aThe CongressbThe Twelve TablescPresidential VetodThe
The Eight Judges in Ancient Rome was like what American government body today? a The Congress b The Twelve Tables c Presidential Veto d The Supreme Court...