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quester [9]
3 years ago
13

Jake cuts out five-pointed stars. They are different sizes, but they all have the same shape. The side lengths within each star

are the same. To find the perimeter of each star, Jake uses the expression 12 L + 1/2 - 4 L - 8.5 + 2 L + 8, where L is the side length of the star. a. find the perimeter of a star with side length of 6 inches. Show your work. b. check your answer to problem a. Show your work.
Mathematics
1 answer:
avanturin [10]3 years ago
6 0
60 I think I am not 100%
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Calculator
Sedaia [141]

Check the picture below.

so let's find the lengths of those two sides in red, since are the length and width of the rectangle.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[-3-(-6)]^2+[6-3]^2}\implies d=\sqrt{(-3+6)^2+(6-3)^2} \\\\\\ d=\sqrt{9+9}\implies \boxed{d=\sqrt{18}} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1})~\hfill d=\sqrt{[-2-(-6)]^2+[-1-3]^2} \\\\\\ d=\sqrt{(-2+6)^2+(-1-3)^2}\implies d=\sqrt{16+16}\implies \boxed{d=\sqrt{32}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{(\sqrt{18})(\sqrt{32})}\implies \sqrt{18\cdot 32}\implies \sqrt{576}\implies 24

7 0
3 years ago
PLEASE HELP ME. ONLY HAVE COUPLE MORE MINS LEFT
ludmilkaskok [199]

Answer:

11

Step-by-step explanation:

i dont really know but i think it is 11 because its all two numbers distance

6 0
2 years ago
A researcher was interested in utilities provided by city governments. The researcher randomly selected 20 counties from a list
DaniilM [7]

Answer:

1. The population of interest is all city goverments in the U.S.

5. The parameter of interest is the proportion of the city goverments in the U.S. that provide electricity to their residents.

Step-by-step explanation:

Hello!

Missing questions:

Which of the following is true? Select all that apply.

  1. The population of interest is all city governments in the U.S.
  2. The population of interest is the 192 cities.
  3. The population of interest is all city governments that provide utilities to their residents.
  4. The population of interest is 6.25%
  5. The parameter of interest is the proportion of the city governments in the U.S. that provide electricity to their residents.
  6. The parameter of interest is 6.25%
  7. The population of interest is the 20 counties.
  8. The parameter of interest is the list of all counties in the U.S.

The objective of this essay is to test utilities provided by city governments, for this a sample of 20 counties was taken then contacted each city of them counting how many of them provided utilities to their residents, finding out that 12 out of 192 cities (6.25%) provided electricity to their residents.

The study variable is:

X: Number of city governments that provide utilities (electricity) to their residents, in a sample of 192.

The population of the study is the city governments in the U.S.

And the parameter of interest is the population proportion of city governments in the U.S. that provide electricity to their residents.

I hope it helps!

4 0
3 years ago
Jenna is making hamburgers. She puts sauce on every 2nd burger, pickles on every 3rd burger, and onions on every 5th burger.How
kotykmax [81]

Answer:

3

Step-by-step explanation:

find the lowest common multiple of 2, 3, and 5.

That is 30.

So every 30th burger will have all 3 condiments.

100/30 = 3 and 10 left over.

We only care about the 3

3 0
3 years ago
A child has toy blocks that contain the numbers 1 through 80. What is the probability that the will pick up a number that is
Tju [1.3M]

Answer:

73/80

Step-by-step explanation:

multiples of 11 between 1 and 80 are 11,22,33,44,55,66,77

number of terms=7

P(multiple of 11)=7/80

P(not a multiple of 11)=1-7/80=73/80

5 0
2 years ago
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