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never [62]
4 years ago
14

Carroll’s is putting a border around the edge of a rectangular bulletin board. One side of the bulletin board measures 2 feet an

d the another side measures 4 feet. Is 10 feet of border enough? Explain answer.
Mathematics
1 answer:
guapka [62]4 years ago
4 0
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

First let's establish that the problem requires the border to be as long as the total perimeter of the rectangular bulletin board.

Therefore:

Total length of border = Perimeter of rectangular bulletin board

As a rectangle has a total of four sides with two equivalent longer sides and two equivalent shorter sides, we must multiply the value of each of the two sides by two.

Total length of border = 2 ( 2 ) + 2 ( 4 )

Total length of border = 4 + 8

Total length of border = 12 feet

12 > 10

ANSWER:

Therefore, 10 feet of border isn't enough.

Please mark as brainliest if you found this helpful! :)
Thank you <3
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1000 households were surveyed. 275 households own a desktop computer, 455 households own a DVD player, 405 households own two ca
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Answer:

Step-by-step explanation:

From the given information,

Suppose

X represents the Desktop computer

Y represents the DVD Player

Z represents the Two Cars

Given that:

n(X)=275

n(Y)=455

n(Z)=405

n(XUY)=145

n(YUZ)=195

n(XUZ)=110

n((XUYUZ))=265

n(X ∩ Y ∩ Z) = 1000-265

n(X ∩ Y ∩ Z) = 735

n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)

145 = 275+455 - n(X ∩ Y)

n(X ∩ Y) = 585

n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)

195 = 455+405-n(Y ∩ Z)

n(Y ∩ Z) = 665

n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)

110 = 275+405-n(X ∩ Z)

n(X ∩ Z) = 570

a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)

n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735

n(X ∪ Y ∪ Z) = 50

c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)

n(X ∪ Y ∪ C') = 145-50

n(X ∪ Y ∪ C') = 95

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