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Liono4ka [1.6K]
3 years ago
10

How many square feet of outdoor carpet will we need for this hole

Mathematics
1 answer:
Fed [463]3 years ago
4 0

Answer:

40 ft²

Step-by-step explanation:

The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle

✔️Area of triangle 1:

Area = ½*bh

b = 6 - 3 = 3 ft

h = 11 - 7 = 4 ft

Area of triangle 1 = ½*3*4 = 6 ft²

✔️Area of triangle 2:

Area = ½*by

b = 2 ft

h = 3 ft

Area of triangle 2 = ½*2*3 = 3 ft

✔️Area of rectangle = L × W

L = 11 ft

W = 3 ft

Area of rectangle = 11 × 3 = 33 ft

✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²

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Alla [95]

Answers: choice C and choice E

Plugging x = 3 and y = -1 into both equations of choice C lead to a true result (the same number on both sides). This is why the system of equations listed in choice C is one possible answer. Choice E is a similar story.

If your teacher didn't mean to make this a "select all that apply" type of problem, then it's likely your teacher may have made a typo.

3 0
2 years ago
5 1/6 + (7 1/3)l <60
agasfer [191]

Answer:

l

Step-by-step explanation:

Given the inequality

5\dfrac{1}{6}+7\dfrac{1}{3}l

First, convert mixed numbers to improper fractions:

5\dfrac{1}{6}=\dfrac{5\cdot 6+1}{6}=\dfrac{31}{6}\\ \\7\dfrac{1}{3}=\dfrac{7\cdot 3+1}{3}=\dfrac{22}{3}

Now the inequality looks like

\dfrac{31}{6}+\dfrac{22}{3}l

Multiply it by 6:

\dfrac{31}{6}\cdot 6+\dfrac{22}{3}l\cdot 6

7 0
3 years ago
What is the greatest common factor of 60, 45 and 82? HALPPPPPPPPPPPPPPPPPPp
son4ous [18]

Answer:

GCF: 1

Step-by-step explanation:

Factors are numbers that can be evenly divided into another number. The greatest common factor of a set of numbers is the biggest number than can evenly divide into all the the numbers.

Let's list the factors of 60, 45 and 82

Factors of 60:

<u>1</u>, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Factors of 45:

<u>1</u>, 3, 5, 9, 15, 45

Factors of 82:

<u>1</u>, 2, 41, 82

The greatest factor that all 3 numbers share is 1.

4 0
3 years ago
Read 2 more answers
Tomas drew a rectangle with an area of 6 square centimeters. What is the greatest possible perimeter for this rectangle.
Delvig [45]
6 by 1.

This is the greatest because it makes 14 (6+6+1+1), which is greater than 3 by 2, which is only 10. (3+3+2+2)

Hope this helps!
8 0
3 years ago
Question 1-4
aalyn [17]

Answer:

step 2 to step 3

Step-by-step explanation:

step 2

2x - 7 = 3 ( add 7 to both sides )

2x = 10 ( error was made here in that they had - 4 )

7 0
2 years ago
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