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Black_prince [1.1K]
2 years ago
9

PLEASE HELP I WILL MARK YOU BRAINLIEST. FIND THE AREA

Mathematics
1 answer:
Mandarinka [93]2 years ago
7 0

Answer:

<em>The family will need to purchase 187 square ft carpeting.</em>

Step-by-step explanation:

<u>Area of Rectangles</u>

Given a rectangle with width W and length H, the area is calculated as follows:

A = W * H

The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.

The total area of the carpet is the sum of the areas of three rectangles.

The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:

A1 = 3 ft * 20 ft = 60 square ft

The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:

A2 = 3 ft * 17 ft = 51 square ft

The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:

A3 = 4 ft * 19 ft = 76 square ft

The total area of the carpet is:

A = 60 square ft + 51 square ft + 76 square ft

A = 187 square ft

The family will need to purchase 187 square ft carpeting.

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3 years ago
Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ
liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

  • Mx(x,y) = d/dx 8x²y = 16xy
  • Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2

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4 0
3 years ago
Helppppppppppppppppppppppppppppppppppppppppp
mojhsa [17]

<u><em>Answer:</em></u>

<u><em>$55.93 or rounded up is $56</em></u>

<u><em>Division</em></u>

<u><em>First, we would divide 15.98 by 2 to see how many dollars would a bag cost.</em></u>

<u><em>15.98 divided by 2 = $7.99</em></u>

<u><em>Multiplication</em></u>

<u><em>Then, we would multiply by 7 to see how may dollars would it cost for 7 kg bag</em></u>

<u><em>7.99 times 7 = 55.93</em></u>

<u><em>Round-up</em></u>

<u><em>If we round it up, we get $56.</em></u>

<u><em>Request</em></u>

<u><em>Please give me brainliest :)</em></u>

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2 years ago
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-1/9 is the answer

8 0
3 years ago
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