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madreJ [45]
3 years ago
9

Find the area if the composite shape

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

111 m²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.

The area of a rectangle = length * width

For rectangle 1, length = 12 m, width = 3 m

Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²

For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m

Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²

For rectangle 3, length = 15 m, width = 3 m

Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²

Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²

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Solve the equation for x: c a−x/x−a =5x Answer: , a ≠ − 1/5
meriva

Answer:

\large\boxed{x=-\dfrac{1}{5}}

Step-by-step explanation:

\dfrac{a-x}{x-a}=5x\\\\\dfrac{(a-x)}{-(a-x)}=5x\qquad\text{cancel}\ (a-x)\\\\-1=5x\qquad\text{divide both sides by 5}\\\\-\dfrac{1}{5}=\dfrac{5x}{5}\to\boxed{x=-\dfrac{1}{5}}

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3 years ago
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Answer:

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Step-by-step explanation:

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7 0
2 years ago
Rosie washes clothes for two families the first family pays her $500 more per month than the second. Her total earning per month
disa [49]

Answer:

  • Family 1:  $1.850
  • Family 2: $1.350

Step-by-step explanation:

We know that the total monthly payment is 3200, so if we call Pa (family A`s payment) and Pb (Family B's payment) the payments:

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So if we replace Pa in the first ecuation:

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then Pa+Pb=3200 => Pa= 3200-1350= $1.850

Good Luck!

8 0
3 years ago
Dr. Goodrich wanted to demonstrate that his tires were better than those of his competitor, Dr. Goodyear. From car registration
dem82 [27]

Answer:

Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving

Step-by-step explanation:

Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.

Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear

  • Dependent Variable is the 'Tire tread wear '.
  • Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc

Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.

In this case : Individuals driving the vehicles could be a confounding variable. A  particular person could wear out tire more than another person.  

6 0
3 years ago
The car dealership kept track of how many cars they sold each week for 6
Arisa [49]

Answer:

75

Step-by-step explanation:

75+88+34+88+64+101 =450

450/6 = 75  

add each week together, then divide by the total number of weeks

4 0
3 years ago
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