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4 years ago

Calculate the area of the shape below:

Mathematics

1 answer:

AVprozaik [17]4 years ago

6 0

Answer:

Step-by-step explanation:

The square in the middle = 36, as 6x6=36

There are 2 triangles on each side of the center square.

Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.

3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2

18x1/2 is 9.

Each triangle equals 9.

36+9+9=54

The final answer is 54

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3 years ago

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If f(2)=9 and f(-1)=14, write a linear function that fits this scenario. Be sure to use proper notation. HELP!!

olya-2409 [2.1K]

Answer:

The required linear function is: f(x) = $\frac{-5}{3}x + \frac{37}{3}$

Step-by-step explanation:

We are given that f(x) is a linear function and it takes the value 9 when x = 2 and 14 when x = -1.

Now the general form of any linear function is: f(x) = ax + b.

Substituting these values in the general form we get:

f(2) = 9 = 2a + b

f(-1) = 14 = -a + b

Solving these two equations we get:

b = 37/3

Substituting this in the second equation to find 'a'.

a = -5/3

Therefore, the function f(x) = $\frac{-5}{3}$ x + $\frac{37}{3}$ .

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3 years ago

The Candy Shack sells 138 pounds of candy on Tuesday. They sold 71.76 pounds of jelly beans. What percent of the candy sold was

Pepsi [2]

Answer:

<h2>52% were jelly beans!</h2>

Explanation:

Cross multiply the following:

$\frac{x}{100} = \frac{71.76}{138}$

x times 138 = 138x

100 times 71.76 = 7,176

Divide both sides by 138:

$\frac{138x}{138} = \frac{7176}{138}$

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3 years ago

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