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serg [7]
2 years ago
9

What is the area of this trapezoid A 50 in² B 108 in² C 126 in² D 192 in²​

Mathematics
1 answer:
svetoff [14.1K]2 years ago
8 0

Answer:

C 126 in²

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h

b1 is the bottom base length = 12 inches

b2 is the top base length = (2+12+2) = 16 inches

h = height = 9 inches

A = 1/2 (12+16) *9

A = 1/2(28)(9)

A =126 in^2

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Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the <u>base salaries as the intercept and the commissions as the slope</u>, the functions are given by:

  • A(x) = 10000 + 0.09x.
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To produce a larger income in option A, it is needed that:

A(x) > B(x).

Hence:

10000 + 0.09x > 20000 + 0.04x

0.05x > 10000

x > 10000/0.05

x > 200,000

More can be learned about linear functions at brainly.com/question/24808124

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3 0
2 years ago
The points (0 1) and (1 4) are contained in the graph of an equation with only two variables x and y
Blababa [14]

The line that passes through (0 1) and (1 4) is a linear equation

The equation of the points is y = 3x + 1

<h3>How to determine the equation of the points?</h3>

The points are given as:

(x,y) = (0 1) and (1 4)

Start by calculating the slope (m)

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m = (4 - 1)/(1 - 0)

Evaluate

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The equation is then calculated as:

y = m(x - x₁) + y₁

This gives

y = 3(x - 0) + 1

Evaluate the product

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Hence, the equation of the points is y = 3x + 1

Read more about linear equations at:

brainly.com/question/1884491

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2 years ago
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Answer:

A.

Step-by-step explanation:


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2 years ago
Danella makes $13 an hour. If she makes time and half in overtime, what is her overtime rate?
dlinn [17]

Answer:

Her overtime rate would be $19.5.

Step-by-step explanation:

Half of 13 is 6.5. If you add that to the $13 she makes, it would be $19.5.

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