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Nostrana [21]
3 years ago
12

1. Calculate the area of the figure below. Round to the hundredths place when necessary.

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:

The area is 88.39 cm

Step-by-step explanation:

Here, we want to find the area of the semicircle given that the diameter of the semi circle is 15 cm

We start by getting the radius

Mathematically r = D/2

= 15/2 = 7.5

Area of semicircle is area of circle/2

= (pi * r^2)/2

= (22/7 * 7.5^2)/2 = 88.39 cm

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The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0)
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Using a linear function, it is found that the product rs is rs = 81.

<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.

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

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x = 4.5/0.25

x = 18

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f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

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

#SPJ1

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2 years ago
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