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Westkost [7]
2 years ago
8

Find the area of the figure. Use 3.14 as π.

Mathematics
2 answers:
Karolina [17]2 years ago
7 0

Answer: D. 94.25 in²

Step-by-step explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

      Area of a circle:

A = πr²

      Use 3.14 for pi:

A = (3.14)r²

      Find the radius:

d / 2 = r, 10 / 2 = 5 in

      Subsittue:

A = (3.14)(5)²

A = 78.5 in²

      Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

      Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

A = 55 in²

[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²

Shkiper50 [21]2 years ago
7 0

Answer:

D. 94.25

Step-by-step explanation:

Hey there! In order to answer this question: you need to take the area of the triangle and the area of half of a circle

The formula for the area of a triangle is: base x height x 1/2

11 x 10 x 1/2 = 55

To find the area of a circle, you have to take the radius, square it, and multiply it by 3.14

So the radius is 5 since 10 is the diameter of the circle

Now we have to square that which is 25

Multiply 25 by 3.14 which is 78.5

Now since we are dealing with a half circle and the area for the whole circle is 78.5, we divide 78.5 by 2 which is 39.25

Now you have to add those two areas and that will get your final answer

55+39.25 is 94.25

So the area for this figure is 94.25 square inches

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Option C) a_{n}=m-b+m(n-1) for n={\{1,2,3,...}\} is not the correct way to define the given infinite sequence

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Step-by-step explanation:

Given infinite sequence is {\{m+b,2m+b,3m+b,4m+b,...}\}

Option B) a_{n}=m-b+m(n-1) for n={\{1,2,3,...}\} is not the correct way to define the given infinite sequence {\{m+b,2m+b,3m+b,4m+b,...}\}

Now verify  a_{n}=m-b+m(n-1) for n={\{1,2,3,...}\} is true for the given infinite sequence

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a_{n}=m-b+m(n-1)

When n=1,  a_{1}=m-b+m(1-1)

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When n=2,  a_{2}=m-b+m(2-1)

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