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Vilka [71]
4 years ago
10

Which of the following is the best approximation of the area of a circle whose diameter is 14 feet?

Mathematics
1 answer:
Ray Of Light [21]4 years ago
8 0
Area of a circle is pi x r^2

R = d/2 = 14.2 = 7

Area = 3.14 x 7^2
Area = 3.14 x 49
Area = 153.86 round to 154

Answer is 154 square feet.
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Which coordinate pair represents the reflection of Point A across the y-axis?
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Step-by-step explanation:

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3 years ago
Let c be the curve which is the union of two line segments, the first going from (0, 0) to (4, 4) and the second going from (4,
victus00 [196]
First of all we need to find a representation of C, so this is shown in the figure below.

So the integral we need to compute is this:

I=\int_c 4dy-4dx

So, as shown in the figure, C = C1 + C2, so:

I=\int_{c_{1}} (4dy-4dx)+\int_{c_{2}} (4dy-4dx)=I_{1}+I_{2}

Computing first integral:

c_{1}: y-y_{0}=m(x-x_{0}) \rightarrow y=x

Applying derivative:

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Substituting this value into I_{1}

I_{1}=\int_{c_{1}} (4dx-4dx)=\int_{c_{1}} 0 \rightarrow \boxed{I_{1}=0}

Computing second integral:

c_{2}: y-y_{0}=m(x-x_{0}) \rightarrow y-0=-(x-8) \rightarrow y=-x+8

Applying derivative:

dy=-dx

Substituting this differential into I_{2}

I_{2}=\int_{c_{2}} 4(-dx)-4dx=\int_{c_{2}} -8dx=-8\int_{c_{2}}dx

We need to know the limits of our integral, so given that the variable we are using in this integral is x, then the limits are the x coordinates of the extreme points of the straight line C2, so:

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Finally:

I=\int_c 4dy-4dx=0-32 \rightarrow \boxed{I=-32}
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1,200 x .125 = 150


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