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Marysya12 [62]
3 years ago
7

Find the exact area of a circle with a dimeter of 5 yards. Use 3.14 for pi

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

A = 6.25(pi)

A ~ 19.63495

Step-by-step explanation:

The formula for finding the area of a circle is;

A = (pi)r^2

Where (A) represents the area of the circle, (pi) represents the value (3.1415...) and (r) represents the radius of the circle. As per its definition, the diameter is the largest cord or line segment that can be drawn through a circle, the diameter always passes through the center of a circle. The radius ( a line segment that can be drawn from the center of the circle to any side of the circle) is always half of the diameter.

This means that the radius for the given circle is (2.5), since (5÷2=2.5)

Substitute these values into the equation and solve for the area of the circle.

A = (pi)r^2\\\\A = (pi)(2.5)^2\\\\A = (pi)6.25\\

A ~ 19.63495

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Given the parent function f(x) = 8x + 9, rewrite the function after the following transformation: reflect over the x-axis. Group
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Given:

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Solution:

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g(x)=-(8x+9)

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The function after the reflection over the x-axis is g(x)=-8x-9.

Therefore, the correct option is B.

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3 years ago
The area of a rectangle is 27 m^2 , and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the
vagabundo [1.1K]
Let L be the length of the rectangle and W be the width. In the problem it is given that L=2W-3. It is also given that the area LW=27. Substituting in the length in terms of width, we have W(2W-3)=27 \\ 2W^2-3W-27=0 \\ (2W-9)(W+3)=0. Using the zero product property, 2W-9=0 \text{ or } W+3=0. Solving these we get the width W=4.5 \text{ or } -3. However, it doesn't make sense for the width to be negative, so the width must be \boxed{4.5 \text{ m}}. From that we can tell the length L=2(4.5)-3=\boxed{6 \text{ m}}. 
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One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

Calculations 

c² = α² + β²

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<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
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