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Mademuasel [1]
3 years ago
11

Label the center of your circle, “A.” Draw two different radii and label them. Next, draw a diameter and label it “diameter.” Te

ll what is the relationship between the radius and the diameter? Draw a different chord that is not a diameter and label it “chord.” Compare the length of the chord with the length of the diameter. Which one is longer? What is the longest chord that can be drawn across the inside of a circle?
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0
*radius is half diameter (or you can say) diameter is double of radius
* diameter is longer than the chord
*the longest chord is diameter
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Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

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The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
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