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stepan [7]
2 years ago
10

In the diagram at the left, O is the center of the circle, MNOP is a rectangle, and the area of the circle is 100π. What is the

length of diagonal of the rectangle?
Mathematics
1 answer:
RUDIKE [14]2 years ago
4 0

The length of the diagonal of the rectangle will be 14.142 units.

<h3>What exactly is a rectangle?</h3>

It has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.

Rectangle diagonals are equally equal and meet at the midpoint.

O is the circle's center, MNOP is its rectangle, and the circle's area is 100 in the diagram to the left.

Area of circle=πr²

100 π= πr²

r= 10 units

The length of the rectangle is equal to the radius of the circle is 10 units. The length of the diagonal is √2  times the side of the rectangle;

L=√2 R

L=1.414×10

L=14.14

Hence the length of the diagonal of the rectangle will be 14.142 units.

To learn more about the rectangle,  refer to the link brainly.com/question/13747846.

#SPJ1

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Tim,Griff and Kay baked chocolate for Kay s birthday party.Tim baked 3 times as many as Kay.Griff baked half as many as Tim.Alto
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Answer: 48

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Define the number of cakes they baked in term of x
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Let the number of cakes Kay baked be x

Kay = x
Tim = 3x                ← Tim baked 3 times as many as Kay
Griff = 1.5x            ← Griff baked 1/2 as many as Tim

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Construct the equation and solve for x
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The total number of cakes baked was 88.

x + 3x + 1.5x = 88        ← Combine like terms
5.5 x = 88                     ← Divide by 5.5
÷5.5    ÷5.5
x = 16

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Find the number of cakes each baked
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Kay = x = 16
TIm = 3x = 16 x 3 = 48
Griff = 1.5x = 1.5(16) = 24

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Answer: Tim baked 48 cakes.
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