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.
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Answer:
-21x + 3y + 10
Step-by-step explanation:
10 - 4x + 3y - 17x
= -4x - 17x + 3y + 10
= -21x + 3y + 10
Answer:
1 1/100
Step-by-step explanation:
The correct interpretation of the probability P(X < 5) is; 0.8
<h3>How to Solve Probability?</h3>
We are given the probability of the spin values are;
Probability of Spin Value of 0 = 0.4
Probability of Spin Value of 1 = 0.2
Probability of Spin Value of 2 = 0.2
Probability of Spin Value of 5 = 0.1
Probability of Spin Value of 10 = 0.1
P(X < 5) simply means the probability of getting a spin value less than 5. Thus;
P(X < 5) = P(0) + P(1) + P(2)
P(X < 5) = 0.4 + 0.2 + 0.2
P(X < 5) = 0.8
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The answer is 79 degrees.