20x2 = 40 in width
180-40= 140
140/2=70
70 inches
Given that two digit numbers are used and one digit is drawn randomly.
Sample space = {10,11,...99}
n(S) = 90
32 is only one number favorable
Hence P(32) = 1/90
----------------------------
Odd numbers are exactly 45.
Hence prob (odd number) = 45/90 = 1/2
-------------------------------------
Multiples of 5 are 10,15,.....95
There are exactly 18 numbers.
Hence P(a multiple of 5) = 18/90 =1/5
Have an amazing day! <3
PEMDAS so (9+15)= 24 , 24/3 = 8 , 8+2 = 10
The fraction of the image in blue with respect to the <em>entire</em> hexagon is
.
<h3>
Estimation of the ratio of the shaded region area to the entire area</h3>
Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:
(1)
Where:
- Area of a type-1 triangle.
- Area of a type-2 triangle.
The formulae for the area of the shaded region (
) and the <em>entire</em> hexagon (
) are, respectively:
<h3>Shaded region</h3>
(2)
<h3>Entire hexagon</h3>
(3)
And the fraction of the image in blue is:



The fraction of the image in blue with respect to the <em>entire</em> hexagon is
. 
To learn more on hexagons, we kindly invite to check this verified question: brainly.com/question/4083236
Answer:
Triangle = 5
Circle = 25
Square = 100
Pentagon = 1600
Rectangle = 155
Step-by-step explanation:
6 x triangle = 3 x 10
Solve for 3 x 10
6 x triangle = 30
Divide both sides by 6
Triangle = 5
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Triangle x 20 = Circle x 4
Substitute triangle for 5
5 x 20 = Circle x 4
Solve for 5 x 20
100 = Circle x 4
Circle = 100 divided by 4
Circle = 25
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Circle + triangle = square minus 70
Substitute Circle and Triangle for their values
25 + 5 = square - 70
Solve for 25 + 5
30 = square - 70
Add 70 to both sides
square = 100
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Square x 8 = 1/2 of pentagon
Substitute square for 100
100 x 8 = 1/2 of pentagon
Solve for 100 x 8
800 = 1/2 of pentagon
Pentagon = 1600
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Pentagon divided by square = rectangle + 5
Substitute pentagon and square for their values
1600 divided by 100 = rectangle + 5
Solve for 1600 divided by 100
160 = rectangle + 5
Subtract 5 from both sides
Rectangle = 155
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Rectangle x rectangle = ?
Rectangle = 155
Rectangle x rectangle = 24025
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