Answer:
- x = 8
- 12 = BD
- 23 = BE
- 13 = CE
Step-by-step explanation:
<u>We know that:</u>
- BD = 2x - 4
- DE = 2x - 3 - 2
- BE = 3x - 1
- CE = 2x - 3
<u>Solution:</u>
- (2x - 4) + (2x - 3 - 2) = 3x - 1
- => 2x - 4 + 2x - 3 - 2 = 3x - 1
- => 4x - 9 = 3x - 1
- => 4x - 3x = 9 - 1
- => x = 8
- => 2x - 4 = BD
- => 2(8) - 4 = BD
- => 16 - 4 = BD
- => 12 = BD
- => 3x - 1 = BE
- => 3(8) - 1 = BE
- => 24 - 1 = BE
- => 23 = BE
- => 2x - 3 = CE
- => 2(8) - 3 = CE
- => 16 - 3 = CE
- => 13 = CE
Hence, the answers are:
- x = 8
- 12 = BD
- 23 = BE
- 13 = CE
Answer:
Step-by-step explanation:
Let the numbers be x and y
<h3>Given condition:</h3>
x + y = 48 --------(1)
y = 7x -------------(2)
Put Eq. (2) in (1)
x + 7x = 48
8x = 48
Divide 8 to both sides
x = 48/8
<h3>x = 6</h3>
Put x = 6 in Eq. (2)
y = 7 (6)
<h3>y = 42</h3>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
There are 5 x 10 = 50 different outcomes.
Of them only 3x10, 4x10, 4x9, 4x8, 5x10, 5x9, 5x8, 5x7 and 5x6 are greater or equal than 30. Those are 9 possibilities.
Then 50 - 9 = 41 are the possibilities that the product of the two numbers is less than 30.
The probalility, then, is 41/50 = 0.82
The area of the surface of the pool is 7322.64 m².
<h3>What is Area of rectangle?</h3>
The area of rectangle is product of length and its breadth.
i.e., length * breadth
Given: Length = 100 m, Width = 52 m and Diameter = 52 m
Area of rectangle,
= 100 × 52
= 5200 m²
Now,
Area of semicircle = 1/2 × πr²
=1/2 × 3.14 × 26²
= 1061.32 m²
Hence, area of the surface of the pool is
= 1061.32 + 1061.32 + 5200
= 7322.64 m²
Learn more about this concept here:
brainly.com/question/15461609
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