Answer:
The correct answer is first option 60%
Step-by-step explanation:
The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3
<u>To find the area of equilateral triangle</u>
Here side be 'a'
Area of equilateral = √3a²/4
<u>To find the area of circle</u>
Here radius = a/2√3
Area = πr²
= π(a/2√3)
= 3.14a²/12
<u>To find the probability</u>
probability = area of circle/area of triangle
= 3.14a²/12/ √3a²/4
= 3.14/3√3
= 0.6043 ≈ 60.43 % 60 %
The correct answer is first option 60%
Answer:
please transalate
porfavor transalate
Step-by-step explanation:
The answer is 18. Just take the number that comes later and simply subtract from the original number. EXAMPLE- 138-120=18. Hope this helps.
The number of bacteria present after 15 hours is 18928
<h3>How to determine the
exponential equation?</h3>
An exponential equation is represented as;
y = ab^x
Where
a = y, when x = 0
From the table, we have:
y = 1796 when x = 0
So, we have:
y = 1796b^x
Also, we have the point (1, 2097)
This gives
2097 = 1796b^1
Divide by 1796
b = 1.17
Substitute b = 1.17 in y = 1796b^x
y = 1796(1.17)^x
This means that the exponential equation is y = 1796(1.17)^x
After 15 hours, we have:
y = 1796(1.17)^15
Evaluate
y = 18928
Hence, the number of bacteria present after 15 hours is 18928
Read more about exponential equation at:
brainly.com/question/23729449
#SPJ1
Answer:
The length is 26 feet and the width is 23 feet
Step-by-step explanation:
Let l represent the length of the rectangle.
The width can be represented by l - 3, since it is 3 feet less than the length
Set up an equation:
l + l + (l - 3) + (l - 3) = 98
Add like terms and solve for l:
l + l + (l - 3) + (l - 3) = 98
4l - 6 = 98
4l = 104
l = 26
So, the length is 26 feet.
Since the width is l - 3, we can plug this in for l to find the width:
l - 3
26 - 3
= 23
So, the length is 26 feet and the width is 23 feet
