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%
The answer would be 28.
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Here's my work:
Remember PEMDAS:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Also, remember to always go left to right.
(6+2)^2-4*3
Square everything in the parenthesis.
36+4-4*3
Multiply where you see a multiplication symbol from left to right.
36+4-12
Add.
40-12
Subtract.
28
Done!
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I hope I was able to guide and help you on this.
Well I'm assuming that you want me to simplify the fraction 40/6. Since 40 can go into 6 multiple times, this fraction is going to be a mixed number.
40/6 in simplest form is 6 2/3. Hope I helped!
Slope = (10-1)/(1+2) = 9/3 = 3
y = mx + b
1 = 3(-2) +b
1 = -6 + b
b = 7
equation
y = 3x + 7
or
3x - y = -7
answer is <span>3x − y = −7 (first choice)</span>
It is 15100. First 0 is no important.
