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:
C, D
Step-by-step explanation:
I assume your problem statement actually says
x - 54 > -76
x > -22
then the answers
C, D
are part of the solution set.
the others are not.
Answer:
8.11 and 9 1/11
Step-by-step explanation:
The solution to the problem is as follows:
<span>Area=h×w
</span><span>1(1/2) = h × 2 (<span>1/4)
</span></span><span>⟹3/2 = h × <span>9/4
</span></span><span>h = 3/2 ÷ <span>9/4
</span></span><span>Therefore, the height will be 2/3 yards if we use all the blue paint.
</span>
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
The simplification of the polynomial expression will give 3x² - 20x + 8.
<h3>How to illustrate the polynomial?</h3>
The polynomial expression is given as:
(5x² + 13x4) (17x² + 7x - 19) + (5x-7)(3x + 1)
= 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² + 5x - 21x - 7
Then collect like terms
= 5x² + 15x² - 17x² + (13x - 7x + 5x - 21x) - 4 - 7 + 19
= 3x² - 20x + 8.
Learn more about polynomial on:
brainly.com/question/2833285
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