Answer:
AB = (2+2√3)r
Step-by-step explanation:
All three sides of an equilateral triangle equals 60° each.
Given that the circles are equal and are inscribed in a triangle, the angle bisectors pass right through the center of the circle present in front of that angle.
For example a figure has been attached with the answer, where angle bisectors make a triangle with center of the circle and a perpendicular projection of the center on side AB.
Finding AB:
Let us divide the side AB into three parts. One is the line joining the center of the two circles which is = 2
Then we have two equal parts, each joining one vertices with the center of the circle.
Let us assume that there is a point P on the side AB which forms a line segment PO₁ ⊥ AB.
We have the right angled triangle APO₁. Angle A = 30° PO₁ = r
let the base AP = x
We know that tan 30° = perp/base
1/√3 = r/x
=> x = √3 r
Hence Side AB = √3 r + 2r + √3 r
AB = (2+2√3)r
Answer:
The decimal form of 
.
Step-by-step explanation:
We proceed to find the decimal form of 
, whose description is found below:
1) Multiplying the numerator by 100 and dividing it by 15:
Partial result: 0.06, Remainder: 10
2) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.066, Remainder: 10
3) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.0666, Remainder: 10
Since the decimal number is a infinite and periodical, we conclude that decimal form of .
Answer:
0.4906 or 49.06%
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<em>Missing Information:</em> I have attached the missing table showing the data obtained from the poll taken from respondents
Step-by-step explanation:
Using the data,
the number of people who do not think there will be an impact of global warming during their lifetime = 131
Number of People who think there will be impact = 134
Number of People who are unsure = 2
Total no. of people = 131 +134 +2 = 267
Probability that respondent 18-29 years age thinks global warming won't pose a threat during his/her lifetime = P
Probability = P = 
Probability = P = 
= 0.4906 or 49.06 %
The answer is (4, -6), or the fourth option.
