Answer: A = (27/4)√3 in²
Explanation:
You are required to calculate the area, A, of an equilateral triangle, when you know its radius is 3 inches.
The radius of an equilateral triangle is the radius of the cirscumscribed circle.
The equilateral triangle has several characteristics which can be geometrically deduced:
- Three congruent sides (by definition)
- Three 60° internal angles
- If you call the length of the sides x, and the radius of the circumscribed circle r, then:
r = x √3 / 3 ⇒ x = r√3
Area = [√3 / 4] x²
- Combining the two previous relations, you deduce:
Area = [3 √3 / 4] r²
By substituting the given radius, you find the area of the equilateral triangle:
Area = [3 √3 / 4] x² = [3 √3 / 4] (3 in)² = 27√3 / 4 in²
You can use the vertical angles theorem to find the value of x.
2x+84=5x
84=3x
x=28
Now, since <TSV and >PSV are linear pairs, you can add PSV and TSV. To do this, you have to find the value of PSV.
PSV=5x
x=28, so PSV = 5(28)
PSV=140°.
Now, find TSV.
180°-140°=40°
m<TSV=40°, or B.
1. C irrational
2. B Rational, integer
3. D 3.14...
Answer:
it is a commutative property
Answer:
K=20
Step-by-step explanation:
There seem to be no randomness in the question.
At 1 per minutes the arrival rate is fixed.
Then compute the average cost for each person to give a four, adding the cost of guide and time waiting cost..
Therefore, K is the number of people hoping will show up.
Number of per minute waiting
= 1/2(K-1)K.
Tour cost 20+1/20(K-1).
Cost per guest= 20/k +1/20(K-1)
If the derivative is set to Zero
K=20
