Equilateral triangle mean every sides and angles are equal
so the measure of angles is 60 degrees
given that has an altitude of 15 m so this mean that
sin 60 = altitude / hypotenuse
sqrt3 /2 = 15/hyp.
hyp. = 15/(sqrt3 /2)
hyp. = 30/sqrt3 = 30sqrt3 / 3 = 10sqrt3
so in this way ve got that a side length is equal 10sqrt3 and the perimeter
P = 3*10sqrt3
P = 30sqrt3 m so the 3rd choice is right,correct sure
hope helped
Answer:
the answer is b
Step-by-step explanation:
please brainliest
The measure of angle KNL is 102.
Answer:
3.4
Step-by-step explanation:
Standard deviation of a population is defined as:
σ² = ∑(xᵢ − μ)² / n
The standard deviation of a sample is defined as:
s² = ∑(xᵢ − x)² / (n - 1)
It's not clear which one we have, so let's calculate both.
First, we must find the mean.
μ = (5+12+15+10+12+6+8+8) / 8
μ = 9.5
Now we find the squares of the differences:
(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²
= 80
Divide by n:
σ² = 80 / 8
σ² = 10
And take the square root:
σ = √10
σ ≈ 3.2
That's not one of the answers, so let's try the standard deviation of a sample instead of a population.
Instead of dividing by n, we'll divide by n-1:
s² = 80 / 7
And take the square root:
s = √(80/7)
s ≈ 3.4
So that must be it.