Answer:
Equilateral triangle implies each angle is 60 degree.
And any median is the altitude.
So, NT perpendicular LM, where T is the midpoint of [ML];
We use the Pythagorean Theorem in right triangle NTL ( NT = h; NL = a;
LT = a / 2 );
h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 = 3a²/4
;
It follows that
h = √(3a²/4) = a√3/2 ≈ 0,866*a;
But, a = 8;
h ≈ 0,866 * 8 ≈ 6,928;
Step-by-step explanation:
Answer:
Step-by-step explanation:
You need to use the quadratic equation
x = ![\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%20%2B%2F-%20%5Csqrt%7Bb%5E2%20-%204ac%7D%20%7D%7B2a%7D)
Givens
x = ![\frac{5 +/- \sqrt{5^2 - 4a*1*3} }{2} \\](https://tex.z-dn.net/?f=%5Cfrac%7B5%20%2B%2F-%20%5Csqrt%7B5%5E2%20-%204a%2A1%2A3%7D%20%7D%7B2%7D%20%5C%5C)
x =( 5 +/- sqrt(25 - 12) ) / 2
x = (5 +/- sqrt(13) )/2
x = (5 + sqrt(13) / 2
x = 4.303 rounded
x = (5 - sqrt(13) ) /2
x = .6972
Answer:
y=0.04
Step-by-step explanation:
It is 66.14g
Moon= (Weight on Earth/9.81m/s2) * 1.622m/s2