Step-by-step explanation:
law of cosine :
c² = a² + b² - 2ab×cos(C)
with c being the side opposite of C.
so, in our case
3² = 3² + 3²×3 - 2×3×3×sqrt(3)×cos(A)
0 = 3²×3 - 18×sqrt(3)×cos(A)
27 = 18×sqrt(3)×cos(A)
cos(A) = 27/(18×sqrt(3)) = 3/(2×sqrt(3)) =
= 0.866025404...
A = 30°
FYI : since it is an isoceles triangle, C = A = 30°.
and therefore B = 180 - 30 - 30 = 120°.
as the sum of all angles in a triangle is always 180°.
Well if the alloy makes the 1000 grams, but you are dealing with copper that isn't even 100% copper, than you either need 55% more copper, which isn't given, which means you really need 550 grams of alloy copper.
Answer:
600 degrees
10pi/3 rad = 10pi/3 / pi × 180° = 600 degrees.
Let's pose this question a different way: what are the chances that one out of all possible events is going to happen? What are the chances that, if I roll a die, I will roll a 1, 2, 3, 4, 5, or a 6? What is the probability, if I flip a coin, that the outcome will either be heads or tails? When we take every possible outcome and add their probabilities together, the sum of the probabilities will be 100%, or 1.
Example:
Coin Toss:
Prob of Heads (.5) plus Prob of Tails (.5) = 1
Dice roll:
1/6 (odds of rolling any given number) times 6 (number of possibilities) = 1
