Answer:
x = 10√3
Step-by-step explanation:
Because of the right angles, we can use Pythagoras
30² - x² = y² (a) Largest triangle
y² - 20² = h² (b) Medium triangle
substitute y² from (a) into (b)
30² - x² - 20² = h²
500 - x² = h² (d)
x² - h² = (30 - 20)² (c) smallest triangle
substitute h² from (d) into (c)
x² - (500 - x²) = 100
2x² = 600
x² = 300
x = 10√3
Answer:
1) Brazil - 190,000,000
2) Egypt - 77,000,000
3) Australia - 20,000,000
4) Singapore - 4,400,000
5) Luxembourg - 470,000
It’s the 2nd your welcome
You have to find the cos of angle A, so use the Pythagorean equation and trig laws to find the other side of the triangle created by angle A. 3^2 + x^2 = 5^2. x=4. This means cos(A) = 4/5). Make both cos (A) and cos (B) have equal denominators, and add. 148/185 + 60/185 = 208/185. This answer is correct, though it doesn’t appear to be any of the answers you wrote, so either those answers are wrong or you wrote something incorrectly in the problem.
If we have a common ratio every set amount of time (and not a common difference or addition), this is an exponential relationship. An exponential equation would have a form like Money = (1000)(2)^(# of months), where every additional month would cause the money amount to double.
