Answer:
√5.
Step-by-step explanation:
Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse = √(1^2 + 2^2) = √5 (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).
so cos A = adjacent / hypotenuse = 2/√5.
and sin A = opposite / hypotenuse = 1 / √5
cos A / sin A = 2/√5 / 1/ √5 = 2.
sin A / (1 + cos A) = 1/√5 (1 + 2/ √5)
= 1 / √5 ( (√5 + 2) /√5)
= 1 / (√5 + 2)
So the answer is:
2 + 1 /(√5 + 2).
We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.
2 + 1 / (√5 + 2)
= 2(√5 + 2) + 1 / (√5 + 2 )
= { 2(√5 + 2) + 1 } / (√5 + 2)
Multiplying this by √5 - 2 / √5 - 2 we get:
(2(5 - 4) + √5 - 2) / (5 -4)
= 2 + √5 - 2 / 1
= √5.
Start with the small triangle on the right:
35 + 96 + x = 180
x = 49
Ah, you already have that. Nice!
Now move to the biggest triangle:
x + 77 + (35+y) = 180
but x = 49, so
49 + 77 + 35+y = 180
y = 19
286
588
300
:) your welcome
Answer:
3/88
Step-by-step explanation:
when multiplying fractions, you can just multiply across. make sure to simplify!
To find the answer we simply have to find 12% of 58,800. So to do that, we can multiply it by .12
58,800 • .12 = 7,056
So $7,056 is earned per year