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.
Answer:
(0,1)
Step-by-step explanation:
This is because (0,1) is right on the line, while the other choices are inside of the blue shaded area.
If this answer is correct, please make me Brainliest!
Answer:
I'll find X for you; the next step is by you.
Step-by-step explanation:
we have two similar pentagons
I will do it in 2 ways.
1.
=> 48/4x = (x+2)/x
=> 12/x = (x+2)/x
Because of pentagons so x > 0
=> 12 = x + 2 => x = 10
2.
k is unknown number
=> 4x = k.x and 48 = k.(x + 2) (x > 0)
=> k = 4 and 48 = 4.(x + 2)
=> 12 = x + 2 => x = 10
