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:
for 2. I don't think it can be a triangle
Answer:14
Step-by-step explanation:
2:3
14:21
in 14 their is 2 7's
in 21 their is 4 7's
Answer:
Standard Deviation, σ = 6.5828058860438
Step-by-step explanation:
<u>Data Set:</u> 20, 11, 27, 13, 29, 20
The total numbers in the data set
Count, N = 6
The sum is all values in the data set is added up
20 + 11 + 27 + 13 + 29 + 20
Sum, Σx: 120
The mean is the sim / N
Mean, μ: 20
There are 13 diamonds in the deck, so 
ways of drawing 3 diamonds.
There is a total of 
ways of drawing any 3 cards from the deck.
So the probability of drawing 3 diamonds is
where 
.
