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:
hours is closest to 2 hours.
Step-by-step explanation:
We have been given three numbers and we need to decide which of the three numbers is closest to 2.
In order to decide that, we will convert each of the given numbers into decimals and then we will compare.

Upon comparing 2.750, 2.375 and 2.600 we know that 2.375 is closest to 2. Therefore, out of the given three numbers,
is closest to 2.
Answer:
Number of years between 1950 and 2100 =

150 = 50 + 50 + 50 years.

So, total population in 2100 is 375,000,000.
i'ma go with Constant on the first box
second box i think( again terrible at this) is selemas initial distance from home