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.
2,250 m from his starting point.
Just turn 3.5 into 3500.
Then subtract 3500 by 1250. And the tiger ran 2250 m.
Answer:
v = 8
Step-by-step explanation:
-10= -5/4v first multiply both sides of the equation by -4/5
-10(-4/5) = v this cancels out the right side.
multiply the left side.
so you are left with 40/5 = v
next, simplify you will get 8=v
Answer:
<h2>C. g(x) = x - 6</h2>
Step-by-step explanation:
For a parent function y = f(x) and n > 0:
f(x) + n : move the graph n units up
f(x) - n : move the graph n units down
f(x + n) : move the graph n units to the left
f(x - n) : move the graph n units to the right
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We have
f(x) = x
Transformation: 6 units down
f(x) - 6 = x - 6
