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:
you basically do the same things just backwards
Step-by-step explanation:
for example 9+9=18 well to double check your work all you do is flip to equation 18-9=9
Answer:
y^2 +7y-30
Step-by-step explanation:
Step 1: Use FOIL
y·y = y^2
y· 10= 10y
-3·y= -3y
-3·10= -30
Step 2: <em>combine like terms</em>
y^2+ 10y-3y-30
7^2+ 7y-30
and thats all :)
hope this helped
Hey there Mejia021274,
1) Independent systems have exactly one solution:
x + y = 1
x - y = 3
x = 2, y = -1
2) Inconsistent systems have no solutions :
5x + y = 6
5x + y = 10
There is no solution as 5x + y cannot be equal to 6 and 10
3) Consistent systems have a lot of solutions:
x+y = 5
<span>2x+2y = 10 </span>
<span>A few solutions to this system are (1,4), (2,3), (3,2), (4,1), (5,0), and so on.
</span>
Hope this helps :))
~Top
THE ANSWER IS 8 DOLLARS BCUZ 80/16 EQUALS 5, AND 5+3 EQUALS 8!!!!
