Answer:
sin θ = 
Step-by-step explanation:
Given that,
cos θ = 
From the trigonometric functions,
cos θ = 
⇒ adjacent =
, and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
=
+ 
=
+ 
9 = 3 + 
= 9 - 3
= 6
x = 
Thus, opposite side = 
So that,
sin θ = 
= 
Therefore,
sin θ = 
Answer:
It will take the apprentice 24 days working alone
Step-by-step explanation:
Let the number of days it takes the apprentice be x
It will take the landscaper x/3 ( since he is three times faster)
The rate for both will be 60/6 = 10 sq m per day
Rate for apprentice is 60/x
rate for the boss is 60/x/3 = 180/x
Adding the rates together;
60/x + 180/x = 10
240/x = 10
240 = 10x
x = 240/10
x = 24 days
The side length is 2.24 inches.
The area of a square is given by s²; we have
s² = 5
To find the value of s, we take the square root of each side:
√s² = √5
s = √5 = 2.236 ≈ 2.24
Answer:
It is a reflection of the y axis, with 2 units down. :)
Step-by-step explanation: