From trigonometry we know that:
if 
then, 
(where 
is an integer)
This can be rewritten in degrees as:
.............(Equation 1)
Now, in our case, 
Therefore, (Equation 1) can be written as:
..........(Equation 2)
Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of 
that match.
For n=2, (Equation 2) gives us: 
.
Thus, 
Now, we know that: 
Let n=-1, then:
Thus, 
Likewise, 
Only the last option 
will never match 
because no integral value of will ever give 
Thus the last option is the correct option.
Answer:
x=5
Step-by-step explanation:
Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.
Since the two legs have equal length, they are both x. Using the pythagorean theorem:
(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).
You can add (x^2) and (x^2) because they are the same terms (x squared).
Simplifying like so gives you:
2x^2=50
Dividing by two on both sides:
x^2=25
Taking the square root of both sides:
x=5
Answer:
sleeping the floor and vacuuming
-5 is the same as -5/1
Flip the fraction:
-1/5
2/9 / 1/4
Flip the 2nd fraction and multiply:
2/9 * 4/1
Multiply the numerators and denominators:
8/9
let h = horse, let c = cow, let p = pig
so,
hcp
hpc
cph
chp
phc
pch
so, that is 6 different ways she can arrange it.
