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:
Step-by-step explanation:
difference of a number and 9 means to subtract
twice that means multiply by 2
at least is greater than or equal to
Answer:
y+7 = -3 ( x-4)
Step-by-step explanation:
First find two points on the graph to find the slope
( 1,2) and ( 3,-4)
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( -4-2)/(3-1)
= -6/2
=-3
We can use the point slope form
y - y1 = m(x-x1) where m is the slope and x1,y1 is a point on the line
We have two choices with a slope of -3
We can either use and x coordinate of -2 or 4
for -2, the y coordinate is not shown
for 4 , the y coordinate is -7
Using ( 4, -7) and m = -3
y--7 = -3( x- 4)
y+7 = -3 ( x-4)
answer: 60
age difference is 30 years
10x4=40
40-10=30
when she is 30 he will be 60 because 30(her age) + 30 (age difference) = 60
Answer:
18.75 gallons of ice
Step-by-step explanation:
I divided the 2.5 gallons of ice by the number of buckets (4) it filled to determine how many gallons of ice are in each bucket.
2.5 / 4 = 0.625
I then multiplied the amount of ice it takes to fill a bucket (0.625) by 30 buckets to get 18.75 gallons of ice.
