Answer:
read below
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
the answer is m=-3n-5/2 or n=2m+5/6
2,213,000, 6 is closer to 10 than 0.
Answer:
243,000 people
Step-by-step explanation:
First, what we need to do is to calculate the area of the region using the 5-mile radius
Mathematically, we can calculate this as the area of a circle
Area = pi * r^2
Our r here is 5 miles
Area = pi * 5^2 = pi * 25 = 78.54 square miles
Now to get the population, we know that per square mile we have 3,100.
Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people
To the nearest thousand, 243,000
The length of the concrete patio is 6 1/2.
I got this answer by dividing 36 5/6 and 5 2/3. Therefore, answer is 6 1/2
