Answer:
x = 9
Step-by-step explanation:
Jane writes 7x
Andrew writes 5x + 18
The 2 expressions are equal , so
7x = 5x + 18 ( subtract 5x from both sides )
2x = 18 ( divide both sides by 2 )
x = 9
Answer:
−π
----
4
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.
There are three outcomes of 4 out of eighteen outcomes, so the fraction of angle of spinner numbered 4 is
15 min...................
Answer:
6.32
Step-by-step explanation: