Answer:
0.249
Step-by-step explanation:
tan(theta) = opposite / adjacent (according to the SOH CAH TOA rule), which effectively means y/x in this case.
So -0.242 / -.970 ≈ 0.249
Other explanation:
On a unit circle,
y = sin(θ)
and
x = cos(θ).
And since, tan = sin/cos, tan(θ) = y/x. You y and x are given, so calculating tan is a matter of dividing them.
Answer:
x = 15 or x = -19
Step-by-step explanation:
ΔPQR similar to ΔSQT
SQ / QP = ST / PR
8 / 8+x+5 = x-9 / 21
8 / 13+x = x-9 / 21
(x+13)(X-9) = 168
x² + 4x - 117 = 168
x² + 4x - 285 = 0
(x - 15) (x + 19) = 0
x = 15 or x = -19
first, find the circumference of the circle
2πr = 2π × 5
= 31.42 ft
then multiply the circumference with the angle given which is 50° divided by 360°.
31.42 × 50 ÷ 360 = 4.36 ft
answer = 4.36 ft
also can I get brainliest...plsss
Answer: (-31.09 mi, -20.97 mi)
Step-by-step explanation:
If the noon is our initial time, then we have that 2:30 pm is t = 2.5 hours.
Now, the position (x, y) of the ship can be writen as:
(velocity*time*cos(angle), velocity*time*sin(angle))
or:
(15mph*t¨*cos(214°), 15mph*t*sin(214°))
then the position at t = 2.5 hours is:
(15mph*2.5h*cos(214°), 15mph*2.5h*sin(214°))
(-31.09 mi, -20.97 mi)
Answer:
4,6 I'm pretty sure the y-axis comes first then the x