Tan = opposite side / adjacent so opp = 2 and adj = 7
Now you need to find the hypotenuse of the right angled triangle.
hypotenuse = sqrt (2^2 + 7^2) = sqrt 53
sin theta = opp / hyp and cos theta = adj/hyp
cot theta = adj / opp , sec theta = hyp/adj and cosec theta = hyp/opp.
Answer:
Its a i just took the test
Step-by-step explanation:
The answer is (0,-6)
In step 1 the y intercept should be plotted at (0,-6)
Answer:
Radius r=0.30m, Velocity, v=36m/s
(a) angular speed w=
r
v
=
0.3
36
=120rad/s
(b) final angular speed w
′
=0
From rotational kinematics w
′
2
−w
2
=2αθ
0−14400=2α×40×2π
⇒α=
160π
−14400
=−28.6rad/s
2
'Distance covered
=40×2πr
=40×2π×0.3=75.39m
Answer:
Correct choice is 4.
Step-by-step explanation:
Tyrone determines it takes him 58.2 minutes to travel 30 miles to work, then he travels with speed
![\dfrac{30}{58.2}=\dfrac{300}{582}=\dfrac{50}{97}\ \text{miles per minute}.](https://tex.z-dn.net/?f=%5Cdfrac%7B30%7D%7B58.2%7D%3D%5Cdfrac%7B300%7D%7B582%7D%3D%5Cdfrac%7B50%7D%7B97%7D%5C%20%5Ctext%7Bmiles%20per%20minute%7D.)
If 1 mile = 5,280 feet, then his speed is
![\dfrac{50}{97}\cdot 5280=\dfrac{264000}{97}\ \text{feet per minute}.](https://tex.z-dn.net/?f=%5Cdfrac%7B50%7D%7B97%7D%5Ccdot%205280%3D%5Cdfrac%7B264000%7D%7B97%7D%5C%20%5Ctext%7Bfeet%20per%20minute%7D.)
Since 1 minute = 60 seconds, then his speed is
![\dfrac{264000}{97\cdot 60}=\dfrac{4400}{97}\approx 45.36\ \text{feet per second}.](https://tex.z-dn.net/?f=%5Cdfrac%7B264000%7D%7B97%5Ccdot%2060%7D%3D%5Cdfrac%7B4400%7D%7B97%7D%5Capprox%2045.36%5C%20%5Ctext%7Bfeet%20per%20second%7D.)