All of the following are non-renewable resources except
O natural gas
O oil
O minerals
O <em>water ✓ </em>
- <em>Water </em><em>is </em><em>a </em><em>renewable </em><em>source </em><em>because </em><em>evaporation </em><em>and </em><em>condensation </em><em>takes </em><em>place </em><em>everytime </em><em>on </em><em>our </em><em>planet</em>
Answer: A (
,309.8°)
B (2
, 315°)
C (
, 26.56°)
Explanation: To transform rectangular coordinates into polar coordinates use:
and ![\theta=tan^{-1}(\frac{y}{x})](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%28%5Cfrac%7By%7D%7Bx%7D%29)
For point A:
![r=\sqrt{(-5)^{2}+6^{2}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B6%5E%7B2%7D%7D)
![r=\sqrt{61}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B61%7D)
![\theta=tan^{-1}(\frac{6}{-5})](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%28%5Cfrac%7B6%7D%7B-5%7D%29)
![\theta=tan^{-1}(-1.2)](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%28-1.2%29)
°
Point A is in the II quadrant, so we substract the angle for 360° since it is in degrees:
![\theta=360-50.2](https://tex.z-dn.net/?f=%5Ctheta%3D360-50.2)
309.8°
Polar coordinates for point A is (
, 309.8°)
For point B:
![r=\sqrt{2^{2}+(-2)^{2}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B2%5E%7B2%7D%2B%28-2%29%5E%7B2%7D%7D)
![r=\sqrt{8}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B8%7D)
![r=2\sqrt{2}](https://tex.z-dn.net/?f=r%3D2%5Csqrt%7B2%7D)
![\theta=tan^{-1}(\frac{-2}{2} )](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%28%5Cfrac%7B-2%7D%7B2%7D%20%29)
![\theta=tan^{-1}(1)](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%281%29)
°
Point B is in IV quadrant, so:
![\theta=360-45](https://tex.z-dn.net/?f=%5Ctheta%3D360-45)
315°
Polar coordinates for point B is (
, 315°)
For point C:
![r=\sqrt{(-6)^{2}+(-3)^{2}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%28-6%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D)
![r=\sqrt{45}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B45%7D)
![r=3\sqrt{5}](https://tex.z-dn.net/?f=r%3D3%5Csqrt%7B5%7D)
![\theta=tan^{-1}(\frac{-3}{-6} )](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%28%5Cfrac%7B-3%7D%7B-6%7D%20%29)
![\theta=tan^{-1}(0.5)](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%280.5%29)
26.56°
Polar coordinates for point C is (
, 26.56°)
Answer:
swimming, cycling, and jogging
Explanation:
The speed increases, because as the angle increases (the wing slants up more steeply), the air has to go farther to get over the wing.
Answer:
143
Explanation:
Using one of the 3 fundamental equations in physics, y=vo*t+1/2gt^2, we can use this equation to find the total distance that was traveled.
Acceleration due to gravity is always 9.8m/s^2 and time is 5.4s, we also have no initial velocity.
Given this, we can plug in the known variables.
y=0t+1/2*9.8*5^2
simplify,
y=4.9*5.4^2
y=4.9*29.16
y=142.884m which we can round up to 143 meters
Final Answer: 143 meters