Answer:
It is C - buy from a reputable website
Step-by-step explanation:
I got it right on the quiz. Good luck and may the Lord bless you!
Answer:
c =9.7 cm
Step-by-step explanation:
Law of sines:
sin (82) / c = sin(55) / 8
0.9903 / c = 0.8192 / 8
c = 0.9903 * 8 / 0.8192
c =9.7 cm
Answer:
![\sin \frac{3\pi}{2} = -1](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%3D%20-1)
![\cos\frac{3\pi}{2} =0](https://tex.z-dn.net/?f=%5Ccos%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%3D0)
Step-by-step explanation:
Please refer to the image attached.
Here we have a circle with unit radius. At some angle Ф the radius = 1 , and it is the hypotenuse (shown by green line in the image attached) of the ΔPQR thus formed. As our angle Ф increases, the hypotenuse gets closer to the positive y axis and at 90°, it overlap the y axis. Hypotenuse (H) and Opposite site (O) becomes same and Adjacent (A) becomes 0.
As our angle move further and reaches 180, the Hypotenuse and adjacent becomes same and overlap negative x axis. As we move further at 270 i.e
, the hypotenuse and opposite side overlap on y axis and Adjacent side become 0. However the opposite side becomes negative here .
Our sine ratio says
![\sin \frac{3\pi}{2} =\frac{opposite}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%3D%5Cfrac%7Bopposite%7D%7BHypotenuse%7D)
![\sin \frac{3\pi}{2} =\frac{-1}{1}](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%3D%5Cfrac%7B-1%7D%7B1%7D)
![\sin \frac{3\pi}{2} =-1](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%3D-1)
Hence we have our ![\sin \frac{3\pi}{2} = -1](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%3D%20-1)
Now
![\cos\frac{3\pi}{2} =\frac{Adjacent}{Hypotenuse}](https://tex.z-dn.net/?f=%5Ccos%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%3D%5Cfrac%7BAdjacent%7D%7BHypotenuse%7D)
Adjacent as we discussed is 0 at ![\frac{3\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Cpi%7D%7B2%7D)
![\cos\frac{3\pi}{2} =\frac{0}{1}](https://tex.z-dn.net/?f=%5Ccos%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%3D%5Cfrac%7B0%7D%7B1%7D)
![\cos\frac{3\pi}{2} =0](https://tex.z-dn.net/?f=%5Ccos%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%3D0)
Answer:
At both 0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.
Step-by-step explanation:
We can use two approaches to finding the answer: Calculation and Graphing.
<u>Calculation:</u>
Set h to 20 feet and solve the equation using the quadratic formula.
h= 4 + 33t - 16t^2
20= 4 + 33t - 16t^2
- 16t^2 + 33t + 4 = 20
- 16t^2 + 33t + -16 = 0
Solve using the quadratic formula. I find solutions of 0.779 and 1.28 seconds.
<u>Graphing:</u>
See the attached graph.
The ball is at 20 feet at 0.783 seconds on the way up and 1.28 seconds on the way back down.
===
Both approaches agree: 0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.
Answer:
12 units
Step-by-step explanation:
Point B is the midpoint of AC, and it is 6 units from C. Therefore A must be 12 units from C.
AC = 12 units