Answer:
B
Step-by-step explanation:
Answer:
![m = 10\sqrt 3](https://tex.z-dn.net/?f=m%20%3D%2010%5Csqrt%203)
![n = 10](https://tex.z-dn.net/?f=n%20%3D%2010)
Step-by-step explanation:
Required
Find m and n
Considering the given angle, we have:
![\sin(60) = \frac{Opposite}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%2860%29%20%3D%20%5Cfrac%7BOpposite%7D%7BHypotenuse%7D)
This gives:
![\sin(60) = \frac{m}{20}](https://tex.z-dn.net/?f=%5Csin%2860%29%20%3D%20%5Cfrac%7Bm%7D%7B20%7D)
Make m ths subject
![m = 20 * \sin(60)](https://tex.z-dn.net/?f=m%20%3D%2020%20%2A%20%5Csin%2860%29)
![\sin(60) =\frac{\sqrt 3}{2}](https://tex.z-dn.net/?f=%5Csin%2860%29%20%3D%5Cfrac%7B%5Csqrt%203%7D%7B2%7D)
So, we have:
![m = 20 *\frac{\sqrt 3}{2}](https://tex.z-dn.net/?f=m%20%3D%2020%20%2A%5Cfrac%7B%5Csqrt%203%7D%7B2%7D)
![m = 10\sqrt 3](https://tex.z-dn.net/?f=m%20%3D%2010%5Csqrt%203)
Considering the given angle again, we have:
![\cos(60) = \frac{Adjacent}{Hypotenuse}](https://tex.z-dn.net/?f=%5Ccos%2860%29%20%3D%20%5Cfrac%7BAdjacent%7D%7BHypotenuse%7D)
This gives:
![\cos(60) = \frac{n}{20}](https://tex.z-dn.net/?f=%5Ccos%2860%29%20%3D%20%5Cfrac%7Bn%7D%7B20%7D)
Make n the subject
![n = 20 * \cos(60)](https://tex.z-dn.net/?f=n%20%3D%2020%20%2A%20%5Ccos%2860%29)
![\sin(60) =\frac{1}{2}](https://tex.z-dn.net/?f=%5Csin%2860%29%20%3D%5Cfrac%7B1%7D%7B2%7D)
So, we have:
![n = 20 *\frac{1}{2}](https://tex.z-dn.net/?f=n%20%3D%2020%20%2A%5Cfrac%7B1%7D%7B2%7D)
![n = 10](https://tex.z-dn.net/?f=n%20%3D%2010)
Answer:
B.) 18
Step-by-step explanation:
To find the correct b value we use this formula
b² - 4ac = 0
b = What we are solving for
a = 1
c = 81
b² - 4(1)(81) = 0
b² - 324 = 0
b² = 324
![b = \sqrt{324}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%7B324%7D)
b = ±18
And 18 is one of the answer choices
So B.) 18 is the correct answer.
Answer:
C
Step-by-step explanation:
1/2 is basically like dividing by 2
To find 2/3 of an hour first we will divide 1 hour that is 60 mins into 3parts so we will get 20 mins.