Answer:
6.5 ft ft
Step-by-step explanation:
Angle L will be 180-90-76=14
Using the sine rule ![\frac {A}{sina}=\frac {B}{sinb}=\frac {C}{sinc}](https://tex.z-dn.net/?f=%5Cfrac%20%7BA%7D%7Bsina%7D%3D%5Cfrac%20%7BB%7D%7Bsinb%7D%3D%5Cfrac%20%7BC%7D%7Bsinc%7D)
Relating to the above set up
![\frac {ML}{sin76}=\frac {27}{sin90}=\frac {KM}{sin14}](https://tex.z-dn.net/?f=%5Cfrac%20%7BML%7D%7Bsin76%7D%3D%5Cfrac%20%7B27%7D%7Bsin90%7D%3D%5Cfrac%20%7BKM%7D%7Bsin14%7D)
Taking only the first two parts then
![\frac {MK}{sin14}=\frac {27}{sin90}\\MK=\frac {27sin14}{sin90}=6.53189118119109ft\approx 6.5 ft](https://tex.z-dn.net/?f=%5Cfrac%20%7BMK%7D%7Bsin14%7D%3D%5Cfrac%20%7B27%7D%7Bsin90%7D%5C%5CMK%3D%5Cfrac%20%7B27sin14%7D%7Bsin90%7D%3D6.53189118119109ft%5Capprox%206.5%20ft)
Therefore, rounded off to the nearest tenth, distance will be 6.5 ft
Answer:
The value of x to the nearest tenth is, 15.5 degree
Step-by-step explanation:
Given that: ![\Sin x = \frac{4}{15}](https://tex.z-dn.net/?f=%5CSin%20x%20%3D%20%5Cfrac%7B4%7D%7B15%7D)
To find the value of x;
Take inverse of sin both sides we have;
![\sin^{-1}(\sin x) = \sin^{-1}(\frac{4}{15})](https://tex.z-dn.net/?f=%5Csin%5E%7B-1%7D%28%5Csin%20x%29%20%3D%20%5Csin%5E%7B-1%7D%28%5Cfrac%7B4%7D%7B15%7D%29)
Simplify:
![x = \sin^{-1}(\frac{4}{15})](https://tex.z-dn.net/?f=x%20%3D%20%5Csin%5E%7B-1%7D%28%5Cfrac%7B4%7D%7B15%7D%29)
Simplify:
![x = 15.46601015^{\circ}](https://tex.z-dn.net/?f=x%20%3D%2015.46601015%5E%7B%5Ccirc%7D)
Therefore, the value of x to the nearest tenth is, 15.5 degree
Answer:
6x-5
---------
(5x-4) x (6x+ 7)
Step-by-step explanation:
Answer:
Answer is on the pic
Step-by-step explanation:
I hope it's helpful!