Step-by-step explanation:
a. the angle B in triangle ABC:
180-47=133°
angle C in ABC:
180-(40+133)=7°
using sine rule:
a/sin A= b/sin B= c/sin C
50/sin 7= BC/sin 40
BC= (50*sin40)/ sin7
=263.7 m
b.sin 47= opposite/hypotenuse
sin 47= CD/263.7
CD= sin 47*263.7
= 192.9
Answer:


Step-by-step explanation:
<u>Given the system of equations</u>


<u>Divide 3 on both sides of the 2) equation</u>



<u>Current system</u>


<u>Substitute 1) equation into the 2) equation</u>

<u>Combine like terms</u>


<u>Subtract 15 on both sides</u>


<u>Divide 4 on both sides</u>


<u>Substitute the x value into one of the equations to find the y value</u>




Hope this helps!! :)
Please let me know if you have any questions
The solution is
y=5.6
hope this helps:)
so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)
(7-(-2))/(0-8)
simplify
9/-8
simplify -9/8
now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.
y=mx+b
-2=(-9/8)(8)+b
multiply (-9/8) by 8 to get -9
-2=-9+b
add 9 to both sides
7=b
so our equation is now
y=-(9/8)x+7