Answer:
x ≈ 14.57
Step-by-step explanation:
using the sine ratio in the right triangle
sin59° =
=
( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.57 ( to 2 dec. places )
Y₂-y₁
--------
x₂-x₁
=
5-5
--------
-8-2
0
-----
-10
slope = 0
We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8
Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17
Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8
y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2
The trucks' point of intersection is (25/8,9/2)
Slope = (57 - 34)/(2-1) = 23
so equation
c<span>onstant = 34 -23 = 11
</span>so
c = 23d + 11
answer
a) first one
c = 23d + 11