Answer:
applying trigonometry
base= 30inches
height= 50inches
angle between ladder and ground = 59.04°
for the length of the ladder...
sin59.04 = opposite side ÷ hypotenuse
sin59. 04 = 50inches ÷ hypotenuse
0.8575 = 50 inches ÷ hypotenuse
cross multiply;
hypotenuse = 50inches ÷ 0.8575
the length of the ladder = 58.309inches
6x^4 + 3x^3 - 39x^2 - 15x
Answer:
perpendicular slope = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
+ 5 ← is in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 2
Z = 114 + 2p
p = 46
Plug in 46 for 'p' in the first equation.
z = 114 + 2p
z = 114 + 2(46)
Multiply:
z = 114 + 92
Add:
z = 206
So the Zigzag river is 206 miles long.