Answer:
Step-by-step explanation:
Each of the triangles is similar, so we have ...
3/5 = (3+x)/20
x = 20(3/5) -3
x = 9
__
4/5 = (4+y)/20
y = 20(4/5) -4
y = 12
__
3/5 = (3 + x + u)/60
u = 60(3/5) -3 -9
u = 24
__
4/5 = (4 +y +v)/60
v = 60(4/5) -4 -12
v = 32
Answer:
It would be very difficult to determine the area without any given measurements of the sides. I'm afraid I cannot help you with this question.
Step-by-step explanation:
Answer:
1. -8x² - 16x - 6 a = -8, b = -16, c = -6
1. 4x² - 1 a = 4, b = 0, c = -1
Step-by-step explanation:
use the 'foil' method:
(4x + 2)(-2x - 3)
F: -8x² O: -12x I: -4x L: -6
-8x² - 16x - 6
(2x + 1)(2x - 1)
F: 4x² O: -2x I: 2x L: -1
4x² - 1
Answer:
5817 Newtons.
Step-by-step explanation:
Total mass of the cage + the miners = 700 Kg which is a downward force of 700g N.
The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.
We calculate the acceleration of the cage by using an equation of motion:
Distance = ut + 1/2 a t^2 where u = initial velocity , t = time and a = acceleration:
75 = 0(t) + 1/2 a (10^2)
50a = 75
a = 1.5 m s-2.
So using Newtons second law of motion
Force = mass * acceleration:
700*9.81 - T = 700 * 1.5
T = 700 * 9.81 - 700*1.5
= 5817 N.
