Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29
Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees
Answer:
(0-,10) (1,-6)
Step-by-step explanation:
because the slope is 4 and the y intercept is 10
Length of the aquarium is 35 yd
Step-by-step explanation:
- Step 1: Volume of the aquarium = 210 yd³ given by Volume = length × width × height. Width = 3 yd and Height = 2 yd
Length = Volume/Width × Height
= 210/3 × 2 = 210/6
= 35 yd
Answer:
parallel:
perpendicular:
Step-by-step explanation:
original line:
-7x + 8y = 4
m = 7/8
parallel:
m = 7/8
L: 7x - 8y = k
(4, -4) -> L
28 + 32 = 60 = k
L: 7x - 8y = 60
perpendicular:
m = -8/7
L: -8x + 7y = k
(4, -4) -> L
-32 + 28 = -4 = k
L: -8x -7y = -4
=> 8x + 7y = 4
