Answer:
(M)_a = -8171 lb-ft
Step-by-step explanation:
Step 1:
- We will first mark each weight from left most to right most.
Point: Weight: Moment arm r_a
G_3 W_g3 = 169 30*Cos(75) + 4.25
G_2 W_g2 = 220 30*Cos(75) + 2.5
G_1 W_g1 = 1500 10*cos(75)
Step 2:
- Set up a sum of moments about pivot point A, the expression would be as follows:
(M)_a = -W_g3*(30cos(75) + 4.25) - W_g2*(30*Cos(75) + 2.5) - W_g1*10*cos(75)
Step 3:
- Plug in the values and solve for (M)_b, as follows:
(M)_a = -169*(30cos(75) + 4.25) - 220*(30*Cos(75) + 2.5) - 1500*10*cos(75)
(M)_a = -2030.462559 -2258.205698 - 3882.285677
(M)_a = -8171 lb-ft
Your answer is 94.
180-(28+58) gives you
180-86
=94
Answer:
16,000 people
Step-by-step explanation:
Let's write a ratio
8,000:20,000
Let's write another ratio
x:40,000
We can write a percent proportion.

We can see that the relationship between the denominators is multiplied by 2 so that means the relationship between 8,000 and x is x is 2 times greater than 8,000
Let me know if you have any questions.
Answer:
C (a, b) is the cordinates of point c.