the lines are perpendicular because they're crossing each other
Answer:
147,000N
Step-by-step explanation:
A1= 2m^2
A2= 0.2m^2
F2= 14,700N
Required
F1, the applied force
Applying the formula
F1/A1= F2/A2
substute
F1/2=14700/0.2
2*14700= F1*0.2
29400= F1*0.2
F1= 29400/0.2
F1=147,000N
Hence, the applied force is 147,000N
Option 3 should be correct. Use rise over run.
V = [1/2 x 5 x side x apothem] x height of the prism.
V=[ 1/2 x 5 x 7.1 x 5] x 15
V= 88.75 x 15
V= 1331.25
Answer:
Step-by-step explanation:
<u>This is going to be an arithmetic progression:</u>
- 48500, 48500 + 1200, 48500 + 1200*2, ...
<u>So the first term is </u>
<u>and the common difference is </u>
<u>Sum of AP is:</u>
- S = (a₁ + aₙ)*n/2 = (2a₁ + (n - 1)d)*n/2
<u>Substitute and solve for n:</u>
- (2*48500 + (n - 1)*1200)*n/2 = 321000
- (97000 + 1200n - 1200)n = 642000
- 1200n² + 95800n - 642000 = 0
- 6n² + 479n - 3210 = 0
<u>Solving we get a positive root of:</u>
- n ≈ 6.21 and it rounds up to 7 years
