Answer:
The magnitude of the resultant force is: 27.40 pounds
Step-by-step explanation:
Given



Required
The magnitude of the resultant vector
To do this, we apply cosine formula

This gives:




Take square roots of both sides


Area= (length)(width)
divide by (length) on both sides.
(width)= (area)/(length).
Your best bet is treating area, length, and width as numbers. You can plug in numbers and take them out in the end. Hope this helps!
Answer:
i) 2.3× 10⁻¹²
ii)2.3× 10¹⁰
iii)2.3× 10¹³
iv)2.3× 10⁻¹¹
<u>Step-by-step explanation</u>:
The degree and power depends on the position of the decimal. The degree of 10 is negative when the decimal is before 23 and is positive when it's after 23.
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
Answer:

Step-by-step explanation:
here is your answer
Calculation steps:




