Answer:
Step-by-step explanation:
Let the numbers are 2x and 2x + 2.
<u>We have:</u>
- (2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
- 4(2x + 1)² = 4x² + 4(x + 1)² + 48
- (2x + 1)² = x² + (x + 1)² + 12
- 4x² + 4x + 1 = x² + x² + 2x + 1 + 12
- 2x² + 2x - 12 = 0
- x² + x - 6 = 0
- (x - 2)(x + 3) = 0
- x = 2, x = -3
<u>The numbers are:</u>
This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.
Answer:
A. 12.25 tons
Step-by-step explanation:
We will let x represent the amount required to cover the entire wall.
We can divided 2/5 by 5/6 to solve for x
2/5 divided by 5/6=x
When you divide by a fraction, you can always multiply by the reciprocal (flipped number).
Our new equation is:
2/5·6/5=12/25