To find the length of the side of the square, we just need to find the distance between the two endpoints. This problem can quickly be solved by using the
distance formula, but for those who are not familiar with it, we can simply solve it by analyzing a triangle.
Take a look at the diagram below. We are interested in x. To find this we have created a right triangle. The horizontal component is just the distance between the x coordinates of the two points while the vertical component is the distance between the y coordinates.
The horizontal component is 9 and the vertical component is 5. We can now get x by using the
pythagorean theorem:


which is approximately equal to 10.30 units.
ANSWER: The length of the side of the square measures 10.30 units.
The cost should be the same on day 3
The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
Answer: 
Step-by-step explanation:
1. You know that the force<em> F</em> varies directly as the weight <em>w</em> of the sofa. Then, you can write the following expression:

Where <em>k </em>is the constant of proportionality.
2. You know that a person can push a 120 pound sofa with a force of 50 pounds, then you can calcualte the constant of proportionality as following:

3. Then, the equation is:

Answer:
I believe your answer is C, the oxygen atoms diffuse through the atmosphere and are
inhaled by animals.
Step-by-step explanation:
Plants take in water that later splits to create hydrogen and oxygen. Since plants don't need oxygen, it gets released into the atmosphere for us and other animals to breathe.