Answer: 21
Step-by-step explanation:
ahaha but for real it is 19
To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).
To start, we find the square of the distance between x1 and x2 and y1 and y2. The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.
Now we square 2 and 7 and add them together to get 4 + 49 = 53.
The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.<span />
You can set up two equations from the information given. I will set them up for you:
32 = 4x + 2y
36 = 5x + 2y
Let's solve the first equation to come up with a value for y.
32 = 4x + 2y
32 - 4x = 2y
16 - 2x = y
Now we plug y into the other equation.
36 = 5x + 2(16-2x)
36 = 5x + 32 - 4x
4 = x
Now we have our real x value and we can plug it into the first equation.
32 = 4(4) + 2y
32 = 16 + 2y
16 = 2y
8 = y
Since x = 4 and y = 8, you get the final coordinates of (4,8).
Your answer is the second statement provided above.
Answer:
42.2% of the applications came from small businesses
Step-by-step explanation:
the percentage of applications that came from small businesses can be calculated through:
percentage from small businesses = applications from small businesses / total number of applications = 30 / (23+18+30) = 0.422 (42.2%)
Using proportions, it is found that 1685% of an hour passes between 11:24 am and 415 am.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
One hour is composed by 60 minutes. Between 11:24 am and 4:15 am, there are 16 hours and 51 minutes, hence the number of minutes is given by:
M = 16 x 60 + 51 = 1011 minutes.
As a percentage of one hour = 60 minutes, we have that this measure is:
1011/60 x 100% = 1685%.
Hence 1685% of an hour passes between 11:24 am and 415 am.
More can be learned about proportions at brainly.com/question/24372153
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