Answer:
37 units
Step-by-step explanation:

Using the distance formula above,
distance between (15, -17) and (-20, -5)
![= \sqrt{[15 - ( - 20)]^{2} + [ - 17 - ( - 5)] {}^{2} } \\ = \sqrt{(15 + 20)^{2} + ( - 17 + 5)^{2} } \\ = \sqrt{35 ^{2} + ( - 12) {}^{2} } \\ = \sqrt{1225 + 144} \\ = \sqrt{1369} \\ = 37 \: units](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%5B15%20-%20%28%20-%2020%29%5D%5E%7B2%7D%20%20%2B%20%5B%20-%2017%20-%20%28%20-%205%29%5D%20%7B%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%2815%20%2B%2020%29%5E%7B2%7D%20%2B%20%28%20-%2017%20%2B%205%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B35%20%5E%7B2%7D%20%2B%20%28%20-%2012%29%20%7B%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B1225%20%2B%20144%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B1369%7D%20%20%5C%5C%20%20%3D%2037%20%5C%3A%20units)
Answer: 3 : 1
Step-by-step explanation:
We know that there are 48 kids in Elm street.
12 of them are boys, then the number of girls will be:
48 - 12 = 36
So there are 12 boys and 36 girls.
Then the ratio of girls to boys is 36:12
We can divide both numbers by the same number and we will get an equivalent ratio, if we divide by 12 in both sides, we have:
36/12 : 12/12
3 : 1
Then the ratio is 3 to 1.
Answer:
0.09
Step-by-step explanation:
So if you use the Simple interest equation it will begin with:
Interest total = Initial Amount of money x Interest rate per year x Years money is invested for.
Then substitute the values you have been given so:
$6300 = 7000 x Interest rate per year x 10.
This is simplifies to 6300 = 70,000 x Annual Interest rate
You can rearrange this to find the annual interest rate by dividing by 70,000:

Simplifying this would be:
= Interest rate.
The interest rate is 0.09.
w = 37.846 mph (wind rate)
plane speed in still air: 492 mph