Answer: 
Step-by-step explanation:
The Pythagorean Theorem says that a^2 + b^2 = c^2 where a and b are the two legs.
In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.
4^2 +
= C^2
16 + 50 = c^2
66 = c^2
c =
Answer:
Find out the what function equation represents the population of the city after t years .
To prove
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
This can be represented by exponential decreasing function.

Where a is the initial value.
r is the rate in decimal form
t is the time.
Here
a = 451,400
3.2 % is written in the decimal form.

= 0.032
Put in the formula


Therefore the decrease in the population of the city after t years is represented by
120 - 96 = 24
Now we have to find what percent of 120 24 is.
x × 120 = 24
x = 0.2
0.2 means 20%.
The discount is 20% off.
Answer:
28 different ways
Step-by-step explanation:
This is a combination question. Combination has to do with selection.
Total number of element in the set = 8
Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}
Total number divisible by 6 or 8 is 6
The number of ways we can choose 6 items from 8 is expressed as;
8C6 = 8!/(8-6)!6!
8C6 = 8!/(2)!6!
8C6 = 8*7*6!/2!6!
8C6 = 8*7/2
8C6 = 56/2
8C6 = 28 ways
Hence there are 28 different ways