The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.
From the picture you have a = 10 and c = 15.
Now you have:
10^2 + b^2 = 15^2
Simplify:
100 + b^2 = 225
Subtract 100 from both sides:
b^2 = 125
Take the square root of both sides:
b = √125
b = 11.2
Answer:
2.5
Step-by-step explanation:
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<h2>
Answer:</h2>
There are 1757600 possibilities.
<h2>
Step-by-step explanation:</h2>
In a certain state, fishing licenses are in the form of LLL NN
L stands for a letter of the alphabet (a to z)
N stands for a one-digit number from 0 to 9.
Now, for the series LLL, 3 alphabets are placed that can be any from a to z. This means at each place, 26 letters can be placed.
Similarly, for NN, 2 numbers are placed that can be any, between 0 and 9. At each place 0 to 9 can be placed.
Hence, the total possible outcomes will be :
=1757600
Therefore the answer is 1757600 possibilities.
Answer:
n≅376
So sample size is 376.
Step-by-step explanation:
The formula we are going to use is:

where:
n is the sample size
p is the probability of favor
q is the probability of not in favor
E is the Margin of error
z is the distribution
α=1-0.98=0.02
α/2=0.01
From cumulative standard Normal Distribution

p is taken 0.5 for least biased estimate, q=1-p=0.5

n≅376
So sample size is 376
Roger needs to score 1163 more points to win the game.