Given:
In △ABC is a right angle triangle.
AC is 6 units longer than side BC.
To find:
The length of AC.
Solution:
Let the length of BC be x.
So, Length of AC = x+6
According to the Pythagoras theorem, in a right angle triangle
△ABC is a right angle triangle and AC is hypotenuse, so
![[\because (a+b)^2=a^2+2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5D)
Subtract 68 from both sides.
Divide both sides by 2.
Splitting the middle term, we get
Side cannot be negative, so x=2 only.
Now,
Therefore, the length of AC is 8 units.
Answer:
0.47
Step-by-step explanation:
First, find P(X > 1.18).
(2 − 0) / 1 = (2 − 1.18) / x
2x = 0.82
x = 0.41
Next, find P(X < 0.12).
(2 − 0) / 1 = (0.12 − 0) / x
2x = 0.12
x = 0.06
So the total probability is 0.41 + 0.06 = 0.47.
Answer:
he gets 4.33 dollars back
Step-by-step explanation:
add 2.75+1.20+1.35+0.37= 5.67
10-5.67=4.33 $
These are chords of a circle, and the equation to solve for any unknowns is to multiply the 2 sections of one chord and set it equal to the mutiplied 2 sections of the other chord. In our case that will look like this: x * 15 = 6 * 5. That's 15x=30. x = 2
