This is Pythagorean theorem.
We already know a and c.
a = 4 and c = 10
4² + b² = 10²
16 + b² = 100
Subtact 16 from each side.
b² = 84
Square root of each side:
b = ≈9.165 or √84
Hope this helps!
Answer:
The speed in scientific notation is 
feet per second.
Step-by-step explanation:
1. You have the following speed: One thousand one houndred feet per second.
2. You must convert from words to number. This is:
1,100 feet per second
3. To express this quantity in scientific notation, you can move the decimal point three places to the left, and write it as: 1.1 by 
(or 1,000) as following:
Answer:
Sue has the greater probability of 2/5 and Eric has the probability of 1/5.
Step-by-step explanation:
Sue took 2 things and eric replaced his forst one, ending up with one treat.
Answer:
x = 17 and y = 8
Step-by-step explanation:
Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.
Therefore, you can set them equal to each other and solve for x.
8x - 31 = 6x + 3
Combine like terms
2x = 34
Divide both sides by two
x = 17
Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.
(5y + 35) + (6(17) + 3) = 180
Add like terms
5y + 140 = 180
5y = 40
y = 8
I can't read that language but I'll guess it says write a second degree equation then solve for n when d=10.
Answer: n² - 3n - 20 = 0
That doesn't factor so there is no integer n solution.
That means there are no polygons with 10 diagonals.
