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!

<u>Step-by-step explanation:</u>
The ellipse is vertical so y has the biggest radius.
Major axis (y) = 20 so the y-radius is 20/2 = 10
Minor axis (x) = 14 so the x-radius is 14/2 = 7
The equation of an ellipse is:
where
- (h, k) is the center of the ellipse
- a is the x-radius
- b is the y-radius
Given: a = 7, b = 10
Assume: (h, k) = (0, 0)

Answer:
1/6
Step-by-step explanation:
If we're assuming that this is a six-sided die, then we can find that the results can be 1,2,3,4,5,6. Only 1 of those 6 numbers are 5, so the probability of the cube landing on 5 would be 1/6.
Answer:
103,000
Step-by-step explanation:
Use your knowledge of decimal arithmetic. Or, use a calculator.
100,000(1 +.03) = 100,000·1.03 = 1000·103 = 103,000