Answer: The answer is “10cm”
Step-by-step explanation: To get to this answer we first need to know the formula for find the hypotenuse which is a^2 + b^2 = c^2. A and B are the two sides in this case a and b are 8 cm and 6 cm. Then you plug in the values into the equation, it looks like this 8^2 + 6^ = c^2 once you solve you get 64 + 36 = c. When you add 64 and 36 you get 100 but their is one more step. You must find the square root of 100 which is 10. So your answer for the hypotenuse is “10cm”
Have a nice day!
<h3>
Answer: x(x+1)(5x+9) </h3>
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Work Shown:
5x^3 + 14x^2 + 9x
x( 5x^2 + 14x + 9 )
To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.
A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

Then use those two solutions to find the factorization
x = -1 or x = -9/5
x+1 = 0 or 5x = -9
x+1 = 0 or 5x+9 = 0
(x+1)(5x+9) = 0
So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)
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Overall,
5x^3 + 14x^2 + 9x
factors to
x(x+1)(5x+9)
Answer:
1/3
Step-by-step explanation:
Answer:
5571.99
Step-by-step explanation:
We need to use the Pythagorean theorem to solve the problem.
The theorem indicates that,

Once this is defined, we proceed to define the volume of a cone,

Substituting,

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

then 

<em>We select the positiv value.</em>
We have then,

We can now calculate the maximum volume,
