Answer:
D.) 8
Step-by-step explanation:
You can use the Pythagorean theorem because this is a right triangle:

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.
Fill in values:

Simplify exponents:

Isolate the variable. Subtract 225 from both sides:

Find the square root of both sides:

The missing leg length is 8.
Ronald has 5 sets of three yellow beads, if there are 2 blue beads for every set, what is the total amount of blue beads?
Answer:
[22 x 21] / 2=231 or "c"
Step-by-step explanation:
The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).