Step-by-step explanation:
because
√(11)²+9²=√202=14,2
X = -33 + 42
x = 42 - 33
x = 9
The answer to #1 is 9 to 30
the answer to #2 is 4 to 3
The Pythagorean theorem tells you ...
... c² = a² + b²
... 13² = 12² + b² . . . . . fill in the given numbers
... 169 - 144 = b² . . . . .subtract 12²
... √25 = b . . . . . . . . . take the square root
... b = 5 . . . . . . The value of b you're looking for.
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The numbers {5, 12, 13} make what is called a "Pythagorean triple" a set of integers that satisfies the relation of the Pythagorean theorem. These, and the triple {3, 4, 5} are often seen in algebra problems. It can be worthwhile to remember these numbers.
Consider the cup a cylinder. The formula for the volume of a cylinder is: V= PI x r^2 x h
Cup A: 3.14 x 7 x 1.5^2 = 49.46
This is large enough
Cup B: 3.14 x 5 x 1^2 = 15.7
This is too small
Cup C: 3.14 x 6 x 1.25^2 = 29.44
This is too small.