Answer:
x = 13
Step-by-step explanation:
Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.
Set the equation:
a² + b² = c²
let:
a = 5
b = 12
c = x
Plug in the corresponding numbers (& x) to the corresponding variables:
(5)² + (12)² = (x)²
Simplify. First, solve for the power, and then add:
x² = (5²) + (12²)
x² = (5 * 5) + (12 * 12)
x² = 25 + 144
x² = 169
Next, root both sides of the equation:
√x² = √169
x = √169 = √(13 * 13) = 13
x = 13
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Note the rules, and it should be easier:
30-60-90° = 1 , √3 , 2
45-45-90° = 1 , 1 , √2
Any other measurements use the equation: a² + b² = c²
Exponential. A is the answer
Three times. The remainder would be 2.
Suppose f(x) is an even function. The range of g(x) = -3f(2x) is [-9, 3].
Suppose f(x) is an odd function. What is the range of 0.5f(x-3) is [-1.5, 0.5]
Answer:
$11.55
Step-by-step explanation:
If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.