Answer:

Step-by-step explanation:
The Pythagorean theorem is a theorem that can be applied to the sides of a right triangle. Please note that a right angle refers to an angle with a measure of (90) degrees. A box around an angle shows that the angle is a right angle, or has a measure of (90) degrees. The Pythagorean theorem states the following,

Where (a) and (b) are the legs of the triangle, or the side adjacent to the right angle in the right triangle. (c) is the side opposite the right angle, or the hypotenuse of the triangle. One can apply this theorem to the smallest triangle in the diagram to find (y),

Substitute,

Simplify,


Inverse operations,



Take a factor from out of the square root. Remember that a number times itself under the radical is equal to the number. This can be simply stated as the following: (
),





Answer:
4 hours
Step-by-step explanation:
The amount remaining at the end of each hour is 0.85 of the amount at the start of the hour. You want to find the exponent such that ...
... 0.85^x = 0.5 . . . . . x = the number of hours until half is left
... x·log(0.85) = log(0.5) . . . . . take the log to turn it to a linear equation
... x = log(0.5)/log(0.85) ≈ 4.265024
Rounded to the nearest hour, x = 4.
<span>The range would be all real numbers such that 0 ≤ y ≤ 40.
hope this helps!</span>
Answer: A) y= -1/2x+5
Step-by-step explanation: If the line is perpendicular to the original, the new "m" (coefficient of x) has to be the negative reciprocal of the original "m"