Using the Pythagorean Theorem, it is found that the base of the pole should be set 10 feet from the end of the wire.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs
and
of a right triangle with the length of the hypotenuse h, according to the following equation:

In this problem, the distance is
, while the other measures are
, hence:



The base of the pole should be set 10 feet from the end of the wire.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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<span>The answer is 9,990 years. Using the exponential decay question, we can figure out how long it will take Plutonium-240 to decay from 27 grams to 9 grams. Setting the equation up looks like this, 9 = 27 e^ (-0.00011 t). From this you get, 0.333333 = e ^(-0.00011 t). Next, you simplify by dividing both sides by the natural log, -1.0986 = -0.00011 t. Finally, you solve by dividing both sides by -0.00011, giving 9,987 years for t, rounded up to 9,990 years.</span>
Answer:
r represents the rate the electric company charges per kilowatt-hour.
Step-by-step explanation:
r represents the rate the electric company charges per kilowatt-hour.
Total charged to Zhao was 63.25 out of which 3.50 is administrative charge (fixed).
- Total charge consists of "administrative charge" + "charge per kilowatt hours*hours used
- The equation is given as 63.24 = 3.5 + 800r
<u>Matching the "word equation" with "mathematical equation", we see that 800 is the hours used and r is the charge per kilowatt hour.</u>