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Usimov [2.4K]
2 years ago
14

Use the function y = 200 tan x on the interval 0 < x < 141. Complete the ordered pair (xº, 0). Round your answer to the

Mathematics
1 answer:
MAVERICK [17]2 years ago
8 0

Using the tangent function, it is found that the ordered pair is (141º, -162º), hence option D is correct.

<h3>Function concepts:</h3>
  • For a function y = f(x), each ordered pair has the following format: (x, f(x)).
  • The tangent of an angle is given by the sine of this angle divided by the cosine of this angle, that is:

\tan{x} = \frac{\sin{x}}{\cos{x}}

In this problem, the function is:

y = f(x) = 200\tan{x}

We want the ordered pair (141, y), that is, f(141), hence, using a calculator:

f(141) = 200\tan{141^{\circ}} = -162

Hence, the ordered pair is (141, -162), and option D is correct.

You can learn more about the tangent function at brainly.com/question/26144146

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Step-by-step explanation:

Here is the complete question:

Rubi tosses a quarter off the Main Street bridge into the St. John’s River. The distance, in feet, the quarter is above the water is modeled by the equation d(t) = −16t2+96t + 112, where t represents time in seconds.

Find the actual value(s) now to each question. Use the solution from the previous question to assist you with what you are actual solving for.

(a) From what height was the quarter tossed?

The quarter was tossed at 112 feet.

(b) How long does it take the quarter to reach its maximum height?

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(c) What is the maximum height of the quarter?

The maximum height of the quarter is ________ feet.

(d) How much time does it take for the quarter to hit the water?

It will take ______ seconds for the quarter to hit the water.

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d(t) = −16t² + 96t + 112,

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From the question, we are aware that,

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Using the values, the vertex will be:

h = -b/2a

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The maximum height is therefore 256 feet, and time needed to reach the height will be 3 seconds.

c. The maximum height has been calculated and it is 256 feet.

d. The time it take for the quarter to hit the water will be:

= 3 seconds × 2 = 6 seconds

Since the maximum height took 3 seconds, it would take another 3 seconds to hit the water. This makes it 6 seconds

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