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Len [333]
3 years ago
12

A 20-foot pole leaning against a wall reaches a point 18 feet above the ground .what is the angle which the pole makes with the

ground to the nearest degree
Mathematics
1 answer:
dlinn [17]3 years ago
3 0
Sinα=h/L

α=arcsin(h/L)°  we are told that h=18 and L=20 so

α=arcsin(9/10)°

α≈64°  (to nearest whole degree)
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Pls help I'll mark brainliest​
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I need help please!!! My teacher doesn't teacher and she has asked us to do a problem I don't know how to do it. Can somebody ex
ra1l [238]

Using exponential functions, it is found that:

a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.

b) The patient could have ingest 231 milligrams of caffeine.

A decaying <em>exponential function</em> is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem:

  • Caffeine metabolize at a rate of 13% per hour, hence r = 0.13.

Then:

A(t) = A(0)(1 - r)^t

A(t) = A(0)(1 - 0.13)^t

A(t) = A(0)(0.87)^t

Item a:

The coffee cup contains 150 milligrams of caffeine, hence A(0) = 150.

At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).

A(t) = A(0)(0.87)^t

A(8) = 150(0.87)^8

A(8) = 49.2

Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.

Item b:

This A(0), considering <u>A(11) = 50</u>, hence:

50 = A(0)(0.87)^{11}

A(0) = \frac{50}{(0.87)^{11}}

A(0) = 231

The patient could have ingest 231 milligrams of caffeine.

A similar problem is given at brainly.com/question/25537936

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\sqrt{ {( - 18)}^{2} }

\sqrt{324}

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Answer:

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