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Julli [10]
3 years ago
5

    A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds;

and then stops to look at an eel. Finally, the diver swims up for 3 more seconds at 0.4 feet per second. What is the diver’s new depth? Enter your answer in the box.
Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0

Answer:

-11.8

Step-by-step explanation:

because the scuba diver was below sea level and the key word is below sea level which is negative

melamori03 [73]3 years ago
4 0
11.8 feet.

15 feet -(0.5feet×4)
=15feet-2feet
=13 feet
13feet-(0.4feet×3)
=13feet-1.2feet
=11.8 feet
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Answer:

Part A) Use the identity tan^2(A)+1=sec^2(A)

Part B) cot(A)=-\frac{3\sqrt{7}}{7}

Step-by-step explanation:

we know that

tan^2(A)+1=sec^2(A) ----> by trigonometric identity

we have

sec(A)=\frac{4}{3}

substitute in the expression above

tan^2(A)+1=(\frac{4}{3})^2

solve for tan(A)

tan^2(A)+1=\frac{16}{9}

tan^2(A)=\frac{16}{9}-1

tan^2(A)=\frac{7}{9}

square root both sides

tan(A)=\pm\frac{\sqrt{7}}{3}

Remember that Angle A terminates in quadrant IV

so

The value of tan(A) is negative

tan(A)=-\frac{\sqrt{7}}{3}

<em>Find the value of cot(A)</em>

we know that

cot(A)=\frac{1}{tan(A)} ----> is the reciprocal

therefore

cot(A)=-\frac{3}{\sqrt{7}}

simplify

cot(A)=-\frac{3\sqrt{7}}{7}

6 0
3 years ago
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How much of salt would you get if you evaporate all water from 20g of a 17% salt solution?
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Answer:

3.4 grams

Step-by-step explanation:

The water 20g has salt solution of 17%.

If you were to evaporate all the water.

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You would get 3.4 grams of salt.

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The number of patients treated at Dr. White's dentist office each day for nine days is 10, 6, 4, 15, 6, 8, 6, 15, 4. Find the me
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Mode: 6

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Find a polynomial function of degree 3 such that f(10)=17 and the zeros of f are 0, 5 and 8
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Step-by-step explanation:

Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.

We know that f(10) = 17.

=> A(10)(10 - 5)(10 - 8) = 17

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