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Fiesta28 [93]
3 years ago
9

A geologist visits 40 volcanoes in Alaska and California.15% of volcanoes are in California.how many volcanoes does the geologis

t visit in California and how many in Alaska?
Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0

Answer:

The answer is 34

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Angle A is in standard position and terminates in quadrant IV. If sec(A)=4/3, complete the steps to find cot(A).
Butoxors [25]

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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Answer:

1234 Get On The Dance Floor

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3(x+2)+5x how do i simplify that expression?
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1st: do distributive property, that will give you 3x + 6 + 5x

2nd: combine like terms to simplify, this will give you 6 + 8x
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430

Step-by-step explanation:

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