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2 years ago

14

8 multiplied by the sum of a number and 5 is 24.

1 answer:

ziro4ka [17]2 years ago

8 0

Answer:

-2

Step-by-step explanation:

24/8 (Opposite of multiplied)

=3

-5 (The opposite of sum)

3-5

-2

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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

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

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Answer:

Hello,

Answer D

Step-by-step explanation:

I suppose that i is the imaginary (i²=-1)

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Answer D

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2 years ago

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Find the range for the measure of the third side of a triangle given the measures

ANTONII [103]

Answer:

B 0<x<12

Step-by-step explanation:

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Mnenie [13.5K]

Answer:

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Step-by-step explanation:

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