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mrs_skeptik [129]
3 years ago
14

I don't understand #13. Please help

Mathematics
1 answer:
Aliun [14]3 years ago
8 0
The answer is (3) 14

2+4+24 = 30
30/3=10

6+14=20
20/2=10
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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

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

substitute in the expression above

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

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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}}

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

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Step-by-step explanation:

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Parte de Cálculo: En cada una de las siguientes proporciones, utilizar regla de tres para determinar el valor desconocido
sineoko [7]

Answer:

<u><em>x = 4</em></u>

<u><em>x = 3</em></u>

<em><u>x = 10</u></em>

<u><em>x = 3</em></u>

<em><u>x = 16</u></em>

<em><u>x = 35</u></em>

Step-by-step explanation:

\frac{x}{5} :\frac{8}{10}

x · 10 = 5 · 8

10x = 40

10x ÷ 10 = 40 ÷ 10

<u><em>x = 4</em></u>

\frac{8}{12} :\frac{2}{x}

x · 8 = 12 · 2

8x = 24

8x ÷ 8 = 24 ÷ 8

<u><em>x = 3</em></u>

\frac{15}{3} :\frac{x}{2}

x · 3 = 15 · 2

3x = 30

3x ÷ 3 = 30 ÷ 3

<em><u>x = 10</u></em>

\frac{x}{6}:\frac{6}{12}

x · 12 = 6 · 6

12x = 36

12x ÷ 12 = 36 ÷ 12

<u><em>x = 3</em></u>

\frac{x}{8} :\frac{4}{2}

x · 2 = 8 · 4

2x = 32

2x ÷ 2 = 32 ÷ 2

<em><u>x = 16</u></em>

\frac{10}{2} :\frac{x}{7}

x · 2 = 10 · 7

2x = 70

2x ÷ 2 = 70 ÷ 2

<em><u>x = 35</u></em>

5 0
3 years ago
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