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eduard
2 years ago
10

Find the exact value.

Mathematics
1 answer:
levacccp [35]2 years ago
4 0

\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}

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Use the distributive property to solve the equation.<br> 2 (x – 9) = 10
scoundrel [369]

Answer:

x = 14

Step-by-step explanation:

Hi,

To begin, distribute the 2 to the x and -9.

So...

2 ( x - 9 ) = 10

2x - 18 = 10

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x = 14

I hope this helps :)

5 0
3 years ago
Please help with number 1! Thanks
Darina [25.2K]
To convert -34º C to Fahrenheit, plug the temperature in Celsius in the formula and solve.
F = 9/5C + 32
F = 9/5(-34) + 32
To solve this you must first multiply.
9/5 • -34 = -61.2
F = -61.2 + 32
Now add.
-61.2 + 32 = -29.2
The answer is -34º C equals -29.2º F.

Hope this helps!
4 0
3 years ago
A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the
asambeis [7]

Answer: The break even point is when they have sold 16 books and have made $288

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The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96  Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve  for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288

7 0
3 years ago
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Ilia_Sergeevich [38]

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Step-by-step explanation:

3 0
3 years ago
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