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iogann1982 [59]
3 years ago
12

An electronics manufacturer has 180 capacitors, and the same number of capacitors is needed for each circuit board made. The man

ufacturer uses the capacitors to make 45 circuit boards
Mathematics
1 answer:
vampirchik [111]3 years ago
4 0
They used 4 capacitors per circuit board, if that's what you are asking....
180/4=45
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When an exponent of a power is an even number and the base is a negative number, the value is always:
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<u>Answer:</u>

The correct answer option is A. positive.

<u>Step-by-step explanation:</u>

When an exponent or a power is an even number and the base is a negative number, the value is always positive.

Suppose we have a negative base - 3 and a power which is even, lets say, 6 so what we get is a positive value.

(-3)^6=729

Therefore, a negative base with even power is always a positive value.

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polet [3.4K]

Answer: (a) IV (b) positive (c) \frac{\pi}{4} (d) C (e) \sqrt{2}

<u>Step-by-step explanation:</u>

a) \frac{15\pi}{4} - \frac{8\pi}{4} = \frac{7\pi}{4}, which is located in Quadrant IV <em>per the Unit Circle.  </em>

b) sec is \frac{1}{cos}. Cos is the x-coordinate.  The x-coordinate inQuadrant IV is positive.

c) the reference angle is the angle from \frac{7\pi}{4} to 2π = \frac{\pi}{4}

d) since the angle is below the x-axis and the reference angle is\frac{\pi}{4}, then the angle is equal to -sec(\frac{\pi}{4})

e) sec = \frac{1}{cos}   ⇒   sec \frac{7\pi}{4} = \frac{2}{\sqrt{2} } = \frac{2}{\sqrt{2} }(\frac{\sqrt{2}} {\sqrt{2}}) = \frac{2\sqrt{2} }{2} = \sqrt{2}

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Answer: (a) \frac{3\pi}{2} (b) (0, -1) (c) A (d) -1

<u>Step-by-step explanation:</u>

a) \frac{11\pi}{2} - \frac{4\pi}{2} = \frac{7\pi}{2} - \frac{11\pi}{2} = \frac{3\pi}{2}

b) \frac{3\pi}{2} is on the Unit Circle at (0, -1)

c) sin = \frac{opposite}{hypotenuse} which equals \frac{y}{r} on the Unit Circle.

d) sin is the y-coordinate. sin (\frac{3\pi}{2}) = -1

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3 years ago
Part A: What is the measure of angle x? Show your work. (5 points)
stepan [7]

Answer:

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Angle CD on the bottom is a 180 angle. If you subtract it by 110 it's 70. The two bottom angles are equal so it also equals 70, add them and you get 140. Subtract 180 by 140 and it means x=40!

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