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algol13
3 years ago
14

What is the equation of the line perpendicular to 6x-2y=3

Mathematics
1 answer:
andriy [413]3 years ago
3 0

An answer to this would be y=- 1 over 3 x

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Alfred owns a t-shirt shop. At what price would Alfred sell a t-shirt costing him £70 if applied a 25% mark up?
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The t-shirt would now cost $52.50
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4 years ago
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Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1} which of course simplifies to

-3.  Choice A.

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4 years ago
paula spent 3/8 of her allowance on education and 1/6 on entertainment. What fraction of her allowance did she spend on other it
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3/8 = 9/24
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24-13 = 
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1. A school gym has a width of 270 ft. Which of the following is equivalent to 270 ft?
yan [13]

Answer:

It should be 90

Step-by-step explanation:

Because 270 divided by 3 is 90

6 0
3 years ago
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