Math experts please help

Mathematics

1 answer:

Licemer1 [7]3 years ago

8 0

Answer:

The answer is 64

Step-by-step explanation

Lines JK and HI are congruent therefore making the 60 degree angle on line JK can also be used to find the rest of triangle <HAI, and triangles always add up to 180 degrees

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gizmo_the_mogwai [7]

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Andrea paid $9.99 to join an online music service. If she purchases 12 songs each month at a cost of $0.80 per song, what will b

Taya2010 [7]

Answer:

67.59

Step-by-step explanation:

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A trade magazine routinely checks the drive-through service times of fast-food restaurants. Upper AA 9595% confidence interva

Butoxors [25]

Answer:

One can be 95% confident that the drive-through service times of fast-food chain is between 169 seconds and 172 seconds.

Step-by-step explanation:

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3 years ago

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