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Mkey [24]
3 years ago
6

In Megan's class, 4/7 of the students are girls. Of the girls, 2/3 participate in sports. What fraction of Megan's class are gir

ls who participate in sports? (Write your answer as a fraction.)
Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

X = the number of students in Megan's class

4/7 X = the number of girls in the class (G)

4/7 * 2/3 = the number of girls in the class who participate in sports

4/7 * 2/3 = 8/21 of girls in Megan's class participate in sports

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2 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

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.

6 0
3 years ago
What is the distance between (−5,−4) and (-6,4)?
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The distance formula is:  d  =  sqrt( (x2 - x1)2 + (y2 - y1)2 )

 

For this problem, let (-5, -4) be the "first" point, so  x1 = -5  and  y2 = -4

                      and let (-6, 4) be the "second" point, so  x2 = -6  and  y2 = 4.

 

Then:  d  =  sqrt( (-6 - -5)2 + (4 - -4)2 )  =  sqrt( (-1)2 + (8)2 )  =  sqrt( 1 + 64 )  =  sqrt( 65)

 

The distance formula is just the Pythagorean Theorem applied to an x-y graph.

 

You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.

6 0
2 years ago
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alexgriva [62]

Answer:

Circle A's attributes were used to be organized because both shapes have a <u>right angle</u>. Circle B's attributes were used to be organized because both shapes have <u>2 sets of parallel lines</u> that are across from each other. The middle was organized because both shapes have <u>2 sets of parallel lines</u> and <u>4 right angles</u>.

Step-by-step explanation:

Let me know if this helps!

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JK = 2x – 5 and<br> KL=3x – 8<br> Find JL.
elena-14-01-66 [18.8K]

Answer:

where do you see jl there is only jk and kl

Step-by-step explanation:

3 0
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