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just sqrt(

the answer is 14x+16

What diagram ?

50% of an apple is not an apple and you don't say what happens to the other one and a half apples.

No, the thing to do is to give the fifth girl the basket with her apple in it.

I think that it's likely that what's being referred to in this question are lines in space rather than vectors.

I'm picturing two non-coincident parallel lines with a third line passing through and at right angles to each one of them. Using the third line as an axis, one of the lines is rotated through some angle and the object of the exercise is to find that angle.

Thanks Alan   

6,9,20

Q=6a+9b+20c

(6a+9b+20c)modulo 6 = r

(9b+20c) modulo 6 =r

What numbers are possible if r=1

1x 7x 13x 19x 25x 31x 37x 43x 49=2*20+1*9     43 is the biggest that can not be packaged

What numbers are possible if r=2

2x 8x 14x 20=20*1       14 is the biggest but it is smaller than 43

What numbers are possible if r=3

3x 9=1*9                         3 is the biggest but it is smaller than 43

What numbers are possible if r=4

4x 10x 16x 22x 28x 34x 40=2*20        34 is the biggest but it is smaller than 43

What numbers are possible if r=5

5x 11x 17x 23x 29=1*20+1*9             23 is the biggest but it is smaller than 43

so

43 is the biggest number that can not be packaged!

That is so snazzy         

Actually these are representative of the approximate radii of the atoms.

The probability is (1/3)*(4/12)+(1/3)*(4/6)+(1/3)*(4/6) = 5/9 

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Simply divide by 1,000,000

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Vectors are either skew (in 3-d) or parallel or they intersect.  If they are parallel they are at an angle of zero relative to each other.  If they intersect you can find the angle using the dot product.

I don't know what it means to find the angle between skew vectors.  In general you would need to project them onto the same plane to find an angle, and this could be different depending on which plane you project onto. However, my knowledge of skew vectors is limited so perhaps I'm wrong.

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Here's the exact value:

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Distance / Time = Rate  .....so.....

(1 + 2/9) mi / (1 + 1/7) hr =

(11/9) mi / (8/7) hr =

11/9 x 7/8  = 

77/72  mi/ hr =

about 1.07 mi/hr 

Well.....if you don't want it "simplified"......what's the question????......we'll just leave it, as is......

There is a "formula" for this given by

S_n = (a₁)(1 - r^n) / ( 1 - r)      where Sn  is the sum  of the first n terms, a₁ is the first term, and r is the common ratio (1/3, in our case)

So we have

S₇  =  (1/3) [(1 -(1/3)^7 ] / [ 1 - (1/3) ] =  (1/3) [ 1 - 1/2187 ] / (2 /3) = [1 - 1/2187] / 2 = 1093/2187 = about  .49977 ≈ .5

I'm afraid I don't understand your question.......

7.5 x .50   = $3.75

For the first one, we can use the Law of Cosines  to find the side length, s

s^2  = (2*12^2) - (2*12*2)* cos 72       

s^2  = about 199  ....   take the square root of both sides

s =  about  14.1

We can use the Law of Sines to find angle B

sinB/ 20 = sin50 / 30

sin^-1(20sin(50) / 30) = B = about 30.7°

And angle C = 180 - 50 - 30.7 = 99.3

And side c can be found by using the Law of Sines, again

c sin 99.3 = 30 / sin 50

c = 30 sin 99.3 / sin 50 = about 38.65

Since we have an SSA situation, we can see if we have another possible truangle, thusly :

Subtract angle B from 180 = 180 - 30.7  = 149.3

And when we add this to the known angle of 50 we have more than 180°, so no second triangle exists.

Radio, you really should tune your dial to a different station and move your antenna for good measure, else you’ll keep tuning into the same troll.

This question is BS, like the last one, only with different numbers. None of the values are close to the radii of any atom.

OMG!! Why don't you believe me I don't know how else to do it pretty please with googly eyes on top.

Your time is yours to waste :/

Thanks, radio.......

The constant of proportionality is 6.......she runs 6 miles per every hour.....no matter the time......

The cosecant is the reciprocal of the sine

The sin(120)  = √3/2  

So.....csc(120) = 2/ √3

2 + 3/5 =    13/5

So we have

13/5 - 2/7      the common denominator is 35....so...

91/35 - 10/35 =

81/35  =

2 + 11/35 

3^-3 * 3⁸  =   3⁵    =   243

b-the object is moving closer to its starting position most quickly between E and F .....the slope between these two points is (-3/2)

Between A and B, the object is moving away from its starting position

Between C and D the object is moving away from its starting posiyion, but not as fast as between A amd B

Between D and E, the object is moving towards its starting position