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artcher [175]
3 years ago
14

There are 1996 students at TCHS. The number of girls is 52 less than the number of boys . How many boys and girls

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
6 0

1996 - 52 =

Step-by-step explanation:

1944+52=1996 Answer:1944

TiliK225 [7]3 years ago
6 0

Answer: Boys = 1024

Girls = 972

Step-by-step explanation:

Let the number of boys = x ...... ( 1 )

Therefore the number of girls = x - 52 ..…... (2 ) ( x < 52 )

X + x - 52 = 1996

2x - 52 = 1996

2x = 1996 + 52

2x = 2048

X = 2048/2

X = 1024

Substitute for x in equation ...( 2 ) to get the number of girls

1024 - 52 = 972

Now , number of boys = 1024

And number of girls = 972

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Answer:

slope (m) = -\frac{3}{2}

Step-by-step explanation:

We can find the slope (m) by using coordinate pairs of any 2 points located along the slope of the line that we have on the graph.

This, let's use the coordinate pairs at:

x = -4, y = 2 (-4, 2) => (x2, y2)

x = 0, y = -4 (0, -4) => (x1, y1)

slope (m) = \frac{y2 - y1}{x2 - x1}

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3 years ago
find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

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3 years ago
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An equivalent expression would be 6(8x - 5)
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