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3 years ago

13

The principal surveyed a group of sixth-grade boys about their favorite sport. Fifty-five percent, or 110 boys, selected footbal

l as their favorite sport.
How many boys did the reporter survey?

1 answer:

ch4aika [34]3 years ago

4 0

200

look at The image

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4 years ago

Find the projection of u onto v<br> URGENT HELP

padilas [110]

Given:

Two vectors are:

$u=\left$

$v=\left$

To find:

The projection of u onto v.

Solution:

Magnitude of a vector $v=\left$ is:

$|v|=\sqrt{a^2+b^2}$

Dot product of two vector $v_1=\left$ and $v_2=\left$ is:

$v_1\cdot v_2=a_1a_2+b_1b_2$

Formula for projection of u onto v is:

$Proj_vu=\dfrac{u\cdot v}{|v|^2}v$

$Proj_vu=\dfrac{\left \cdot \left }{(\sqrt{2^2+17^2)^2}}\left$

$Proj_vu=\dfrac{0\cdot 2+6\cdot 17}{4+289}\left$

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On further simplification, we get

$Proj_vu=\dfrac{102}{293}\left$

$Proj_vu=\left$

$Proj_vu=\left$

Therefore, the projection of u onto v is $Proj_vu=\left$ .

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