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marusya05 [52]
3 years ago
5

Please help! This is about vectors. The answers are A) 11 B) 15 C) 17 D) 21

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0
S(-3,0) & y(1,-3)
you can multiply y by 5 then calculate or you multiply by 5 in the equation
so you take (x) of s and subtract it from 5(x) of y and add it to (y) of s subtarcted from 5(y) of y then make radical for the formula
s - 5y =  \sqrt{( - 3 - 5(1)) {}^{2}  + (0 - 5( - 3)) {}^{2} }  =  \sqrt{64 + 255}  =  \sqrt{289}  = 17

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Answer:

<h2>A) 3 cm</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

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V=\pi(1^2)(21)=21\pi\ cm^3

The formula of a cone:

V=\dfrac{1}{3}\pi r^2H

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We have V = 21π cm³ and H = 7cm. Substitute:

\dfrac{1}{3}\pi(r^2)(7)=21\pi        <em>divide both sides by π</em>

\dfrac{1}{3}(7)(r^2)=21         <em>divide both sides by 7</em>

\dfrac{1}{3}r^2=3         <em>multiply both sides by 3</em>

r^2=9\to r=\sqrt9\\\\r=3\ cm

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