Mathematics

08.03.2023 20:21

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CAN SOMEONE HELP WITH THESE FOR BRAINLEST PLSS THEY DUE I A FEW HOURS

CAN SOMEONE HELP WITH THESE FOR BRAINLEST
PLSS THEY DUE I A FEW HOURS

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MickeyAppleX

4,9(47 marks)

Number 9 is 23

Number 10 is 20

Step-by-step explanation:

xthatshepoxy

4,5(67 marks)

$\begin{aligned} 100 & = \frac{3\sqrt{3}}{2} \cdot s^2 \end{aligned}$ we want to isolate s first. if we multiply both sides by the reciprocal of the coefficient on s, which is $\dfrac{2}{3\sqrt{3}}$ then on the right side, we will get the coefficient canceled out. $\begin{aligned} 100 & = \frac{3\sqrt{3}}{2} \cdot s^2 \\ \frac{2} {3\sqrt{3}}\cdot 100 & = \frac{2}{3\sqrt{3}} \cdot \frac{3\sqrt{3}}{2} \cdot s^2 \\ \frac{2 \cdot 100} {3\sqrt{3}}& = \frac{2 \cdot 3\sqrt{3}}{2 \cdot 3\sqrt{3}} \cdot s^2 \\ \frac{200} {3\sqrt{3}}& = \frac{1}{1} \cdot s^2 \\ \frac{200} {3\sqrt{3}}& =s^2 \\ \end{aligned}$ square root both sides $\begin{aligned} \sqrt{\frac{200} {3\sqrt{3}}}& =\sqrt{s^2} \\ \sqrt{\frac{200} {3\sqrt{3}}}& =\pm s \\ s & = \pm \sqrt{\frac{200} {3\sqrt{3}}} \end{aligned}$ ignore the negative square root; lengths cannot be negative.so $s = \displaystyle\sqrt{\dfrac{200} {3\sqrt{3}}}$ calculator answer is 6.204032 units

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