Help me with this ASAP PLEASE!!!❤️

Mathematics

1 answer:

DaniilM [7]3 years ago

7 0

The third one its already in order

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Rationalize the denominator and simplify. StartFraction 5 minus StartRoot 3 EndRoot Over 4 plus 2 StartRoot 3 EndRoot EndFractio

nasty-shy [4]

Answer:

$\frac{13-7\sqrt{3}}{2}$

Step-by-step explanation:

We need to rationalize the denominator of $= \frac{5-\sqrt{3}}{4+2\sqrt{3}}$ . For rationalizing we multiply the equation by $\frac{4-2\sqrt{3}}{4-2\sqrt{3}}$

So, solving

$= \frac{5-\sqrt{3}}{4+2\sqrt{3}}*\frac{4-2\sqrt{3}}{4-2\sqrt{3}} \\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{4+2\sqrt{3}*4-2\sqrt{3}}\\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{(4)^2-(2\sqrt{3})^2}\\= \frac{5(4-2\sqrt{3})-\sqrt{3}(4-2\sqrt{3})}{16-(4*3)}\\=\frac{20-10\sqrt{3}-4\sqrt{3}+2*3}{16-12}\\=\frac{20+6-14\sqrt{3}}{4}\\=\frac{26-14\sqrt{3}}{4}\\= \frac{2(13-7\sqrt{3})}{4}\\=\frac{13-7\sqrt{3}}{2}$

5 0

3 years ago

Solve for n. Round to the nearest tenth, if necessary. <br><br> 47/n = 36/54

svp [43]

$\dfrac{36}{54}=\dfrac{36:18}{54:18}=\dfrac{2}{3}\\\\\dfrac{47}{n}=\dfrac{2}{3}\ \ \ |cross\ multiply\\\\2\cdot n=3\cdot47\\\\2n=141\ \ \ \ |divide\ both\ sides\ by\ 2\\\\n=\dfrac{141}{2}\\\\\boxed{n=70.5}$

7 0

3 years ago

Read 2 more answers

Which of the follwing regular polygons can make a tessellation?

Elodia [21]

I think it's square and hexagon.

6 0

2 years ago

8. The cone below has a diameter of 8 inches and a height of 20 inches. The

IRINA_888 [86]

Answer: A 2

Step-by-step explanation: