3 years ago

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Mathematics

1 answer:

Sloan [31]3 years ago

8 0

Answer:

78.54

Step-by-step explanation:

The formula is $A = \pi r^2\\$ . So, substitute the values into the equasion and get the answer.

According to the order of operations, we square the radius first, then multiply by pi. 5^2 = 25. 25 * pi = 78.5398163397. I just rounded it to the nearest hundereth.

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A rectangle is twice as long as it is wide the area is 72 find the length

Bingel [31]

Area=lw
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aera=2l^2
72=area

72=2l^2
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4 0

3 years ago

X=? Y=6<br> 75 degree angle at (0,0)<br> What is X?

choli [55]

Answer:

$X=12-6\sqrt{3}=1.6077$

Step-by-step explanation:

Given that $Y=6$

$\tan(75)=\frac{Y}{X} \\X=\frac{Y}{\tan(75)}=Y\cot75=6\cot75 \\\\Calculate \ \cot(75)\\\tan(75)=\tan(45+30)=\frac{\tan45+\tan30}{1-\tan45 \cdot \tan30} =\frac{1+\frac{1}{\sqrt{3} } }{1-\frac{1}{\sqrt{3} } } \\\tan75=\frac{\sqrt{3}+1 }{\sqrt{3}-1 } =2+\sqrt{3} \\\cot75=\frac{1}{2+\sqrt{3} } =\frac{2-\sqrt{3} }{2^2-3} =2-\sqrt{3} \\\\Hence\\X=6\cot75=6 \cdot(2-\sqrt{3})\\X=12-6\sqrt{3} \approx1.6077$