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Mathematics 26 Online
OpenStudy (anonymous):

2 SAT questions

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

I'm not entirely sure how to do them.

OpenStudy (noelgreco):

Try the Pythagorean Theorem for the pyramid height. One side of a triangle is h, one is m, and the other is half a diagonal of the square base.

OpenStudy (anonymous):

I did, but I got h = 1.5m

OpenStudy (anonymous):

|dw:1347218873212:dw|

OpenStudy (anonymous):

\[h^2=(m/2)^2+m^2\] \[h^2=m^2/4+m^2=5m^2/4\]

OpenStudy (anonymous):

Ahh.....my math was wrong.

OpenStudy (anonymous):

\[h=m \sqrt{5}/2\]

OpenStudy (anonymous):

2 cars= 280000 k %\[28000*k/100=280k\]

OpenStudy (anonymous):

\[msqrt{5} \]/2 isn't an option.

OpenStudy (noelgreco):

The base of the triangle is not m/2. The diagonal of the square base is \[m \sqrt{2}\], so the base of the triangle is \[m \frac{ \sqrt{2} }{ 2 }\]

OpenStudy (noelgreco):

Use that and the answer is given.

OpenStudy (anonymous):

how is it msqrt2?

OpenStudy (noelgreco):

|dw:1347219892689:dw| \[m ^{2} + m ^{2} = d ^{2}\]

OpenStudy (noelgreco):

Additionally, right under Jonask's drawing is the incorrect formula \[h ^{2} = m ^{2} + (\frac{ m }{ 2})^{2}\]

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