Mathematics
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OpenStudy (anonymous):
What does it mean to refer to a 20 in TVor 25 in-TV set. A 20 in TV set also has a width of 16 inches, what is the height
14 years ago
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OpenStudy (anonymous):
TV are measured in diagonal
14 years ago
OpenStudy (anonymous):
20in is the diagonal. so use the pythagorean theorem (a^2 + b^2 = c^2) to solve.
14 years ago
OpenStudy (anonymous):
what is the height
14 years ago
OpenStudy (anonymous):
solve using pythagorean formula. width squared + height squared = diagonal squared. (hint: this looks like a 3-4-5 triangle).
14 years ago
OpenStudy (anonymous):
I came up with 17 inches
14 years ago
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OpenStudy (anonymous):
that is not possible.
14 years ago
OpenStudy (anonymous):
\[20 = \sqrt{16^2 + height^2}\]\[400 = 16^2 + height^2\]\[400 = 256 + height^2\]\[144 = height^2\]\[height = ???\]
14 years ago
OpenStudy (anonymous):
the way I wrote it was 16^2+b^2=18^2, 256+b^2=324, b^2=324-256,256/2=68/2=14/2=17
14 years ago
OpenStudy (anonymous):
where'd you get 18? your question said the diagonal was 20.
14 years ago
OpenStudy (anonymous):
I think I added 16+2
14 years ago
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OpenStudy (anonymous):
why?
14 years ago
OpenStudy (anonymous):
I am confuse Ithis is my 1 time doing algebra
14 years ago
OpenStudy (anonymous):
OK. my first post may have confused you. I meant: \[a^2 + b^2 = c^2\](otherwise known as the pythagorean theorem)
14 years ago
OpenStudy (anonymous):
so \[16^2 + b^2 = 20^2\]
14 years ago
OpenStudy (anonymous):
but if you recognize that one side is 16, and the diagonal is 20, you might remember that this is a common 3-4-5 right triangle with sides that are 4x longer...
14 years ago
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OpenStudy (anonymous):
so will it make it 4
14 years ago
OpenStudy (anonymous):
so you're telling me \[16^2 + 4^2 = 20^2\]???
14 years ago
OpenStudy (anonymous):
I still can't get it sorry
14 years ago
OpenStudy (anonymous):
\[a^2+b^2=c^2\]\[b^2=c^2-a^2\]\[b^2=20^2-16^2\]\[b^2=400-256\]\[b^2=144\]\[b=???\]
14 years ago
OpenStudy (anonymous):
you understand that \[a^2=a \times a\]right?
14 years ago
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OpenStudy (anonymous):
yes
14 years ago
OpenStudy (anonymous):
is it 72
14 years ago
OpenStudy (anonymous):
Then I divide by 2
14 years ago
OpenStudy (anonymous):
\[b \times b=144\]
14 years ago
OpenStudy (anonymous):
there's no dividing here. it's squares and square roots.
14 years ago
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OpenStudy (anonymous):
what times itself is 144?
14 years ago
OpenStudy (anonymous):
12
14 years ago
OpenStudy (anonymous):
:-) !!!!!!!!!!!
14 years ago
OpenStudy (anonymous):
so it's a 3-4-5 triangle with sides 4x as large: 12-16-20
14 years ago
OpenStudy (anonymous):
Thank you was confuse with dividing instad of square root
14 years ago
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OpenStudy (anonymous):
no problem.
14 years ago
OpenStudy (anonymous):
I have one more question
14 years ago
OpenStudy (anonymous):
ok...
14 years ago
OpenStudy (anonymous):
Square root ^x15would that be 3
14 years ago
OpenStudy (anonymous):
complete the expression
14 years ago
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OpenStudy (anonymous):
I can't understand what you wrote...
14 years ago
OpenStudy (anonymous):
what does "square root ^x15" mean?
14 years ago
OpenStudy (anonymous):
its a square root sign 5x on the outside andx^15 inside
14 years ago
OpenStudy (anonymous):
\[\sqrt[5]{x^{15}}\]???
14 years ago
OpenStudy (anonymous):
yes
14 years ago
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OpenStudy (anonymous):
\[\sqrt[5]{x^{15}}=(x^{15})^\frac{1}{5}=x^{15\times\frac{1}{5}}=x^3\]
14 years ago
OpenStudy (anonymous):
So i just left off the x
14 years ago