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