What is the length of stack E C with bar on top in the rectangular prism? Round to the nearest tenth of a centimeter.
A.
7.5 cm
B.
9.4 cm
C.
12.6 cm
D.
15.3 cm
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OpenStudy (anonymous):
OpenStudy (anonymous):
@Michele_Laino i got d
OpenStudy (michele_laino):
we have to compute this:
\[EC = \sqrt {E{G^2} + C{G^2}} = \sqrt {\left( {{8^2} + {5^2}} \right) + {{12}^2}} = ...?\]
since:
\[E{G^2} = {8^2} + {5^2}\]
OpenStudy (anonymous):
9.4
OpenStudy (anonymous):
oh wait that is what i got
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OpenStudy (anonymous):
is that right
OpenStudy (michele_laino):
no, since you wrote EG, whereas we want to know what is EC
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OpenStudy (michele_laino):
we have to compute that first
OpenStudy (anonymous):
288 then squared is 17
OpenStudy (anonymous):
then 17 times 6 is 102
OpenStudy (anonymous):
because area of rectangle= bh
OpenStudy (michele_laino):
wait, we have a triangle, so the area is:
(17*6)/2=...?
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OpenStudy (michele_laino):
sorry we have a rectangle, so you are right!
OpenStudy (anonymous):
one more
OpenStudy (michele_laino):
area is 102 in^2
OpenStudy (michele_laino):
ok! I'm ready!
OpenStudy (anonymous):
sorry i cant help right now im a little busy sorry
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OpenStudy (anonymous):
What is the area of the equilateral triangle? Round to the nearest square centimeter.
cm2
Equilateral triangle A B C with side length of eight centimeters
OpenStudy (anonymous):
you dont need the pic. each side is 8
OpenStudy (michele_laino):
do you know the Heron's formula?
OpenStudy (anonymous):
no
OpenStudy (michele_laino):
if not, look at this drawing:
|dw:1426284316542:dw|
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OpenStudy (michele_laino):
we have to compute this, first:
\[CH = \sqrt {B{C^2} - B{H^2}} = \sqrt {{8^2} - {4^2}} = ...?\]
OpenStudy (anonymous):
6.9
OpenStudy (anonymous):
or 7
OpenStudy (michele_laino):
it is 7
OpenStudy (anonymous):
okay now what
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OpenStudy (michele_laino):
so, the area is:
\[{\text{Area = }}\frac{{{\text{base }} \times {\text{ height}}}}{2} = \frac{{8 \times 6.9}}{2} = ...?\]