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avanturin [10]
3 years ago
6

Z--3/4=6 1/2 Help I have homework

Mathematics
2 answers:
Andre45 [30]3 years ago
8 0
In my opinion, it is easier to use decimals than fractions, so first we are going to rewrite this equation with decimals instead of fraction values.

z - 0.75 = 6.5

To simplify this equation, we are going to add 0.75 to both sides of the equation, to cancel out this value on the left side.

z= 7.25

Your final answer is=7.25 or 7 1/4
GarryVolchara [31]3 years ago
6 0
Two negatives is a positive so the equation is Z+3/4=13/2
-3/4
Z=26/4-3/4
Z=23/4
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Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²

Face diagonal is a hypotenuse of a right triangle which sides are a and a:
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D² = f² + a²
f² = 2a²

D² = 2a² + a² = 3a²
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Volume of a cube with side a is: V = a³
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V = a³ = (D/√3)³

We have:
D = 8√2 in

V= (\frac{D}{ \sqrt{3} } )^{3} =( \frac{8 \sqrt{2} }{ \sqrt{3} } )^{3}=( \frac{8 \sqrt{2} * \sqrt{3} }{ \sqrt{3}* \sqrt{3}} )^{3} =( \frac{8 \sqrt{2*3} }{ \sqrt{3*3}} )^{3} =( \frac{8 \sqrt{6} }{ \sqrt{3^{2} }} )^{3} =( \frac{8 \sqrt{6} }{ 3} )^{3} = \\ \\ = \frac{ 8^{3} *( \sqrt{6} )^{3}}{3^{3}} = \frac{512* \sqrt{6 ^{2} }* \sqrt{6} }{27} = \frac{512*6* \sqrt{6} }{27} = 114sqrt{6}
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