Answer: " m = zC / (C − z) " .
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Explanation:
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Given: 1/C + 1/m = 1/z ; Solve for "m".
Subtract "1/C" from each side of the equation:
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1/C + 1/m − 1/C = 1/z − 1/C ;
to get: 1/m = 1/z − 1/C ;
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Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
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mzC {1/m = 1/z − 1/C} ;
to get: zC = mC − mz ;
Factor out an "m" on the "right-hand side" of the equation:
zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;
zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24
zC/ (C − z) = m ; ↔ m = zC/ (C − z) .
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Answer:
A) Yes the 2 triangles are similar by SSS Similarity and SAS Similarity
Step-by-step explanation:
SSS:
ST/SU = SW/SV = WT/VU
60/70 = 48/56 = 30/35
6/7 = 6/7 = 6/7
SAS:
ST/SU = SW/SV = 6/7 (look at SSS proving)
Angle S = Angle S because they are reflexive or the same angles
Answer:
The exact value of
sin
(
30
)
sin(30) is
1
2
12.
15
⋅
1
2
15⋅12
Combine
15
15 and
1
2
12.
15
2
152
The result can be shown in multiple forms.
Exact Form:
15
2
152
Decimal Form:
7.5
7.5
Mixed Number Form:
7
1
2
712
Step-by-step explanation:
Answer:
8t(t - 5)^2
Step-by-step explanation:
I would immediately rearrange these terms in descending order by powers of t:
8t^3 - 80t^2 + 200t
Then I'd factor out 8t:
8t(t^2 - 10 t + 25).
Finally, I'd factor the quadratic t^2 - 10 t + 25:
(t - 5)^2
and so 200t+8t^3-80t^2 in factored form is 8t(t - 5)^2.
The inequality that would represent the amount that could be spent on glue, p is:
p <$9
You will determine this by subtracting 23 and 14 to get $9. If this is $9, that means you will spend less that that, because you will spend more that the $14 on the other supplies.