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3 years ago

13

The formula for the volume of a cube is V = s³, where s represents the side length of the cube. If a cube has a side length of 4

½ centimeters, what is the volume of the cube? Write your answer as a fraction and a decimal

2 answers:

Alla [95]3 years ago

7 0

Answer:

91.125 or 729/8

Step-by-step explanation:

take 4.5^3 to get 91.125

mr Goodwill [35]3 years ago

5 0

Answer:

7

Step-by-step explanation:

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

3 years ago

Please help<br><br>answer choices are:<br><br>A. 46°<br><br>B. 67°<br><br>C. 115°<br><br>D. 134°

bekas [8.4K]

Answer:

134°

Step-by-step explanation:

∠BAC = ∠BCA because it is an isosceles triangle

∠XCA = ∠XAC . Congruent angles

∠XAC = 1/2(46) = 23° . because CE bisects ∠ C

∠XCA = 23°

180° - 23° - 23° = 134° . Sum of all angles in a triangle is 180°

If my answer is incorrect, pls correct me!

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