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3 years ago

Keisha is solving the equation 7^x=9.

1 answer:

3 0

$\bf \textit{Logarithm of exponentials}\\\\
log_a\left( x^ b \right)\implies b\cdot log_a(x)\\\\
-------------------------------\\\\
7^x=9\implies \boxed{log(7^x)=log(9)}\implies x\cdot log(7)=log(9)
\\\\\\
x=\cfrac{log(9)}{log(7)}$

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Step-by-step explanation:

1. You know that the sum of two numbers is 54, then, you have:

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3 years ago

Sara is a drummer in her school is marching band she wants to make a geometrically similar model of a snare drum for her stuffed

strojnjashka [21]

Answer:

Option B.

Step-by-step explanation:

Let the radius of the snare drum = r

and radius of the model = R

Ratio of the dimensions of the snare drum and the model = 1 : 4

So, $\frac{r}{R}=\frac{1}{4}$

Now as per question, dimensions of the snare drum is multiplied by a scale factor of $\frac{1}{2}$

Radius of the snare drum = $\frac{r}{2}$

Ratio of the radius of the snare drum and cylindrical model ,

$\frac{\frac{r}{2}}{R} =\frac{1}{4}$

$\frac{r}{2R}=\frac{1}{4}$

$\frac{r}{R}=\frac{1}{2}$

Therefore, the cylinder with Sara's dimensions will be geometrically similar but the scale factor will be 1 : 2

Option B is the answer.

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3 years ago