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3 years ago

What is the value of n ?

Mathematics

1 answer:

suter [353]3 years ago

8 0

The angles 131°; 160° and n° are the exterior angles of the triangle.

The sum of measure of an exterior angles of the triangle is equal 360°.

Therefore we have the equation:

$131^o+160^o+n^o=360^o\\\\291^o+n^o=360^o\ \ \ \ |-291^o\\\\n^o=69^o$

Answer: A. 69°

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A sheet of glass has a density of 2.5 g/cm3. what is the density of the glass in kg/m3

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Answer:

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Step-by-step explanation:

2.5 g converted to kg: 2.5 g x 1 kg/1000 g = 0.0025 kg = 2.5x10-3 kg

cm3 converted to m3: 1 cm3 x 10-6 m3/cm3 = 1x10-6 m3

Thus, the conversion of 2.5 g/cm3 to kg/m3 would be 2.5x10-3 kg/10-6 m3 = 2.5x103 kg/m3 = 2500 kg/m3

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Llana [10]

Answer:

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Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

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Division rule:

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$log_b(x^n) = n\cdot log_b(x)$

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$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

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$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

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