A circle with a area 9 pie has a sector with a central angle of 60 degrees

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

4 0

Answer:

4.71 square units

Step-by-step explanation:

$central \: \angle \: ( \theta) = 60 \degree \\ \\ area \: of \: sector \\ = \frac{\theta}{360 \degree } \times area \: of \: circle \\ \\ = \frac{60 \degree }{360 \degree } \times 9\pi \\ \\ = \frac{1}{6} \times 9\pi \\ \\ = 1.5\pi \\ = 1.5 \times 3.14 \\ = 4.71 \: {units}^{2} \\ \\ \red{ \bold{ area \: of \: sector = 4.71\: {units}^{2} }} \\$

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Which statement is true?

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$y=log_{1} x$ is not a logarithmic function because the base is equal to 1.

Step-by-step explanation:

A logarithmic function is of the form: $y=log_{b}x$

For a logarithmic function to exist, we must fulfill certain conditions. The conditions are

i. The base, $b$ , is greater than 0. ${b>0)$

ii. The base, $b$ , is not equal to 1. $(b\ne 1)$

iii. $x$ must be greater than 0. $(x>0)$

Now, if we observe all the choices given, we conclude that the third choice is correct as the base there is 1. If base is equal to 1, then it violates the definition of logarithmic functions. So, the correct choice is:

$y=log_{1} x$ is not a logarithmic function because the base is equal to 1.

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3 years ago

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