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3 years ago

If an exterior angle of a regular polygon is 21.2Â°, how many sides does the polygon have?

Mathematics

1 answer:

sesenic [268]3 years ago

3 0

360 divided by x = 21.2 recurring
So rearrange that to get x = 360 divided by 21.2
Which rounds up to 17

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PLEASE HELP!!!! Which of these pair of functions are inverse functions?

Mamont248 [21]

Answer:

Option B and C are correct.

Step-by-step explanation:

Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:

$f(g(x)) = g(f(x)) = x$ for every x∈R.

Let $f(x) = \frac{1}{2}(\ln(\frac{x}{2}) -1)$ and $g(x) = 2e^{2x+1}$

Use logarithmic rules:

$ln e^a = a$

$e^{lnx} = x$

$\ln a^b = b\ln a$

then, by definition;

$f(g(x)) = f(2e^{2x+1}) =\frac{1}{2}(\ln(\frac{2e^{2x+1}}{2})-1)$ = $\frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x$

$g(f(x)) = g(\frac{1}{2}(\ln(\frac{x}{2}) -1)) = 2e^{2({\frac{1}{2}(\ln(\frac{x}{2}) -1})+1$ $2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x$

Similarly;

for $f(x) = \frac{4 \ln(x^2)}{e^2}$ and $g(x) = e^{\frac{e^2 \cdot x}{8} }$

then, by definition;

$f(g(x)) = f(e^{\frac{e^2 \cdot x}{8}}) =\frac{4 \ln {(\frac{e^2 \cdot x}{8})^2}}{e^2}$ = $\frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x$

Similarly,

g(f(x)) = x

Therefore, the only option B and C are correct. As the pairs of functions are inverse function.

3 0

3 years ago

Find the difference : 1 - 0.4308 PLEEASE ANSWER WILL MARK BRAINLIEST PLEASE ANSWER

tiny-mole [99]

Answe - 0. 5692

Step-by-step explanation:

the step is only to let 1 be 10000 and then subtract 4308 from 10000 and it u have any confusion then u can also check it by adding the answer with 4308

and that's it.

If u think it's helpful then plz share to ur friends too.

4 0

3 years ago

joe has a collection of 35 dvd movies. he received 8 of them as gifts. joe bought the rest of his movies over 3 years . if the b

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3 years ago

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How to solve 4x-c=k solve for x

Tresset [83]

Answer:

$x = \frac{k + c}{4}$

Step-by-step explanation:

Given:

$4x - c = k$

Solve for:

$x$

Solution:

(1) Let's move all of components that do not contain $x$ (our target) to the right side (notice the change of sign of $c$ from negative to positive):

$4x = k + c$

(2) Let's divide both sides of equation by 4:

$\frac{4x}{4} = \frac{k + c}{4}$

(3) Now, we simplify the left side:

$x = \frac{k + c}{4}$

This is the solution.

Hope this helps!

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3 years ago

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3 years ago

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