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3 years ago

What is the measure of each interior angle of a regular octagon ?

Mathematics

2 answers:

Sphinxa [80]3 years ago

8 0

Answer: 135°

Step-by-step explanation: In this problem, we're asked to find the measure of each interior angle of a regular octagon.

So let's use our formula for finding the measure of

each interior angle of a regular octagon which is $\frac{180(n - 2)}{n}$ .

In this formula, <em>n</em> represents the

number of sides of the polygon.

Remember that an octagon is a polygon that has 8 sides

so we plug a 8 in for <em>n</em> and we have $\frac{180(8 - 2)}{8}$ .

Simplifying across the top, (8 - 2) is 6so we have $\frac{180(6)}{8}$ .

180(6) is 1,080 so we have $\frac{1,080}{8}$ and

1,080 divided by 8 gives us 135.

So the measure of each interior angle of a regular octagon is 135°.

I have also attached my work below.

hodyreva [135]3 years ago

6 0

Answer:

135 degrees

Step-by-step explanation:

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3 years ago

38600 mg = n dag what does n equal???

Vlad [161]

Answer:
n = 3.68

Explanation:
We know that:
1 mg is equivalent to 0.0001 dag
To convert 38600 mg to dag, we will simply use cross multiplication as follows:
1 mg ..............> 0.0001 dag
38600 mg ......> n

n = (38600*0.0001) / 1
n = 3.68

Hope this helps :)

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3 years ago

Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as: