1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
chubhunter [2.5K]
3 years ago
13

Find the sum of the interior angle measures of a convex octagon

Mathematics
1 answer:
muminat3 years ago
8 0


The sum of the interior angles of any polygon is always . . .

     (180 degrees ) times (2 less than the number of sides in the polygon) .

It doesn't matter whether the polygon is regular, haphazard, convex,
or all mangled and squashed etc.  The only thing that matters is
how many sides it has.

The octagon has 8 sides.  So the sum of interior angles is . . .

     (180 degrees) times (8 - 2) = (180 x 6) = <em>1,080 degrees</em>


You might be interested in
I can't figure out how to do (i + j) x (i x j)for vector calc
Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}

Then, solving the determinant

\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}

In our case,

\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}

Where we used the formula for AxB to calculate ixj.

Finally,

\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}

Thus, (i+j)x(ixj)=i-j

8 0
1 year ago
If the volume of a cube is 1728cm^3 find its length of its side​
Shalnov [3]

Answer:

it's a very easy one and it's answer is 1728

7 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST AND THANKS AND RATING!
Lorico [155]
8 is 6.2
9 is 7
The pattern here is +0.8.
4.6 - 3.8=0.8
5.4-4.6=0.8, and so on
6 0
3 years ago
Round 5049 correct to 1 significant figure​
Step2247 [10]

5000

  • Addition (+) and subtraction (-) round by the least number of decimals.
  • Multiplication (* or ×) and division (/ or ÷) round by the least number of significant figures.
  • Logarithm (log, ln) uses the input's number of significant figures as the result's number of decimals.
  • Antilogarithm (n^x.y) uses the power's number of decimals (mantissa) as the result's number of significant figures.
  • Exponentiation (n^x) only rounds by the significant figures in the base.
  • To count trailing zeros, add a decimal point at the end (e.g. 1000.) or use scientific notation (e.g. 1.000 × 10^3 or 1.000e3).
  • Zeros have all their digits counted as significant (e.g. 0 = 1, 0.00 = 3).
  • Rounds when required, after parentheses, and on the final step.

<em>-</em><em> </em><em>BRAINLIEST </em><em>answerer</em><em> ❤️</em>

7 0
2 years ago
Read 2 more answers
Which equation represents this statement? One-third of a number is 21.
Musya8 [376]
This states that a number divided by 3 is 21. the equation is: n/3 = 21
5 0
3 years ago
Other questions:
  • Suppose a florist is creating a bouquet with 3 different types of flowers and 3 different types of greenery. If there are 7 type
    9·1 answer
  • I need his done its math helppp
    10·1 answer
  • If the measure of angle ABC is 57 degrees, what is the measure of arc AB
    7·2 answers
  • Single entry moans ???
    6·1 answer
  • P=3L-3W solve for L (literal equation)
    15·1 answer
  • Help please ASAP ill mark u whateve ru want
    11·2 answers
  • The expression 146 ÷ 144 is equal to _____. <br> A) 142 <br> B) 2<br> C) 14^10<br> D) 1
    7·2 answers
  • You've decided you want to plan for your room. At the gardening store, there are four different kinds of plants (two lip, firm,
    14·1 answer
  • slope and y-intercept from graphs, I don't know if I am right and I don't know how to finish it even tho I have noted, can someo
    12·2 answers
  • Find the coordinates of the midpoint of each segment formed by the given points. (-4-4) &amp; (4-4).
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!