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3 years ago

What is the perimeter of the regular octagon below?

Mathematics

1 answer:

prisoha [69]3 years ago

8 0

Im pretty sure it is 64 because all sides of a regular octagon should be congruent

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Find the percent of each number. 0.9 of 1000 =

Serggg [28]

Answer:

Step-by-step explanation:

3 0

3 years ago

What is the answer to 6+10(-6-4v)-9v

nordsb [41]

Answer:

-54-49v

Step-by-step explanation:

6+10(-6-4v)-9v

Expanding the brackets

6-60-40v-9v

-54-49v

3 0

3 years ago

4. Using the geometric sum formulas, evaluate each of the following sums and express your answer in Cartesian form.

nikitadnepr [17]

Answer:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=1$

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=0$

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})=\frac{1}{2}$

Step-by-step explanation:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=\frac{1}{2}(\sum_{n=0}^9 (e^{\frac{i\pi n}{2}}+ e^{\frac{i\pi n}{2}}))$

$=\frac{1}{2}(\frac{1-e^{\frac{10i\pi}{2}}}{1-e^{\frac{i\pi}{2}}}+\frac{1-e^{-\frac{10i\pi}{2}}}{1-e^{-\frac{i\pi}{2}}})$

$=\frac{1}{2}(\frac{1+1}{1-i}+\frac{1+1}{1+i})=1$

2nd

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=\frac{1-e^{\frac{i2\pi N}{N}}}{1-e^{\frac{i2\pi}{N}}}$

$=\frac{1-1}{1-e^{\frac{i2\pi}{N}}}=0$

3th

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})==\frac{1}{2}(\sum_{n=0}^\infty ((\frac{e^{\frac{i\pi n}{2}}}{2})^n+ (\frac{e^{-\frac{i\pi n}{2}}}{2})^n))$

$=\frac{1}{2}(\frac{1-0}{1-i}+\frac{1-0}{1+i})=\frac{1}{2}$

What we use?

We use that

$e^{i\pi n}=cos(\pi n)+i sin(\pi n)$

and

$\sum_{n=0}^k r^k=\frac{1-r^{k+1}}{1-r}$

6 0

4 years ago

George went to the supermarket and he bought bananas for his monkeys. They were $5.99. He got a family discount because his wife

Solnce55 [7]

Answer:

5.74

Step-by-step explanation:

6 0

3 years ago

The image below is a triangle drawn inside a circle with center O: Which of the following expressions shows the area, in square

s344n2d4d5 [400]

We know that
[area of a circle ]=pi*r²
diameter=4 in
r=4 in/2-----> 2 in

so
area=pi*2²-----> area of the circle=4*pi in²

the answer is
the area, in square inches, of the circle is <span>3.14 • 2²</span>

8 0

3 years ago

Read 2 more answers