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3 years ago

15

The sum of the interior angles of a triangle is 180 degrees, of a quadrilateral is 360 degrees, and of a pentagon is 540 degrees

. Assuming this pattern continues, find a sum of the interior angles of a dodecagon

1 answer:

Wittaler [7]3 years ago

6 0

A dodecaegon has 12 angles, adding up to 1800 interior degrees

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Please help asap!!<br>Graph (x, y): x + 2y 6

sergiy2304 [10]

The answer is (, )=(6−2, )

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3 years ago

X<br> f(x) =<br> x2 + 4x<br> .<br> x2_4

PtichkaEL [24]

The answer is 1/(x+4)
Explanation:
You would factor out the denominator
So,
(X-4)(x+4)=x^2-16
So, x-4/(x+4)(x-4)
Then x-4 cancels each other out from the numerator and denominator
Leaving 1/x+4

6 0

3 years ago

Solve using demoivres theorem

pashok25 [27]

It's difficult to make out, but I think the task is to expand

$(\sqrt3-i)^4$

Write the number in polar form first:

$\sqrt3-i=2e^{-i\pi/6}$

By DeMoivre's theorem, you have

$(\sqrt3-i)^4=\left(2e^{-i\pi/6}\right)^4=2^4e^{-i4\pi/6}=16e^{-i2\pi/3}$

and converting back to Cartesian form, this number is equivalent to

$16\left(\cos\dfrac{2\pi}3-i\sin\dfrac{2\pi}3\right)=16\left(-\dfrac12+-\dfrac{\sqrt3}2\right)=-8(1+i\sqrt3)$

3 0

3 years ago

A cooler contains ten bottles of sports drink: four lemon-lime flavored, three orange-flavored, and three fruit-punch flavored.

Alika [10]

Since there are a total of 10 bottles, the probability of getting a certain one is based on the number of those bottles in the cooler.

The probability of getting a lemon-lime flavored drink is 4/10 or 40%.

The probability of getting a orange flavored drink is 3/10 or 30%

The probability of getting a fruitpunch flavored drink is also 3/10 or 30%.

If the question is asking what the probability is of choosing lemon-lime, fruit punch and fruit punch again in that order, you would multiply the probabilities together.

.4 * .3 * .3 = .036, so there’s a 3.6% chance of picking these exact 3 flavors happening again.

6 0

3 years ago

Read 2 more answers

What are rational numbers

Sophie [7]

A rational number is a number that can be written as a fraction or "ratio".
It includes the set of integers because all of them have a denominator of 1. A rational number can take on the form of $\frac{a}{b}$ where b ≠ 0. Terminating and repeating decimals are rational numbers because they too can be written as a ratio; for example, 0.3 = $\frac{3}{10}$ or 0.3333... = $\frac{1}{3}$ .

7 0

3 years ago