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2 years ago

Find the value of A A: 18 B: 21 C: 20 D: 17

Mathematics

2 answers:

statuscvo [17]2 years ago

8 0

These are vertical angles so they are equal so

6a + 11 = 2a + 83

Solve for A

= 18

- Prodixy ☕

AnnZ [28]2 years ago

6 0

These are vertical angles so they are equal so

6a + 11 = 2a + 83

now solve for a

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What greater -3.509 or -5.20

GalinKa [24]

-3.509 is greater because -3.509 is closer to 0 than -5.2.

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3 years ago

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HIE

Nady [450]

Answer:

y = 3x-2

Step-by-step explanation:

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2 years ago

Precal help if you could could you answer both. Me finishing this helps me graduate.

oee [108]

Exercise 1:

The easiest way to compute powers of complex numbers is to write them in the form

$z = \rho e^{i\theta} = \rho(\cos(\theta)+i\sin(\theta))$

In this form, you have

$z^n = \rho^n e^{in\theta} = \rho^n(\cos(n\theta)+i\sin(n\theta))$

The magnitude of the number is given by

$z=a+bi \implies \rho = \sqrt{a^2+b^2}$

So, we have

$z=-1+\sqrt{3}i \implies \rho = \sqrt{1+3}=2$

As for the angle, we have

$z=a+bi \implies \theta = \text{atan2}\dfrac{b}{a}$

So, we have

$z=-1+\sqrt{3}i \implies \theta = \text{atan2}\left(\dfrac{-\sqrt{3}}{-1}\right) = -\dfrac{2\pi}{3}$

Finally,

$z=-1-\sqrt{3}i = 2\left(\cos\left( -\dfrac{2\pi}{3}\right) + i\sin\left( -\dfrac{2\pi}{3}\right)\right) \implies z^6 = 2^6\left(\cos\left( -4\pi\right) + i\sin\left(-4\pi\right)\right) = 64$

Exercise 2:

You simply have to compute the trigonometric function:

$\cos\left(-\dfrac{\pi}{4}\right) = \dfrac{\sqrt{2}}{2},\quad \sin\left(-\dfrac{\pi}{4}\right) = -\dfrac{\sqrt{2}}{2}$

So, we have

$z = \sqrt{2}\left(\dfrac{\sqrt{2}}{2} - i\dfrac{\sqrt{2}}{2}\right) = 1-i$

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2 years ago

Question<br> Solve: a + 294 = -305.<br> Provide your answer below:

Pepsi [2]

A = -599 if I read the question correctly

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2 years ago

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In a city the population is increasing exponentially at a rate of 1.6% per year.

SCORPION-xisa [38]

Answer:

37.36%

Step-by-step explanation:

Each year it increases 1.6%.

So year 1 it increases (1+1.6%), year 2 increases (1+1.6%)^2 and so on...

so after 20 years, overall increase is found by 1.016^20 = 1.3736 or increase of 37.36%

please give thanks :)

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2 years ago

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