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3 years ago

Express the complex number in trigonometric form.

Mathematics

1 answer:

Maru [420]3 years ago

7 0

-5i can be written as 0 + (-5)i
It is in the form a+bi where a = 0 and b =-5
So the point (a,b) is (0,-5)

The distance from the origin to this point is 5 units, therefore r = 5. This is the magnitude.

The angle is 270 degrees as shown in the attached image. You start on the positive x axis and rotate until you reach the point (0,-5)

This is why the answer is choice A) 5(cos(270) + i*sin(270))

You might be interested in

The number of typing errors made by a typist has a Poisson distribution with an average of two errors per page. If more than two

wlad13 [49]

Answer: 0.6767

Step-by-step explanation:

Given : Mean = $\lambda=2$ errors per page

Let X be the number of errors in a particular page.

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

Now, the probability that a randomly selected page does not need to be retyped is given by :-

$P(X\leq2)=P(0)+P(1)+P(2)\\\\=(\dfrac{e^{-2}2^0}{0!}+\dfrac{e^{-2}2^1}{1!}+\dfrac{e^{-2}2^2}{2!})\\\\=0.135335283237+0.270670566473+0.270670566473\\\\=0.676676416183\approx0.6767$

Hence, the required probability :- 0.6767

6 0

3 years ago

Please help I'm begging

Elina [12.6K]

The figure is made up of a cone and a cylinder.

Diameter = 16 ft
radius = 16÷2 = 8ft

Volume of the cone = 1/3bh
Volume of the cone = $\frac{1}{3} \pi r^{2} h$
Volume of the cone = $\frac{1}{3} \pi 8^{2}(6)$ = 402.12

Volume of the cyclinder = bh
Volume of the cylinder = $\ \pi r^{2} h$
Volume of the cylinder = $\ \pi 8^{2}(4)$ = 1206.37

Total = 402.12 + 1206.37 = 1608.49 cubic feet

6 0

2 years ago

Can you please help please please help me with this question please

Igoryamba

Answer:

9.99

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What's a unknown point thats y-coordinate is zero.

klemol [59]

Answer:

an unknown point? like 0,7 or 0,5 or 0,1 or 0,0 or 0,anything?

Step-by-step explanation:

4 0

2 years ago

Help please mathematics 22 -24

Pavel [41]

Answer: (22) $9,075 (23) $656.25 (24) $217.13

<u>Step-by-step explanation:</u>

Cost Function: C(x) = 5.75x + 8,000

C(10,000) = 5.75(10,000) + 8,000

= 57,500 + 8,000

= 65,500

Revenue Function: R(x) = 9.50x

R(7,850) = 9.50(7,850)

= 74,575

Profit Function: P(x) = R(x) - C(x)

= 74,575 - 65,500

= 9,075

*****************************************************************************

Retail = Unit Cost + Unit Cost × Markup

= $375 + $375 × .75

= $375 + $281.25

= $656.25

*****************************************************************************

$225 but if paid within 10 days there is a 3.5% discount

Discount = $225 - $225 × .035

= $225 - $7.88

= $217.13

8 0

2 years ago