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3 years ago

Express the complex number in trigonometric form.

Mathematics

1 answer:

Korvikt [17]3 years ago

8 0

Answer:

2(cos(180°) + i·sin(180°))

Step-by-step explanation:

The point -2 in the complex plane is on the negative real axis. The angle that makes with the positive real axis is 180°. The point is 2 units from the origin, so the desired form of the number is ...

(units from the origin)(cos(angle) + i·sin(angle))

= 2(cos(180°) +i·sin(180°))

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15 points please answer asap

Natali [406]

<h2>Hello!</h2>

The answer is:

The area of this figure is 946 square inches.

We can see that the figure is composed by two rectangles with diferrent dimensions, so, to calculate the area of the entire figure.

So,

For the first rectangle, we have:

$Base=7in\\Height=28in$

The area will be:

$Area=Base*Height=7in*28in=196in^{2}$

For the second rectangle, we have:

$Base=25in\\Height=30in$

The area will be:

$Area=Base*Height=30in*25in=750in^{2}$

Now, calculating the area of the entire figure, we have:

$TotalArea=FirstRectangleArea+SecondRectangleArea\\\\TotalArea=196in^{2}+750in^{2}=946in^{2}$

Have a nice day!

6 0

2 years ago

A pair of tangents to a circle which is inclined to each other at an angle of 60 degree are drawn at ends of two radii. The angl

Sever21 [200]

Answer:

The angle between these radii must be 120º.

Step-by-step explanation:

According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.

Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:

$\theta = 180^{\circ}-90^{\circ}-30^{\circ}$

$\theta = 60^{\circ}$

And the angle between these two radii is twice the result.

$\theta' = 2\cdot \theta$

$\theta' = 120^{\circ}$

The angle between these radii must be 120º.

5 0

3 years ago

(10 points) help needed for math

Whitepunk [10]

25 and 60 as the parallel lines means they have wth same gradient

5 0

3 years ago

bill has a bike that weights 56 pounds . magda has a bike that weights 52 pounds. she add a bell and a basket to her bike. the b

pickupchik [31]

No because she's adding ounces plus 2 pounds so she's up to 54 pounds so... plus the 12 ounces and 8 ounces, and 12 ounces into 1 pound would be 0.75 so it's almost a pound....then 8 ounces into a pound would be 0.5 pounds so if you add the two 0.75 and 0.5 you would get 1.25 pounds... so 1.25 plus 54 pounds would not be 56 pounds...So No. Please mark brainliest:)!

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2 years ago

Suppose that the area between a pair of concentric circles is 49pi. Find the length of a chord in the larger circle that is tang

Lapatulllka [165]

Answer:

14 units

Step-by-step explanation:

We are given that the area between two concentric circles is $49\pi$