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3 years ago

Find the exact area of the sector of the circle with the following radius and central angle

Mathematics

1 answer:

Lostsunrise [7]3 years ago

5 0

THe area of the whole circle is pi r^2 = 6^2 * pi = 36pi

There are 360 degrees in a crcle so this sectors area i (30/360) *36pi

= 3 pi

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Express 0.7 as a rational number.

quester [9]

7/10 is the rational number :)

6 0

3 years ago

When you multiply two complex numbers in polar form, what happens to the angles?

prisoha [69]

The angles get added.

Let z = r exp(i θ) and w = s exp(i φ). Then

zw = rs exp(i θ) exp(i φ) = rs exp(i (θ + φ))

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2 years ago

Enter your answer in the box. Be sure to enter your answer as an ordered pair (x,y). Meaning, put your answer in parenthesis.

vitfil [10]

Answer:

The solution of the system of equation are (10,15).

Step-by-step explanation:

The given two linear two variable equations are

- x - 2y = - 40 ........ (1) and

x + 4y = 70 .......... (2)

Now,adding thoes two equations (1) and (2) we get,

- 2y + 4y = - 40 + 70

⇒ 2y = 30

⇒ y = 15.

Now, putting y = 15 in the equation (2), we get,

x = 70 - 4y = 70 - 4(15) = 10

Therefore, the solution of the system of equation are (10,15). (Answer)

3 0

3 years ago

Which of the following sequences are not geometric? (check all that apply) a. 2,10,50,250,1250 b. 1,4,9,16,25,36 c. -4,-2,-1,-0.

Romashka [77]

A is geometric because each number is multiplied by 5.

B is not geometric because it is an arithmetic sequence.

C is a geometric sequence because each number is divided by 2.

D is neither geometric not arithmetic because there is no common ratio and there is not a pattern being added or subtracted to each number.

So, your answer should be B and D.

8 0

3 years ago

Mr. Engen rented a car for 35.00 a day and 0.45 a mile . He had the car for 2 days and paid 166.75 . How many miles did he drove

liubo4ka [24]

d = days rented for

m = miles driven for

so the cost of the car is 35 bucks a day and 45 cents or $0.45 per mile driven, let's check it out for say a few days

1st day, 3 miles......................35(1) + 0.45(3)

2nd day, 2 miles..................35(2) + 0.45(2)

3rd day, say 5 miles............35(3) + 0.45(5)

dth day, and m miles..........35d + 0.45m

so the cost function could be written as C = 35d+0.45m.

now, we know for 2 days, d = 2, it cost 166.75 bucks, so

$\bf C=35d+0.45m\implies \stackrel{C}{166.75}=35(\stackrel{d}{2})+0.45m\\\\\\166.75=70+0.45m\implies 96.75=0.45m\\\\\\\cfrac{96.75}{0.45}=m\implies 215=m$

7 0

3 years ago