A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?

Answers

Answer 1

Answer: A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?
The area of the circle will be found as follows:
the fraction of the sector=15/360=1/24
the area of the circle will be:
area=(fraction of the circle)/(fraction of the sector)*(area of the sector)
=1/(1/24)×11.9
=285.6 m²

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The value of the Euler \phi function (\phi is the Greek letter phi) at the positive integer n is defined to be the number of positive integers less than or equal to n that are relativel prime to n, For example for n=14, we have {1, 3, 5, 9, 11, 13} are the positive integers less than or equal to 14 which are relatively prime to 14. Thus \phi (14) = 6.Find the following:\phi(9) = __________.\phi(15) = __________.\phi(75) =__________.

Answers

Answer:

$\bf \phi (9)=5$

$\bf \phi (15)=8$

$\bf \phi (75)=40$

Step-by-step explanation:

Positive integers relative primes to 9 which are less or equal than 9

{1,2,4,5,7}

$\bf \phi (9)=5$

Positive integers relative primes to 15 which are less or equal than 15

{1,2,4,7,8,11,13,14}

and

$\bf \phi (15)=8$

Positive integers relative primes to 75 which are less or equal than 75

{1,2,4,7,8,11,13,14,16,17,19,22,23,26,28,29,31,32,34,37,38,41,43,44,46,47,49,52,53,56,58,59,61,62,64,67,68,71,73,74}

and

$\bf \phi (75)=40$

As a student give one reason why we need to know if our client is comfortable in our service

Answers

Answer:

you need to know if your client is comfortable in your service so that if he or she is not comfortable you correct you mistake and make he or she comfortable

Step-by-step explanation:

What is 6,720 divided by 14??

Answers

480 because 6,720 divided by 14 is 480

$(a^(2)-1)/(2-5a) times (15a-6)/(a^(2)+5a-6)$ click on answer to see full problem

Answers

$\bf \cfrac{a^2-1}{2-5a}* \cfrac{15-6}{a^2+5a-6}\n\n-----------------------------\n\nrecall\quad \textit{difference of squares}\n \quad \n(a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\n\nthus\quad a^2-1\iff a^2-1^2\implies (a-1)(a+1)\n\n\nnow\quad a^2+5a-6\implies (a+6)(a-1)\n\n-----------------------------\n\nthus\n\n\n\cfrac{a^2-1}{2-5a}* \cfrac{15-6}{a^2+5a-6}\implies \cfrac{(a-1)(a+1)}{2-5a}* \cfrac{3(5a-2)}{(a+6)(a-1)}\n\n-----------------------------\n\n$

$\bf now\quad 3(5a-2) \iff -3(2-5a)\n\n-----------------------------\n\nthus\n\n\n\cfrac{\underline{(a-1)}(a+1)}{\underline{2-5a}}* \cfrac{-3\underline{(2-5a)}}{(a+6)\underline{(a-1)}}\implies \cfrac{-3(a+1)}{a+6}$

7th grade mathThe sales tax on an item is 6.5%. The total cost of the item is the price, p, plus the tax. Which expression represents the total cost?
A. 0.935p B. p + 1.065p C. 1.065p D. p + 6.5p

Answers

Answer:

Step-by-step explanation:

You add tax to the price not multiply

Answer:1.065p

Step-by-step explanation:

Divide the following polynomial.

(x^2 - 4) (x - 1)

Answers

(x2 + x + 2) • (x - 2)

—————————

x - 1

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