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3 years ago

The circumference of a circle is 36 cm.

Mathematics

1 answer:

dusya [7]3 years ago

6 0

18cm (A). Remember to get the radius when you have the circumference is to ALWAYS divide it by 2. 36/2 = 18

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Which number can each term if the equation be multiplied by to eliminate the decimals before solving

natima [27]

Answer is c 10 eliminate the decimal l

6 0

3 years ago

Can someone please solve both of these showing all the steps I'll add extra points because its two

EastWind [94]

Answer:

4. 21

5. 32

Step-by-step explanation:

First question:

sin(x) = opp/hyp = 22/63 = 0.3492

x = sin⁻¹(0.3492)

20.43. Rounded to the nearest degree, it would be 21.

Second question:

sin(x) = opp/hyp = 18/34 = 0.5294

x = sin⁻¹(0.5294)

31.96. Rounded to the nearest degree, it would be 32.

Let me know if you have any problems.

3 0

3 years ago

Can you help me plz

Alex73 [517]

9514 1404 393

Answer:

y = x + 4

Step-by-step explanation:

To find the constant in the equation, look in the table for the value of y when x=0. That value is 4, so ...

y = x + 4

6 0

3 years ago

A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study

Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write $R=PC$ .

Per price increase is $20. So four price increase is $ $20*4=$80$ . Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, $4*2=8$ customers are reduced. Hence, total customers is $30-8=22$ .

So Total Revenue is:

$R=180*22=3960$

B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

$R=(100+2x)(30-2x)=-40x^{2}+400x+3000$

C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as $x=-\frac{b}{2a}$ , where a is the coefficient of $x^{2}$ and b is the coefficient of x. So we have,

$x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5$

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be $5*20=100$ . So the price that gives the greatest revenue is $100+100=200$ .