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bulgar [2K]
3 years ago
11

Find the missing angle measure A=51°, B=82°, C=5x+2

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

I'm assuming you mean triangle angles?
If so, all angles add up to 180 so combine them and set them equal to 180.
51+82+5x+2=180
135+5x=180
5x=45
x=9

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Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.
exis [7]

y = Acos(Bx) + D;

D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5

WE get y = 2cos(16/5x) + 4

4 0
2 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.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
Which of the following pair of sets are equal?
s344n2d4d5 [400]

Answer:

0 (1,2,3,4,5,)and (0,1,2,3,4,5,)

7 0
3 years ago
Need help with #5 please
adell [148]

Answer:

the answer is 5/6 also knows as answer #3

Step-by-step explanation:

because there is 6 sides #s 1-6

6 0
3 years ago
In their last game the New England patriots scored 9 points in the first half in the second half they scored three less than two
Marat540 [252]

Answer:

3:5

Step-by-step explanation:

first half : 9

second half : 15

9:15 = 3:5

5 0
3 years ago
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