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shusha [124]
3 years ago
5

Find the the perimeter of triangle JKL

Mathematics
1 answer:
Leona [35]3 years ago
7 0

Answer:

60

Step-by-step explanation:

Tangents to a circle from a common external point are congruent, thus

JA = JB = 6

AL = KC = 11

CK = KB = 13

Thus

perimeter = 2(6) + 2(11) + 2(13) = 12 + 22 + 26 = 60

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Can you check my work
gregori [183]
I do not see anything wrong with it 
7 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.

ANSWERS:

A. $3960

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

C. $200

4 0
3 years ago
Write a cubic function whose graph passes through the points (-4,0)(4,0)(0,6) and (2,0)
gulaghasi [49]

Answer: 3/16(x+4)(x-4)(x-2)

Step-by-step explanation:

3 0
3 years ago
What is the solution to the inequality x - 2 < -2?
7nadin3 [17]
Well the solution to this problem is x < -4
3 0
3 years ago
A circle has a radius of 3. An arc in this circle has a central angle of 60 degrees. What is the length of the arc?
Yuliya22 [10]

Answer:

The answer is 3.14 units

6 0
3 years ago
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