Answer:
sin S = is the ratio found.
Step-by-step explanation:
It is given that m∠U = 90°
TS is the hypotenuse = 73 units
UT is the adjacent side of the right angle = 48 units
SU is the base of the triangle = 55 units
Now we have to find the ratio as,
sin S =
sin S =
Plugin the values, we will get,
sin S =
So the ratio was found.
disclaimer this is not my work it is youaskianswer's work.
Answer:
Exam score
Step-by-step explanation:
The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.
Y - (-5) = -7
---------------------------
Simplify
y + 5 = -7
-------------------------------------
Subtract 5 from each side
y + 5 - 5 = -7 - 5
y = -12
--------------------------------------------
y = -12 is your answer
Answer:
31.2 lbs
Step-by-step explanation:
Let 2x = weight of oranges
5x = weight of apples
6x = weight of pears
2x + 5x + 6x = total weight
2x = 4.8
x = 2.4
4.8 + 5(2.4) + 6(2.4) = 4.8 + 12 + 14.4
= 31.2 lbs
A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write 
.
Per price increase is $20. So four price increase is $
. Hence, price per dive is 100+80=$180.
Also per price increase, 2 customers are reduced from 30. For 4 price increases, 
customers are reduced. Hence, total customers is 
.
So Total Revenue is:
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.
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 
, where a is the coefficient of 
and b is the coefficient of x. So we have,
That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 
. So the price that gives the greatest revenue is 
.
ANSWERS:
A. $3960
B. 
C. $200
