Answer:
12.
Step-by-step explanation:
Average rate of change = (value of the function when x = 9 - value when x=3)
/
(9 - 3)
= f(9) - f(3) / (9-3)
= (9^2 - 3^2) / (9-3)
= 72 / 6
= 12.
Answer:
18
Step-by-step explanation:
Assuming the sides are 12 and 38
Since this is a right triangle, we can use trig functions
We know the opp side and the adj side of the angle in questions
tan ? = opp /adj
tan ? = 12/38
Taking the inverse tan of each side
tan ^-1 (tan ?) = tan ^-1 (12/38)
?=17.52556
To the nearest degree
? = 18
If the side is 36,
tan ? = opp /adj
tan ? = 12/36
Taking the inverse tan of each side
tan ^-1 (tan ?) = tan ^-1 (12/36)
?=18.43494
To the nearest degree
? = 18
Answer:
405150
Step-by-step explanation:
3 people are to be selected from 75 people. This could be done using the combination function, 
. But thus function only gives the number of ways of choosing any 3 out of the 75 customers. For any single selection of any 3 customers, there are 3! ways of sharing the three prizes among them. Hence the total number of ways of sharing the prizes is
In fact, this is the permutation function given by
Answer:
The actual height of telescope is 42.85 inches
Step-by-step explanation:
Given that:
Height of model of telescope = 15 inches
Diameter of model of telescope = 3.5 inches
Actual diameter of telescope = 10 inches
Actual height of telescope = x
Ratio of model's diameter to height :: Ratio of actual diameter to height
3.5 : 15 :: 10 : x
Product of extreme = Product of mean
3.5*x = 10*15
3.5x=150
Dividing both sides by 3.5
Hence,
The actual height of telescope is 42.85 inches
Answer: by means of x and y on a graph
Step-by-step explanation: none.
