Answer:
Angle made by ramp with ground is ≈
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is
ft.
Height of Skateboard ramp is
ft.
From figure,
It is forming a Right angle triangle
.
In
,
and
.
Clearly see that we need to find measure of angle
.
Using Trigonometric ratio:

So, 
Then 
Therefore, Angle made by ramp with ground is ≈
Answer:
f(x) = 3x + 2
Step-by-step explanation:
That's easy to find out. You have your input number, which is your x value, and you have your output number which is your y value (or f(x)).
All you have to do is see if each of the proposed answer works for ALL entries in the data set.
f(x) = 3x + 2
for x = 3 ===> 11 = 3 (3) + 2 = 11 YES
for x = 5 ===> 17 = 3 (5) + 2 = 17 YES
for x = 7 ===> 23 = 3 (7) + 2 = 23 YES
for x = 9 ===> 29 = 3 (9) + 2 = 29 YES
f(x) = 2x + 5
for x = 3 ===> 11 = 2 (3) + 5 = 11 YES
for x = 5 ===> 17 = 2 (5) + 5 = 15 NO - we stop here for this function
f(x) = x + 7
for x = 3 ===> 11 = (3) + 7 = 10 NO - we stop here for this function
f(x) = 3x + 1
for x = 3 ===> 11 = 3 (3) + 1 = 10 NO - we stop here for this function
Answer:
The inequality that represents the age of the group, "x", is: 
Step-by-step explanation:
To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:

While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:

In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:
