Answer:
The angles 4, 5 and 6 are 36, 90 and 54 respectively.
Step-by-step explanation:
First, let's find the total number of parts:
2 + 5 + 3 = 10
The amount of degrees per part is 180 / 10 = 18.
Now, we multiply that factor to the ratio:
Thus, the angles 4, 5 and 6 are 36, 90 and 54 respectively.
Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.
In this problem, the order in which the flags are visited is important, hence the <em>permutation formula</em> is used to solve this question.
<h3>What is the permutation formula?</h3>The number of possible permutations of x elements from a set of n elements is given by:
The first flag is blue, then the remaining 7 are taken from a set of 14, hence:
There are 17,297,280 different signals consisting of 8 flags.
More can be learned about the permutation formula at brainly.com/question/25925367
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:
dy/dx = -1/
Step-by-step explanation:
y = 1/x
dy/dx = d/dx(1/x)
=> dy/dx = d/dx()
=> dy/dx = -
=> dy/dx = -1/