On the 4th stage, 81 friends will be called to be told of the news
Answer:
The result of the integral is:

Step-by-step explanation:
We are given the following integral:

Trigonometric substitution:
We have the term in the following format:
, in which a = 3.
In this case, the substitution is given by:

So

In this question:



So

We have the following trigonometric identity:

So

Replacing into the integral:

Coming back to x:
We have that:

So

Applying the arcsine(inverse sine) function to both sides, we get that:

The result of the integral is:

By using what we know about right triangles, we conclude that the height is 11ft.
<h3>
How far is the top of the escalator from the ground floor? </h3>
We can think of this as a right triangle.
Where the length of the escalator is the hypotenuse
We know that the angle of depression is 42.51°, then the top angle of our right triangle is:
90° - 42.51° = 47.49°
Now, the height of the top of the escalator would be the adjacent cathetus to said angle, then we can use the relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing what we know:
cos(47.49°) = height/16ft
cos(47.49°) *16ft = height = 10.8ft
Rounding to the nearest foot, we get:
height = 11ft
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer: That would be 1 case + 112 pack + 16 pack + 5 singles
Step-by-step explanation:
Answer:
The distance between them after 1 hour and 30 minutes will be of 63.64 miles.
Step-by-step explanation:
This question can be solved using the Pythagorean Theorem.
Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.
The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So



The distance between them after 1 hour and 30 minutes will be of 63.64 miles.