Answer:

Step-by-step explanation:
Please find the attachment.
Let us divide our given image in several parts and then we will find area of different parts.
First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.



Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.



Let us find the area of green triangle.


Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.


Let us add all these areas to find the area of our figure.



Therefore, area of our given figure is 54 square units.
Answer:
inequality form: b<5
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
the mode is the number you see the most
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:
