A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m
erma4kov [3.2K]
Answer:
The area of the shaded region is 148.04 cm².
Step-by-step explanation:
It is provided that a 7 cm × 5 cm rectangle is inside a circle with radius 6 cm.
The sides of the rectangle are:
l = 7 cm
b = 6 cm.
The radius of the circle is, r = 6 cm.
Compute the area of the shaded region as follows:
Area of the shaded region = Area of rectangle - Area of circle
![=[\text{l}\times\text{b}]-[\pi\test{r}^{2}]\\\\=[7\times5]+[3.14\times 6\times 6]\\\\=35+113.04\\\\=148.04](https://tex.z-dn.net/?f=%3D%5B%5Ctext%7Bl%7D%5Ctimes%5Ctext%7Bb%7D%5D-%5B%5Cpi%5Ctest%7Br%7D%5E%7B2%7D%5D%5C%5C%5C%5C%3D%5B7%5Ctimes5%5D%2B%5B3.14%5Ctimes%206%5Ctimes%206%5D%5C%5C%5C%5C%3D35%2B113.04%5C%5C%5C%5C%3D148.04)
Thus, the area of the shaded region is 148.04 cm².
I wish I can’t help but lol k bye
Rotation
It’s rotating 90 degrees counterclockwise
We call:
as the set of <span>the first 51 consecutive odd positive integers, so:
</span>
Where:
<span>and so on.
In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:
3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.
Then, the common difference is 2, thus:
</span>
<span>
Then:
</span>
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:
There is a formula for arithmetic series, namely:
</span>
<span>
Therefore, we need to find:
</span>
Given that
, then:
Thus:
Lastly:
F(-3)=(-2)*(-3)-4=6-4=2
F(-2)=(-2)*(-2)-4=4-4=0
F(-1)=(-2)*(-1)-4=2-4=-2
