Answer:
Step-by-step explanation:
We group the number 5:
5(x² + 3x + 2.25)
Now inside the brackets we'll take the square root of the coefficient of the x and the square root of the last number, then remove the square from the x and write it as a sum:
5(x+1.5)²
What's the idea behind this?
Well, remember that when you have something in the form:
(a+b)²
It actually means:
a² + 2ab + b²
In our case a was x, and b was 2.25. For bringing it into the shorter form we have to take the square root of a and b.
Sorry if you don't understand. Tell me if you need help to get the xoncept better.
Given :
A right angle triangle ABC .
To Find :
The perimeter of ABC .
Solution :
Since, triangle ABC is right angled and angle ∠ABC is 46° .
So, AC = AB cos 46° = 7.64 units.
Also, CB = AB sin 46° = 7.91 units.
Therefore, the perimeter of ΔABC is :
P = 11 + 7.64 + 7.91 units
P = 26.55 units
Hence, this is the required solution.
if the minute hand of the <u>circular clock</u> is 28 inches, that simply means its radius is 28.
![\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=28\end{cases}\implies A=\pi 28^2\implies A=784\pi](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5CA%3D%5Cpi%20r%5E2~~%5Cbegin%7Bcases%7Dr%3Dradius%5C%5C%5B-0.5em%5D%5Chrulefill%5C%5Cr%3D28%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%2028%5E2%5Cimplies%20A%3D784%5Cpi)
so it covers that much in 1 rotation, so in 4 rotations that'd be 4(784π) => 3136π.
Answer:
Supplementary and Complementary
