Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
![2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2](https://tex.z-dn.net/?f=2%5Cleft%28P%5C%3A%2B1%5Cright%29%5C%3A%2B%5C%3A3%5Cleft%28P%5C%3A%2B%5C%3A2%5C%3A%5Cright%29%5C%3A%3E%5C%3A2)
solving the expression
![2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2](https://tex.z-dn.net/?f=2%5Cleft%28P%5C%3A%2B1%5Cright%29%5C%3A%2B%5C%3A3%5Cleft%28P%5C%3A%2B%5C%3A2%5C%3A%5Cright%29%5C%3A%3E%5C%3A2)
as
so the expression becomes
![5P+8>2](https://tex.z-dn.net/?f=5P%2B8%3E2)
subtracting 8 from both sides
![5P+8-8>2-8](https://tex.z-dn.net/?f=5P%2B8-8%3E2-8)
![5P>-6](https://tex.z-dn.net/?f=5P%3E-6)
Dividing both sides by 5
![\frac{5P}{5}>\frac{-6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5P%7D%7B5%7D%3E%5Cfrac%7B-6%7D%7B5%7D)
![P>-\frac{6}{5}](https://tex.z-dn.net/?f=P%3E-%5Cfrac%7B6%7D%7B5%7D)
Therefore,
![2\left(P+1\right)+3\left(P+2\right)>2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:P>-\frac{6}{5}\:\\ \:\mathrm{Decimal:}&\:P>-1.2\\ \:\mathrm{Interval\:Notation:}&\:\left(-\frac{6}{5},\:\infty \:\right)\end{bmatrix}](https://tex.z-dn.net/?f=2%5Cleft%28P%2B1%5Cright%29%2B3%5Cleft%28P%2B2%5Cright%29%3E2%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3AP%3E-%5Cfrac%7B6%7D%7B5%7D%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BDecimal%3A%7D%26%5C%3AP%3E-1.2%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cfrac%7B6%7D%7B5%7D%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
The graph is also attached below.
Answer:
The answer is <U , <T , <V.
Step-by-step explanation:
There is no need to show work. You can show work by solving for the angles using Sin, Cos, and Tan.
Usually, the small side length is the smallest angle degree and the big side length is the larger angle degree.
VT = 18 , UV = 20 , TU = 23.
Area=πr² where r=d/2
r=8mm
Area=πx8x8
=64π mm²
I think you omitted the π symbol in your choices so the answer is not in there but should be 64π mm²
Answer:
line AB is parallel to line CD
Step-by-step explanation:
Because they have the same gradient which is 2