Step-by-step explanation:
Given,
x = 81° and y = 41°
Also given in the figure that,
m∠AOB = x + y
Therefore, value of m∠AOB,
m∠AOB = x + y
= 81° + 41°
= <u>122° (Ans)</u>
<span><span><span>(3x−2)/</span><span>(x−1<span>)^2</span></span></span>=<span>A/(<span>x−1) </span></span>+ <span><span>B/x</span><span>(x−1<span>)^2
</span></span></span> =[<span><span>A(x−1)+Bx</span><span>(x−1<span>)] / 2</span></span></span></span>
3x-2=A(x-1)+Bx
3x-2=x(A+B)-A
A+B=3
-A=-2=>A=2
A+B=3=>2+B=3=>B=1
lets check our partial fraction
we have
<span><span><span>2/(<span>x−1) </span></span>+ <span>x/<span>(x−1<span>)^2 </span></span></span>= [<span><span>2(x−1)+x] / </span><span>(x−1<span>)^2
</span></span></span> =(<span><span>3x−2) / </span><span>(x−1<span>)^2</span></span></span></span></span>
Answer:
Answer is No.
Reason:
One side of the triangle has to be less than the sum of the other two sides and greater than the magnitude of their difference.
i.e.,
Rule 1: (side1 + side2) > side3
Rule 2: Side3 < |side1 - side2|
Lets check the fact by adding / subtracting two sides and comparing with the third one..
Case1: 7+ 8 = 15 = length of third side. Rule1 fails
Case2:
8+15 > 7 Rule1 sucess
15–8 = 7 = length of third side. Rule 2 fails.
Case3:
7+15>8 Rule1 success
15–7=8 = length of third side. Rule 2 fails.
So, considering the rules and checking the facts..
It is impossible to create a triangle with above 3 sides.
Answer:
3.5
Step-by-step explanation:
Given : the hydronium ion concentration is
in orange juice
To Find: what is the pH?
Solution :
Definition of pH : pH is the negative log of the molar hydrogen ion concentration
Formula of pH : - log [H+]
Since we are given H+ = 
So, substituting this value in formula :
![pH = - log [3.4*10^{-4}]](https://tex.z-dn.net/?f=pH%20%3D%20-%20log%20%5B3.4%2A10%5E%7B-4%7D%5D)
![pH = - log [3.4*0.0001]](https://tex.z-dn.net/?f=pH%20%3D%20-%20log%20%5B3.4%2A0.0001%5D)
![pH = - log [0.00034]](https://tex.z-dn.net/?f=pH%20%3D%20-%20log%20%5B0.00034%5D)

pH = 3.468≈3.5
Thus the pH is 3.5
Answer:
Add: $100
Take Out: $25
Total: $835.50
Step-by-step explanation:
A deposit is an amount that is put into the account, by the owner or by someone else.
A withdrawal is an amount that is taken out of the account.
The overall ending balance shows the total amount in the account at the end of the month.