Answer:
Step-by-step explanation:
We require 2 equations with the repeating digits (63) placed after the decimal point.
let x = 0.636363..... (1) multiply both sides by 100
100x = 63.6363... (2)
Subtract (1) from (2) thus eliminating the repeating digits
99x = 63 ( divide both sides by 99 )
x = 
= ← in simplest form
Step-by-step explanation:
Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).
\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}
ES
=(4;4)−(4;−3)=
(0;7)
\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}
EJ
=(−5;−4)−(4;−3)=
(−9;−1)
cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=
∣
EJ
∣∗∣
ES
∣
ES
∗
EJ
cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;
a = 96,34°
Solution: 96 degrees.
The 40 ml solution is said to be created from 10 ml and 30
ml solutions. In mixture problems, we equate the final mixture to its
compositions given the concentration for each. A 10 ml has 20% acid and the 30 ml has C
(unknown). We can write the total liters for 10 ml as 10(.2) and 30(c) for the
30 ml. when two solutions were added, it should be equal to 40ml with 32% acid.
Therefore, it should be written as 10(.2) + 30(c) = 40(.32). The answer is A
Answer: 1. 140 times
Step-by-step explanation:
(2^6)=1
take log on both sides,
xlog(2^6)=log(1)=0
=>
x=0, since log(2^6)>0
5^0=1
there is no value of x appearing in the equation, so x can be any valid number.
