QUESTION:
A battery was charged. When the charging began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent full. how fast did the battery charge and how long did it take?
Solution :
<u>Given</u>
- Initial amount of charge = 23%
- Amount after charge = 89%
<u>procedu</u><u>re</u>
Let the rate of charging be r .
r = (change in charge level) / (time interval) = (89% - 23%) / (30 min) = 2.2 % per minute
charge = (rate of charging)(time) + (initial charge)
100% = r*t + 23%
100% = (2.2 %/min)t + 23%
Solve for t and get
t = [(100 - 23) / 2.2]
Answer = 35 min
Answer:

Step-by-step explanation:
A right angled triangle is given to us and we would like to find out the value of sin(A) .
From the triangle we can see that the measure of angle BAC is 30° . Therefore ,

On using sin both sides ,

As we know that the value of sin30° = 1/2. So;

Simplify by converting it into decimal ,

<u>Hence</u><u> </u><u>option</u><u> </u><u>B</u><u> </u><u>is</u><u> </u><u>correct</u><u> </u><u>.</u>
And we are done!
We know that
<span>applying the Pythagorean theorem
c</span>²=a²+b²
c is the <span>length of the diagonal
a=100 yd
b=130 yd
c</span>²=100²+130²-------> c²=26900---------> c=√26900 units----> c=10√269 units
the answer is
the length of the diagonal is 10√269 units or 164.012 units
Answer:
11/132 = 1/12
Step-by-step explanation:
just put the rise over the run and simplify
A dilation with scale factor 3 gives the effect of stretching the line AB three times longer, as shown in the diagram below
The slope will stay the same as dilation does not change the direction of the line
If point O lies on AB and is the center of dilation, then the point O must also lie on A'B'
Answer:
the slope of A'B' = 3
A'B' passes through point O