Answer:
Current, I = 4.47 Amperes.
Step-by-step explanation:
Given the following data;
Inductance = 24H
Energy stored, Eind = 240J
To find the current;
The energy stored in an inductor is given by the formula;
Eind = ½LI²
240 = ½*24*I²
Cross-multiplying, we have;
480 = 24I²
I² = 480/24
I² = 20
Taking the square root of both sides, we have;
Current, I = 4.47 Amp
Hello!
If we want to round 287.9412 to the nearest tenth, the answer would be 287.9
Since rounding to the nearest tenth would mean rounding the first decimal, that's why it gives us that answer.
Also:
287.9412
2 = hundreds
8 = tens
7 = ones
. = decimal
9 = tenths
4 = hundredths
1 = thousandths
2 = millionths
Hope this helped! c:
Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
The area of the parallelogram with a height of 13cm and base 20cm is 260cm².
<h3>
How to find area of a parallelogram?</h3>
A parallelogram is simply a quadrilateral with two pairs of parallel sides.
The area of a parallelogram is expressed as;
A = base × height
Given the data in the diagram;
- Height of the parallelogram = 13cm
- Base of the parallelogram = 20cm
- Area of the parallelogram = ?
Plug the given values into the equation above and solve for A.
A = base × height
A = 20cm × 13cm
A = 260cm²
The area of the parallelogram with a height of 13cm and base 20cm is 260cm².
Learn more about parallelogram here: brainly.com/question/1563728
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