Answer:
Step-by-step explanation:
The formula we can use is
Where d is the length of the diagonal and a is the length of the side of the square
Since, the floppies are in square shape and side length is 15, so a = 15
We simply put it into the formula and get length of diagonal.
Hence, diagonal length is
Answer:
See below.
Step-by-step explanation:
1)
So we have:
This can be interpreted as:
"There exists a natural number <em>x</em> and an integer <em>y</em> such that x² is equal to y²."
2)
So we want even numbers are in the set of integers.
This is interpreted as:
"The set of even numbers (2n such that n is an integer) is in the set of integers"
Answer:
Step-by-step explanation:
<u>Given</u>
- Total 17 marbles
- 4 - blue marbles
- 6 - green marbles
- 2 - red marbles
- The rest - yellow marbles
<u>Probability of drawing red first:</u>
- P(red) = number of red / total number = 2/17
<u>Probability of drawing green second, without replacement:</u>
- P(green) = number of green / number left in the bag = 6/16 = 3/8
<u>Probability of red and green in order:</u>
- P = P(red)*P(green) = 2/17*3/8 = 3/68
Answer:
(ab+10+a)-(6ab×6ab-2ab+8)
=ab+10+a-6ab×6ab+ab-8
=ab+10+a-36a²b²+2ab-8
=36a²b²+(ab-2ab)+a+(10-8)
therefore the answer is 36a²b²+3b+a+2
Answer:
Step-by-step explanation:
Before we even begin it would be very helpful to draw out a simple layout of the circuit. Then we go ahead and apply kirchoffs second law(sum of voltages around a loop must be zero) on the circuit and we obtain the following differential equation,
where V is the electromotive force applied to the LR series circuit, Ldi/dt is the voltage drop across the inductor and Ri is the voltage drop across the resistor. we can re write the equation as,
Then we first solve for the homogeneous part given by,
we obtain,
This is only the solution to the homogeneous part, The final solution would be given by,
where c is some constant, we added this because the right side of the primary differential equation has a constant term given by V/R. We put this in the main differential equation and obtain the value of c as c=V/R by comparing the constants on both sides.if we put in our initial condition of i(0)=0, we obtain , so the overall equation becomes,
where if we just plug in the values given in the question we obtain the answer given below,