If $2397 is 100%
and $685 is unknown
685x100=68500
68500/2397=28.5774
round to 29%
A circle's size and shape is fully defined by its radius. Given two circles with radii r and r', the diameters are d=2r and d'=2r' and they are in the ratio
<span>d'/d = (2r')/(2r) = r'/r. </span>
<span>The diameter ratio is the same as the radius ratio. Similarly, the circumferences c=πd and c' = πd' are in the ratio </span>
<span>c'/c = (πd')/(πd) = d'/d = r'/r </span>
<span>The circumference ratio is the same as the diameter ratio and the radius ratio. All of the key linear dimensions are in the same proportion. </span>
<span>You might point out that the same thing happens with a square, where the size and shape are also completely determined by a single measurement, the length s of a side, with the diagonal and perimeter (corresponding to diameter and circumference) being d = √2 s and p = 4s. </span>
<span>Maybe you can lead at least some of the students to generalize to other regular polygons. Some of them (like the equilateral triangle and regular hexagon) can be demonstrated like the square and circle above with formulas from geometry. The general case needs trig ratios to state the formulas relating side length to the radius and apothem of the polygon.</span>
Answer:
34, D
Step-by-step explanation:
Change 4 and 1/4 to an improper fraction
4 1/4 = 17/4
Now, you would divide 17/4 by 1/8...
17/4 divided by 1/8
Reciprocate the fraction 1/8 and change the division sign to multiplication to get...
17/4 multiplied by 8/1
= 136 / 4
Simplify
136 / 4
= 34
So, you can grow 34 plants.
Hope this helps!
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,
2 1/4 = 9/4
(9/4)(8/5) = (9/1)(2/5) = 18/5 = 3 3/5 cups