The perimeter of the square is calculated through the equation,
4x = P
where P is the perimeter and x is the measure of the sides.
When P is 32 units then,
32 units = 4(x)
x = 8 inches
This 8 inches is the diameter of the cylinder formed by the rotation.
The circumference of the base is calculated through,
C = 2πr = πD
Substituting the known values,
C = π(8 units) = <em>8π units
</em><em></em>When π is equal to 3.14, we solve for the numerical value of the cylinder as follows,
<em> C = 8(3.14) = 25.12 units
</em><em></em>Thus, the figure formed is a cylinder with base circumference equal to 25 units. The answer is the third choice. <em>
</em>
Answer:
10° and 80°
Step-by-step explanation:
All triangles have internal angles that always add up to 180°.
Total strips = 8
Colored strips = 6
6/8 x 100 = 75%
Answer:
n = (1/2)(-1 ± i√2)
Step-by-step explanation:
Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:
-b ± √(discriminant)
n = ---------------------------------
2a
Here we have:
-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2
n = ---------------------- = ------------------------ = --------------------
2(12) 24 24
or:
n = (1/2)(-1 ± i√2)
