Answer:
Step-by-step explanation:
Givens
Length = a
Width = a + 3
Formulas
P = 2L + 2w
Area = L * w
Solution
Perimeter
P = 2L + 2w
P = 2*a + 2(a + 3) Remove the Brackets
p = 2a + 2a + 6 Combine
<u><em>P = 4a + 6</em></u>
Area
Area = L * w
Area = a (a + 3)
<u><em>Area = a^2 + 3a</em></u>
Answer:
Step-by-step explanation:
Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have
i = exp(i π/2) = cos(π/2) + i sin(π/2)
By DeMoivre's theorem,
i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)
and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.
Step-by-step explanation:
the distributing ratio is 2:5.
that means for every 2 white marbles there must be 5 blue marbles.
so, we are taking about "groups" or multiples of 7 (2+5 = 7).
now, even 7×7 = 49 is too small.
but the next multiple of 7 (7×8 = 56) is now big enough to include at least 50 marbles.
so, in order to keep the 2:5 ratio strictly in place, the minimum number of marbles in the bag is 56.
