Answer:
The area of an equilateral triangle with the side of 6 inches = 15.59 inches²
Step-by-step explanation:
Formula:-
Area of equilateral triangle = √3a²/4
Where 'a' is the side of equilateral triangle.
<u>To find the area of given triangle</u>
Here side a = 6 inches
Area = √3a²/4
= (√3 * 6²)/4
= (1.73 * 36)/4 = 1.73 * 9 = 15.59 inches²
Answer:
8-3i
Step-by-step explanation:
The complex additive inverse is the number we need to add so that we get zero. It is the negative of the number.
a + bi is –(a + bi) = –a – bi.
a+bi + (-a+-bi) = a-a + bi-bi = 0
The complex additive invers of -8+3i is
-(-8+3i)
Distribute the negative
8 -3i
Answer:
{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}
Step-by-step explanation:
The expansion of (p+q)^n for n = 5 is ...
(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5
When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.
For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.
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The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.
Answer:
V ≈ 1847.26
Step-by-step explanation:
<u>Circular Cone Formulas in terms of radius r and height h:</u>
The volume of a cone:
V = (1/3)πr2h
Slant height of a cone:
s = √(r2 + h2)
Lateral surface area of a cone:
L = πrs = πr√(r2 + h2)
The base surface area of a cone (a circle):
B = πr2
The total surface area of a cone:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Therefore, the solution
V = πr 2h
/ 3 = π·142·9/ 3 ≈ 1847.25648
