The volume in cubic meter of the cuboid with the dimensions length = 12 m , breadth = 10m, height = 4.5 m is 540 m³
<h3 />
<h3>Volume of a cuboid:</h3>
where
l =- length
w = width
h = height
Therefore,
l = 12 m
w = 10 m
h = 4.5
v = 12 × 10 × 4.5
v = 120 × 4.5
v = 540 m³
learn more on cuboid here: brainly.com/question/14297267?referrer=searchResults
Answer:
<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>
Step-by-step explanation:
The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:
40 - (3 x 2)
= 40 - 6
= 34 paddle boats.
The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.
Total Revenue = 34 x 6
= $204
<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
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Answer:
Reduction
Step-by-step explanation:
2(m-n^2)-6(n^2+3m)
=2m-2n^2-6n^2+18m
=20m-8n^2
Done ✅ Hope it helps
