Answer:
1414 kL
Step-by-step explanation:
The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.
<h3>Moat area</h3>
The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...
C = πd = π(45 m) = 45π m
The area is this length times the width of the moat:
moat area = (45π m)(5 m) = 225π m²
<h3>Moat volume</h3>
The volume is the product of the area and the depth of the moat:
V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³
1 cubic meter is 1000 liters, 1 kiloliter.
The volume of the moat is about 1414 kL.
Answer:
A) Bobby's overall grade is 70.4%
Step-by-step explanation:
To solve this problem we must calculate the percentages each grade represents from the overall grade. Therefore:
assignment = 85*30% = 85*30/100 = 25.5%
tests = 72*20% = 72*20/100 = 14.4%
exam = 61*50% = 61*50/100 = 30.5%
total = assignment + tests + exam
total = 25.5 + 14.4 + 30.5 = 70.4
Bobby's overall grade is 70.4%. Therefore the correct answer is A).
Answer:
2248
Step-by-step explanation:
Take the amount earned weekly and multiply by 4 weeks
562*4
2248
Answer:
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
Now that we have our equation, let's distribute the and the into the parentheses they are next to:
Combine like terms:
Subtract from both sides of the equation:
Divide by the coefficient of , which is :
~
Check your work by substituting into one of the equations above:
It's correct!