Answer:
36 feet
Step-by-step explanation:
3ft is 1 yard so you would multiply the 12 yards by 3 making 36.
9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
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tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
Answer:
11.28 ft
Step-by-step explanation:
The volume of a cylinder can be written as;
Volume V1 = πr^2 h
The volume of an hemisphere can be written as;
Volume V2 = (2/3)πr^3
The total volume of the silo is;
V = V1 + V2
V = πr^2 h + (2/3)πr^3
Given;
Volume of silo V= 15000 ft^3
Height of cylinder part h = 30 ft
Substituting the values;
V = πr^2 h + (2/3)πr^3
15000 = 30πr^2 + (2/3)πr^3
15000/π = 30r^2 + (2/3)r^3
2r^3 + 90r^2 - (15000×3/π) = 0
Solving the equation, we have;
r = 11.28 ft or -15.61 ft or -40.67 ft
Since the radius cannot be negative;
Radius r = 11.28 ft
The measure of an arc is twice the measure of the inscribed angle that intercepts it.
m(arc)NL = 2 * 42 = 84
