A, B, E, and F are mathematical sentences.
Volume of 1 ball = 4/3 π r³ = 4/3 (3.14) (2.25 ÷ 2)³ = 5.961 in³
Volume of 3 balls = 5.961 x 3 = 17.883 in³
Volume of cylinder = πr²h = (3.14) (2.25 ÷ 2)² (6.75) = 26.825 in³
Empty Space = 26.825 - 17.883 = 8.94 in³ (nearest hundredth)
Answer: 8.94 in³
Answer: 113.0 ft (bottom right corner)
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Explanation:
The triangle has a horizontal leg of 220 ft and a vertical leg of x ft. We'll use the tangent rule to connect the opposite side and adjacent side
opposite side = x
adjacent side = 220
this is with the reference angle shown in the diagram
So,
tan(angle) = opposite/adjacent
tan(26) = x/220
220*tan(26) = x
x = 220*tan(26)
x = 107.301169 ... see note below
x = 107.3
Now that we know the approximate value of x, we add on 5.7 to get
x+5.7 = 107.3+5.7 = 113.0
note: make sure your calculator is in degree mode. The value is approximate to 6 decimal places
It's the lasts graph it intersects at 0,-3
300*5=1500
150*5=750
75*5=375
2325
