Answer:
$17.85792
Step-by-step explanation:
$0.4544 x 39.3 = $17.85792
Cylinder:
V = pi * r^2 * h
V = 3.14 * 9^2 * 11
Simplify exponent:
V = 3.14 * 81 * 11
Multiply:
V = 2797.74
Sphere:
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 9^3
Simplify exponent:
V = 4/3 * 3.14 * 729
Multiply:
V = 3052.08
Cone:
V = 1/3 * pi * r^2 * h
V = 1/3 * 3.14 * 12^2 * 20
Simplify exponent:
V = 1/3 * 3.14 * 144 * 20
Multiply:
V = 3014.4
So the Sphere holds the most.
Zero bags or caramel corn since the x input is 0 (0 bags) and the result is y=0 (0 dollars)
<h3>
Answers:</h3>
- ST = 23
- RU = 8
- SV = 5
- SU = 10
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Explanation:
Focus on triangles SVT and UVT.
They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.
Since the triangles are the same, just mirrored, this means ST = UT = 23.
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Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.
Therefore, RS = RU = 8
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SV = VU = 5 because RT bisects SU.
Bisect means to cut in half. The two smaller pieces are equal.
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SU = SV + VU = 5+5 = 10
Refer to the segment addition postulate.
Answer:
48.06 to the nearest hundredth.
Step-by-step explanation:
f(x) = -16x^2 + 2x + 48
To find the maximum height we convert to vertex form:
= -16(x^2 + 1/8x) + 48
= -16[x + 1/16)^2 - 1/256] + 48
= -16(x + 1.16)^2 + 16/256 + 48
= 48.0625.