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2 years ago

helppppPPPppppPPppppppPppppPPpppPPPPpppPPPpppPppppPPPpPPPpppp please help do not look this up thank you

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

4 0

Answer:

Part A:

The probability of hitting the black circle is the ratio between the area of the black circle and the white square (including the black circle)

Area of circle:

Ac = pi x r^2 = pi x (2/2)^2 = pi (diameter = 2)

Area of square:

As = side^2 = 11^2 = 121 (side = 11)

=> P = pi/121 = ~0.025 (P = 0.025 < 0.5 => P is closer to 0 than 1)

Part B:

The probability of hitting the white portion could be calculated in a similar way as shown in part A. However, the event of hitting the white portion is the complement event of the event of hitting the black circle.

Because P(event) + P(complement of event) = 1

=> P = 1 - 0.025 = 0. 975 (P = 0.975 > 0.5 => P is closer to 1 than 0)

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Ignacio can make 5 clockwise rotations.

Step-by-step explanation:

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Read 2 more answers

A standard oil drum is a cylinder with a volume of approximately 218.276 liters (or 0.218276 cubic meters). The cost of producin

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Answer:

r = 2,85 feet

h = 8,56 feet

Step-by-step explanation:

Area of two circular caps (m ^(2)) : 2* pi* r^(2) (where r is the radius of circular cap) Area of wall (m ^(2)) is 2*pi*r*h (where h is the height of drum)

V= pi*r^(2)*h so h=V/pi*r^(2) (1)

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Cost of (both top and bottom cap) = 2*40,97*pi* r^(2) so:

C(caps) = 257,29* r^(2) $/squaer feet

Total cost of cylnder = cost of wall + cost of caps

Total cost f cylinder: F(c)= 55*pi*r*h+257,29* r^(2)

F(c) = 172,7*r*h + 257,29*r^(2) F(c) is F(r)

Since from (1) we have h=218,276/pi*r^(2)

F(r) = (172,7)*r*(69,514)/r^(2) +257,29*r^(2) F(c) = 12005/r + 257,29*r^(2)

Taken the first dervative

F´(r)= -12005*(1)/r^(2) +2*257,29*r F´(r) = -12005*(1)/r^(2) +514,58*r

f F´(r) = 0 -12005*(1)/r^(2) + 514,58*r =0

-120005 + 514,58*^(3) = 0 514,58*^(3) = 12005 r =cubic root (23,32)

r = 2,85 ft

if we replace this value en F(r) we can see F(r) tend to infinite both when r tend to 0 and when r tends to infnite so there is a minimun for the functon

r = 2,85 ft and h = 8,56 ft

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