Machine A will take 28 minutes to produce 2100 fishing lures while machine B will take 42 minutes to produce 2100 fishing lures
Step-by-step explanation:
Fishing lures per minute produced by Machine A = 75
Fishing lures per minute produced by Machine B = 50
How long will it take both machines running to produce 2100 fishing lures?
Solving For Machine A:
75 fishing lures produced by machine A = 1 minute
1 fishing lures produced by machine A = 1/75 minute
2100 fishing lures produced by machine A = 1/75*2100
= 28 minutes.
Solving For Machine B:
50 fishing lures produced by machine A = 1 minute
1 fishing lures produced by machine A = 1/50 minute
2100 fishing lures produced by machine A = 1/50*2100
= 42 minutes.
So, Machine A will take 28 minutes to produce 2100 fishing lures while machine B will take 42 minutes to produce 2100 fishing lures
Keywords: Word Problems:
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Answer:
7,854 cm
Step-by-step explanation:
The area of a circle is given by πr², and the radius is the diameter/2:
100/2=50
π•50²=7,853.98≈7,854
The answer is diameter: 32 in, area: 64 in²
The perimeter of a sector of a circle is:
P = 2r + l
l = r<span>θ
P = 2r + r</span>θ<span>
P = 32 in
32 = 2r + r</span><span>θ
</span>32 - 2r = r<span>θ
</span>θ = (32 - 2r)/r
θ = (2*16 - 2*r)/r
θ = 2(16 - r)/r<span>
Area of the sector of the circle is:
A = r</span>²/2 * θ
A = r²/2 * 2(16 - r)/r
A = r² * (16 - r)/r
A = r(16 - r)
A = 16r - r²
For the maximum area:
A' = 16 - 2r
A' = 0
16 - 2r = 0
16 = 2r
r = 8 in
The diameter (D) of the circle is twice of the radius:
D = 2r = 2 * 8 = 16 in
The maximum area is:
A = 16r - r²
r = 8 in
A = 16 * 8 - 8²
A = 128 - 64
A = 64 in²
Answer:
V =972 pi mm ^3
Step-by-step explanation:
The diameter is 18 so the radius is 1/2 of the diameter
18/2 = 9
r=9
The volume of a cylinder is
V = pi r^2 h
V = pi (9)^2 12
V =972 pi mm ^3
