Answers and Step-by-step explanation:
12: The 5s are worth a lot more than the 2s. The 5s are worth fifty thousand and five thousand whereas the 2s are only worth two hundred and twenty.
13: She needs 4 forks (2000 - 1996 = 4)
She needs 255 knives (2000 - 1745 = 255)
She has 226 extra spoons ( 2116 - 2000 = 116)
Answer:
50%
Step by step explanation
100 divided by 4 is 25
Since it is both blue and black, it is doubled from 25 to 50
Answer: 4x+11
Step-by-step explanation: Distribute the negative to the -8 and -2x. This will make 2x+3+8+2x. Combine like terms and you will get 4x+11. Hope this helps!
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
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You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
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