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3 years ago

the muffin batter contains 2 cups of flour, and 0.5 cups of sugar. what is the ratio of sugar to flour

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

Answer:

0.5:2

Step-by-step explanation:

that is just the answer

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Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

Answer- Length of the curve of intersection is 13.5191 sq.units

Solution-

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

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3 years ago

I need to now why won’t I rank up I have 1500 points and 10/10 brainliest and I need to now why won’t I rank up to expert

irinina [24]

Answer:

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Step-by-step explanation:

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2 years ago

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304 students went on a field trip. seven buses were filled and 17 students traveled in cars. how many students were in each bus?

nlexa [21]

41 students
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304: total students
17: riding in car
7: number of buses
-
304 - 17 = 287
287 divided by 7 = 41

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3 years ago

What’s the work for 6.2 x 88.01?

nekit [7.7K]

Answer:

545.662

Step-by-step explanation:

88.01

x 6.2

17602

52806

545.662

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2 years ago

Find the solution set for this equation. a2 + a=0 Separate the two values with a comma.

ira [324]

Answer:

a = 0,-1

Step-by-step explanation:

a^2 + a=0

Factor out an a

a(a+1) =0

Using the zero product property

a=0 a+1 =0

a=0 a= -1

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3 years ago