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romanna [79]
3 years ago
12

Peters mom gave him a $10 bill he purchased a magazine for $4.50 and the tax was 6% how much change did peter get

Mathematics
1 answer:
never [62]3 years ago
7 0

Answer:

$5.50

Step-by-step explanation:

10 - 4.50 = 5.50

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Is 3,4,5 a Pythagorean triple
son4ous [18]

Answer:

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Step-by-step explanation:

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3 years ago
Prove the formula for (d/dx)(cos−1(x)) by the same method as for (d/dx)(sin−1(x)). Let y = cos−1(x). Then cos(y) = and 0 ≤ y ≤ π
gtnhenbr [62]

Answer:

\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }

Step-by-step explanation:

Given the differential (d/dx)(cos−1(x)), to find the equivalent formula we will differentiate the inverse function using chain rule as shown below;

let;

y = cos^{-1} x \\\\taking \ cos\ of\ both\ sides\\\\cosy = cos(cos^{-1} x)\\\\cosy = x\\\\x = cosy\\\\\frac{dx}{dy} = -siny\\

\frac{dy}{dx} = \frac{-1}{sin y}  \\\\from\ trigonometry\ identity,\ sin^{2} x+cos^{2}x = 1\\sinx = \sqrt{1-cos^{2} x}

Therefore;

\frac{dy}{dx} = \frac{-1}{\sqrt{1-cos^{2}y } }

Since x = cos y from the above substitute;

\frac{dy}{dx} = \frac{-1}{\sqrt{1-x^{2}} }

Hence, \frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} } gives the required proof

5 0
4 years ago
A number increase by 7 is greater than 30
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Answer:

x > 23

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As part of a history project, four students are making a 12-foot-tall model of a pyramid. The four faces of the pyramid will be
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84. They are CONGRUENT triangles. They have the same area and perimeter.

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4 years ago
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