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Snezhnost [94]
3 years ago
15

(3x^4-x^3-4x^2-2x-20)÷(x^2+2) using long division

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0
Answer is below..............

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Answer:

see explanation

Step-by-step explanation:

Using the cosine and tangent trigonometric ratios and the exact values

cos30° = \frac{\sqrt{3} }{2} and tan30° = \frac{1}{\sqrt{3} } , then

cos30° = \frac{adjacent}{hypotenuse} = \frac{6}{m} = \frac{\sqrt{3} }{2} ( cross- multiply )

\sqrt{3} × m = 12 ( divide both sides by \sqrt{3} )

m = \frac{12}{\sqrt{3} } ← rationalise by multiplying numerator/ denominator by \sqrt{3} )

m = \frac{12}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{12\sqrt{3} }{3} = 4\sqrt{3}

-------------------------------------------------------------------------------

tan30° = \frac{opposite}{adjacent} = \frac{n}{6} = \frac{1}{\sqrt{3} } ( cross- multiply )

\sqrt{3} × n = 6 ( divide both sides by \sqrt{3} )

n = \frac{6}{\sqrt{3} } ← rationalise the denominator

n = \frac{6}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{6\sqrt{3} }{3} = 2\sqrt{3}

-----------------------------------------------------------------------------------

7 0
3 years ago
a right rectangular prism has a length of 8 cm a width of 3cm height of 5cm what is the surface area of the prism
Finger [1]
8x3 is 24, 3x5 is 15, 8x5 is 40, 24 + 15 + 40 is 79 79x2 is 158
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Please help asap!!!!!! quadratic functions 50 points
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Answer:

The domain is all real numbers such that -6≤x≤-2, and the range is all real numbers greater than or equal to -4.

Step-by-step explanation:

The domain refers to the set of possible <u>input</u> values, so in the domain of a graph consists of all the input values shown on the x-axis, in this case, all numbers beetwen -6 and -2. The range is the set of possible <u>output</u> values, which are shown on the y-axis; in the graph, all numbers equal and higher than -4.

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baherus [9]
The answer is 12.206556

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3 years ago
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