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Serhud [2]
3 years ago
11

Iven that 1 9x x2 + 9 dx 0 = 30 10 − 81, what is 0 9u u2 + 9 du 1 ?

Mathematics
1 answer:
katrin [286]3 years ago
5 0
Check the attached file for the solution.

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For the figures shown, HJKL ~ QRST, and the scale factor of HJKL to QRST is 9/7.
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Hey there! :)

JK ≈ RS

Scale Factor = 9/7

JK = 56

<u>56</u> · <u>9</u> = <u>504</u>  =  72
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Your answer ⇒ B.72

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A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge
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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
Sever21 [200]
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

Since \alpha lies in quadrant II, we have \cos\alpha, so

\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}

\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}

\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
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A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.
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