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3 years ago

In the diagram below, ∆PRQ ∼ ∆DEF. Find each of the following. m∠P DE FE m∠D m∠R the scale factor of ∆PRQ ∼ ∆DEF

Mathematics

1 answer:

Aloiza [94]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

Corresponding angles of similar triangles are equal and corresponding sides are proportional so:

m ∠P = m ∠D = 180° - (35° + 89°) = 56°

m ∠Q = m ∠F = 89°

m ∠ R = m ∠E = 35°

PR/DE =PQ/DF

40/DE = 20/24 cross multiply and solve for DE

DE = 40*24/20

DE = 48

scale factor is DF/PQ = 24/20 = 6/5 so FE = 6/5 *RQ =6/5 *36 = 43.2

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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3 years ago

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FrozenT [24]

Answer:

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x(0) = 11

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x(3) = 1139/256 + j91/256

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Step-by-step explanation:

See the picture for workings.

Given X(n) = { 4, -1, 2, 5, -2, 3}

Six point DFT implies that N = 6

Step 1 = write out equation X(k)

Step 2 = substitute "Wn" in the equation X(k) to give a new equation

Step 3 = when N=6, substitute for "N" in the new equation and simplify the new X(k) equation.

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3 years ago

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Step-by-step explanation:

As per given , we have

Prior Population proportion : $p=\dfrac{1}{5}=0.2$

Significance level : $\alpha=1-0.95=0.05$

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Margin of error (maximum error): $E=7\%=0.07$

Formula to find the sample size :

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\ n=0.20(1-0.20)(\dfrac{1.96}{0.07})^2\\\\ n=125.44\approx126$

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