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vagabundo [1.1K]
3 years ago
15

Find mFE A) 52° C) 76° B) 93° D) 112°

Mathematics
1 answer:
mixer [17]3 years ago
3 0

Answer:

76 degrees

Step-by-step explanation:

GE = 180 since it is a straight line

GE = GR + FE

180 = 7x+6 +6x-8

Combine like terms

180 = 13x-2

Add 2 to each side

182 = 13x

Divide by 13

182/13 = 13x/13

14 =x

We want FE

FE = 6x-8

FE = 6(14) -8

    =84 -8

    =76

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Answer:

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Step-by-step explanation:

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3 years ago
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• factor out sin(<em>A</em>) cos(<em>A</em>)

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• simplify the last factor using the Pythagorean identity, 1 - sin²(<em>A</em>) = cos²(<em>A</em>)

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… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - 1/cos²(<em>A</em>))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - sec²(<em>A</em>))

• divide through again by cos²(<em>A</em>)

… = (4 sin(<em>A</em>)/cos(<em>A</em>)) / (2/cos²(<em>A</em>) - sec²(<em>A</em>)/cos²(<em>A</em>))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(<em>A</em>) / (2 sec²(<em>A</em>) - sec⁴(<em>A</em>))

• factor out sec²(<em>A</em>) in the denominator

… = 4 tan(<em>A</em>) / (sec²(<em>A</em>) (2 - sec²(<em>A</em>)))

• rewrite using the Pythagorean identity, sec²(<em>A</em>) = 1 + tan²(<em>A</em>)

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… = 4 tan(<em>A</em>) / ((1 + tan²(<em>A</em>)) (1 - tan²(<em>A</em>)))

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7 0
3 years ago
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Answer:

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The critical value of z for a 95% confidence interval is z=1.96.

To do that, we use the margin of error formula in function of n:

MOE=\dfrac{z\cdot \sigma}{\sqrt{n}}\\\\\\n=\left(\dfrac{z\cdot \sigma}{MOE}\right)^2=\left(\dfrac{1.96\cdot 1.7}{0.14}\right)^2=(23.8)^2=566.42\approx 567

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Explanation:
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In this case, the diameter (I am assuming) is 17.4, so in order to solve the circumference you must multiply Pi by 17.4.

(If 17.4 is the radius, simple multiply 17.4 by 2 and then solve for the circumference like you normally would. You must multiply the radius by two because the radius is half of the circles circumference.

Hope that helps. Happy learning!
8 0
3 years ago
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