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3 years ago

What is the correct value of b ?

Mathematics

1 answer:

Vlada [557]3 years ago

4 0

Answer:

b = 4

Step-by-step explanation:

Using the trigonometric identity

cos x = $\frac{1}{secx}$ = $\frac{1}{\frac{5}{3} }$ = $\frac{3}{5}$

Using the cosine ratio in the right triangle

cos x = $\frac{adjacent}{hypotenuse}$ = $\frac{3b}{20}$

Hence

$\frac{3b}{20}$ = $\frac{3}{5}$ ( cross- multiply )

15b = 60 ( divide both sides by 15 )

b = 4

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3 years ago

A polygon has its vertices at the following points.

seropon [69]

Answer:

isosceles trapezoid

Step-by-step explanation:

1) find the distance of the points

$\sqrt{(x2-x1)^2 + (y2 -y1)^2}$

AB = $\sqrt{(4-2)^2 + (7-5)^2} = \sqrt{4 + 4} = \sqrt{8} = 2 \sqrt{2}$

BC = |7-4| = 3

CD = $\sqrt{(9-7)^2 + (5-7)^2}= \sqrt{4+4} = \sqrt{8} = 2 \sqrt{2}$

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2) equation of the line that passes threw BC

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3) equation of the line that passes threw AD

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conclusion

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2 years ago

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Alex73 [517]

Just replace X with the given value.

X = -3

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2 years ago

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