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3 years ago

Find the measure of the indicated side or angle.

Mathematics

1 answer:

lozanna [386]3 years ago

7 0

Answer:

60°

Step-by-step explanation:

We'll begin by calculating EC. This can be obtained as follow:

Angle EAC = 39°

Hypothenus = EA = 3.7 m

Opposite = EC =?

Sine EAC = Opposite /Hypothenus

Sine 39 = EC / 3.7

Cross multiply

EC = 3.7 × Sine 39

EC = 2.3 m

Finally, we shall determine angle BEC. This can be obtained as follow:

Adjacent = EC = 2.3 m

Hypothenus = BC = 4.6 m

Angle BEC =?

Cos BEC = Adjacent / Hypothenus

Cos BEC = 2.3 / 4.6

Cos BEC = 0.5

Take the inverse of Cos

BEC = Cos¯¹ 0.5

BEC = 60°

Thus, angle BEC is 60°

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4 years ago

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katrin2010 [14]

Answer:

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Step-by-step explanation:

We have 2 equations, the first of an ellipse and the second of a circumference.

$2x^2+y^2=33\\x^2+y^2+2y=19$

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Now we must factor the quadratic expression.

We look for two numbers that multiply as a result -5 and add them as result 4.

These numbers are -1 and 5.

Then the factors are

$y^2 +4y-5 = 0\\\\(y-1)(y+5) = 0$

Therefore the system solutions are:

$y = 1$ ; $y = -5$

In the 4th quadrant the values of x are positive and the values of y are negative.

So we take the negative value of y and substitute it into the system equation to find x

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$x = 2$ , and $x= -2$

In the 4th quadrant the values of x are positive

So we take the positive value of x

<em><u>the coordinates of the solution that lies in quadrant IV are (2, -5)</u></em>

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3 years ago

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