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REY [17]
3 years ago
13

If b equals 16.3 and a equals 21.7 what is angle A

Mathematics
1 answer:
Rama09 [41]3 years ago
4 0
I think 53.088 is the answer
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If sin theta = 2/3 and sex theta &lt; 0 , find cos theta and tan theta
FromTheMoon [43]

Answer:

\displaystyle cos\theta=-\frac{\sqrt{5}}{3}

\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}

Step-by-step explanation:

<u>Trigonometric Formulas</u>

To solve this problem, we must recall some basic relations and concepts.

The main trigonometric identity relates the sine to the cosine:

sin^2\theta+cos^2\theta=1

The tangent can be found by

\displaystyle tan\theta=\frac{sin\theta}{cos\theta}

The cosine and the secant are related by

\displaystyle cos\theta=\frac{1}{sec\theta}

They both have the same sign.

The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.

The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.

We are given

\displaystyle sin\theta=\frac{2}{3}

Find the cosine by solving

sin^2\theta+cos^2\theta=1

\displaystyle \left(\frac{2}{3}\right)^2+cos^2\theta=1

\displaystyle cos^2\theta=1-\left(\frac{2}{3}\right)^2=1-\frac{4}{9}=\frac{5}{9}

\displaystyle cos\theta=\sqrt{\frac{5}{9}}=-\frac{\sqrt{5}}{3}

\boxed{\displaystyle cos\theta=-\frac{\sqrt{5}}{3}}

We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.

Now compute the tangent

\displaystyle tan\theta=\frac{sin\theta}{cos\theta}=\frac{\frac{2}{3}}{-\frac{\sqrt{5}}{3}}=-\frac{2}{\sqrt{5}}

Rationalizing

\displaystyle tan\theta=-\frac{2}{\sqrt{5}}=-\frac{2\sqrt{5}}{5}

\boxed{\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}}

5 0
3 years ago
If an object is shot upward with an initial velocity, v0, in feet per second (ft/s), the velocity, v, in ft/s is given by the fo
igomit [66]

Answer:

96m/s

Step-by-step explanation:

Given the velocity, v, in ft/s of an object given by the formula v=v0−32t,

Given

V = 39ft/s

t = 2secs

Required.

Initial velocity v0

Substitute the given parameters into the formula

v=v0−32t,

32 = v0-32(2)

v0 = 32+64

v0 = 96m/s

Hence the initial velocity of the object is 96m/s

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Find the perimeter of the figure
natali 33 [55]

To find the perimeter of a figure you have to add al the side lengths of the shape because perimeter means yo find how much distance is surrounding the figure

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