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Rashid [163]
3 years ago
6

Cos (x) = -0.6. if x and y are complementary, what is sin (y)?

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

cos(x) = -.6 means that you are looking for the angle, x, that has a cosine of -.6.  If you do this on your calculator, you press the 2nd button, then cos (in degree mode, NOT radian mode!) and then -.6 and enter.  You get an angle measure of 53.13010235°.  If that angle is complementary to angle y, then angle x and y added together have to equal 90°.  Therefore,

90 - 53.13010235 = 36.86989765°

Take the sin of this angle by hitting sin and then entering in the 36.86989765.  This gives you a value of .6000000000001 which, for all intents and purposes, is .6

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Data on tuition and mid-career salary are collected from a number of universities and colleges. The result of the data collectio
alexira [117]

Answer:

1. annual tuition 2. $-27139 3. slope = -0.91

Step-by-step explanation:

1. An independent variable is the factor that is not determined by the model in this case the annual tuition variable (the linear regression model factor)

2. substitute $30,000 into the linear regressions equation gives:

y = -0.91(30000) + 161 = -27139

This value tells us that when the annual tuition is $30,000 the average mid-career salary of graduates is predicted to be -$27,139

3. the slope if the regression is represented by the coefficient of the factor in the linear regression model. In this case, as the factor is x or the annual tuition, and the coefficient of this variable in the given example is -0.91 which in turn is the slope of the model.

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4 years ago
5. What is the name of the event that forced the Spanish from their homes?
spayn [35]
The Spanish-American war
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3 years ago
(sinA-cosA+1)/(sinA+cosA-1)=2(1+cosecA)​
borishaifa [10]

Answer:

The trigonometrical expression is sin² A + sin A - 2 cos A - 2 cos A × sin A = 0

Step-by-step explanation:

Given Trigonometrical function as :

\frac{sin A - cos A + 1}{sin A + cos A - 1} = 2 (1 + cosec A)

Or, \frac{sin A + ( 1 - cos A)}{sin A - (1 - cos A)} = 2 (1 + cosec A)

,<u> Now, rationalizing </u>

\frac{(sin A + ( 1 - cos A)) \times (sin A + (1 - cosA))}{(sin A - (1 - cos A))\times (sin A + (1 - cos A))} = 2 (1 + cosec A)

Or, \frac{(sin A + (1 - cos A))^{2}}{sin^{2} - (1-cos A)^{2}} = 2 ( 1 + \dfrac{1}{\textrm sinA}

Or, \frac{sin^{2}A + (1 - cosA)^{2} + 2 \times sin A \times (1 - cos A)}{sin^{2}A - (1 + cos^{2}A - 2 cos A)} = 2 ( \dfrac{1 + sin A}{sin A}

Or, \frac{sin^{2}A + 1 + cos^{2}A - 2 cos A + 2 sin A - 2 sin A cos A}{sin^{2}A - 1 - cos^{2}A +2 cos A} = 2 ( \dfrac{1 + sin A}{sin A}

Or, \frac{sin^{2}A + 1 + cos^{2}A - 2 cos A + 2 sin A - 2 sin A cos A}{sin^{2}A - (sin^{2}A + cos^{2}A) - cos^{2}A +2 cos A} = 2 ( \dfrac{1 + sin A}{sin A}

Or, \frac{2- 2 cos A + 2 sin A - 2 sin A cos A}{- 2cos^{2}A +2 cos A} =  2 ( \dfrac{1 + sin A}{sin A}

Or, \frac{1-  cos A +  sin A -  sin A cos A}{- cos^{2}A + cos A} = 2 ( \dfrac{1 + sin A}{sin A}

Or, \frac{(1-  cos A) +  sin A (1-cos A)}{cos A(1 - cos A)} = 2 ( \dfrac{1 + sin A}{sin A}

Or, \frac{(1-  cos A) (1 + sinA)}{cos A(1 - cos A)} = 2 ( \dfrac{1 + sin A}{sin A}

Or, \frac{(1 + sinA)}{(cos A)} = 2 ( \dfrac{1 + sin A}{sin A}

Or, sin A + sin² A = 2 cos A (1 + sin A)

Or,  sin A + sin² A = 2 cos A + 2 cos A × sin A

Or,   sin² A + sin A - 2 cos A - 2 cos A × sin A = 0

So,The trigonometrical expression is sin² A + sin A - 2 cos A - 2 cos A × sin A = 0     Answer

6 0
3 years ago
A math workbook has 100 pages. Each chapter of the book is 10 pages long. What percent of the book does each chapter make up?
kobusy [5.1K]
To find the percentage divide 10 by 100.. each chapter would make up 10% of the book.
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A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.
marishachu [46]

Answer:

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Part 2) The approximate value of the arc length is 13.1\ in

Step-by-step explanation:

ind the circumference of the circle

The circumference of a circle is equal to

C=2\pi r

we have

r=5\ in

substitute

C=2\pi (5)

C=10\pi\ in

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in

Find the approximate value of the arc length

To find the approximate value, assume

\pi =3.14

substitute

\frac{25}{6}(3.14)=13.1\ in

3 0
4 years ago
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