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AnnZ [28]
3 years ago
12

(20 points)Solve the equation cos x = sin (x + 22)

Mathematics
1 answer:
Law Incorporation [45]3 years ago
7 0

Answer:

\bold{x = 34^\circ}

Step-by-step explanation:

Given:

cos x = sin (x + 22^\circ)

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

sin(90^\circ-\theta )=cos\theta

OR

cos(90^\circ-\theta )=sin\theta

We can apply above property to solve for x as per given equation.

cos x = sin (x + 22^\circ)

Changing cosx to sine form:

cosx=sin(90^\circ-x)

cosx=sin(90^\circ-x) = sin(x+22^\circ)

\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}

So, solution to the equation cos x = sin (x + 22^\circ) is:

\bold{x = 34^\circ}

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Hunter-Best [27]

Answer:

Final amount of customers =30141.44

Step-by-step explanation:

Amount of customer remaining

A= p(1-r/n)^(nt)

P= initial amount of customers

R= rate but it's a negative rate

N= number of times

T= number of years

A= final amount of customers

A= p(1-r/n)^(nt)

A= 51200(1-0.038/14)^(14*14)

A= 51200(1-0.0027)^196

A= 51200(0.9973)^196

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A= 30141.44

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3 years ago
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3 0
3 years ago
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cestrela7 [59]
X=2

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6 0
2 years ago
Read 2 more answers
you send 12 photos to a company that makes personalized wall calendars the company enlarges the photos and inserts one for each
Assoli18 [71]

Answer:

15 inches

Step-by-step explanation:

We have that,

Length of the photo = 4 inches and Width of the photo = 6 inches

Also, the width of the image on the calendar = 10 inches

Let, the length on the image of the calendar = x inches.

Since, the ratio of the photo and its image will remain same, we get,

\frac{4}{6}=\frac{10}{x}

i.e. x=\frac{60}{4}

i.e. x = 15

Hence, the length of the image of the photo on the calendar is 15 inches.

3 0
3 years ago
Please help solve this problem
irina1246 [14]

Answer:

y = 15

Step-by-step explanation:

The triangles follow a scale factor. This scale factor can enlarge or make a triangle smaller, using this factor, like a ratio. We can do 22/10 to get this scale factor for the set, which is 2.2. Finally, divide 33 by 2.2 to get 15 for the missing side length y.

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