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svp [43]
1 year ago
7

Solve for A, find the exact value of each expression below.

Mathematics
1 answer:
nataly862011 [7]1 year ago
4 0
\begin{gathered} \theta=\frac{7\pi}{6} \\ 2\sin (\frac{7\pi}{6})=2(\frac{-1}{2})=-1 \\ 2\sin (\frac{7\pi}{6})=-1 \\  \\ \sin ^2(\frac{7\pi}{6})=(\frac{-1}{2})^2=\frac{1}{4} \\ \sin ^2(\frac{7\pi}{6})=\frac{1}{4} \\  \\ \sin (-\frac{7\pi}{6})=-\sin (\frac{7\pi}{6})=-(\frac{-1}{2})=\frac{1}{2} \\ \sin (-\frac{7\pi}{6})=\frac{1}{2} \end{gathered}

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Last year 12 records in his collection now he has 15 records what is his percent increase of his Collection
Nesterboy [21]

Given that,

Last year record = 12

This year record = 15.

To find,

The percent increase of his Collection.

Solution,

The percent increase in his collection is given by :

\%=\dfrac{\text{final collection-initial collection}}{\text{initial collection}}\times 100\\\\=\dfrac{15-12}{12}\times 100\\\\=25\%

So, the percent increase of his collection is 25%.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B3%7D%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%2B%20x%20%2B%202%29%20%5Cdiv%20%20%28%
Roman55 [17]

(x^3+x^2+x+2) divide by (x^2-1)

We use long division to divide

There is no x term in x^2 -1  so we put 0x

                         x   +    1

                        ----------------------------

x^2+0x-1           x^3+ x^2 + x+ 2

                         x^3+0x^2-x

                         -----------------------------(subtract the bottom from top)

                               x^2 +2x + 2

                               x^2 +0x - 1

                          --------------------------------(subtract the bottom from top)

                                      2x + 3

                    -----------------------------------------    

Quotient : x+1

Remainder : 2x+3

                               


5 0
2 years ago
I need help writing this proof!!
brilliants [131]
1: m<ABD = m<CBE | given
2: m<CBD = m<CBD | reflexive
3: m<1 = m<3 | subtraction
7 0
3 years ago
the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are
Leya [2.2K]

Answer:

Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x.  therefore let x = length

Area = LW

192 =  x(4 + 1/2 x)

192 = 4x + 1/2x²      

384 = 8x  + x²                            Multiply each term by 2 to make a  

384 + 16 =  x² + 8x + 16              Complete the square

400 = (x  + 4)²        

\sqrt{400} = \sqrt{(x + 4)^2}

± 20 = x + 4

20 = x + 4  or  -20 = x + 4

20 - 4 = x     or  -20 - 4 = x

    16 = x   or   -24 = x   reject the negative amount

   Length = 16

   width = 4 + 1/2(16);   4 + 8 = 12

8 0
2 years ago
Lisa sold costume jewelry at a bazaar. The first hour she sold 2 bracelets and 3 rings for a total of $36.00 later a customer bo
saw5 [17]
2x + 3(6) = 36

2x + 18 = 36

2x = 18

x = 9

answer: each bracelet costs $9
7 0
2 years ago
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