Find the exact value of sin 2pi/3

Answer:

(5/2)² must be added to the equation to complete the square.

Step-by-step explanation:

The given equation is

x^2+5x+10=0

writing it in in square form

(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0

We multiply (5/2) to the mid term because we have to make 2x equal to 5x.

As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.

Making 2x equal to 5x gives (5/2) as the second element.

Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.

Now we can solve it.

(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0

(x + 5/2)²-(5/2)² + 10= 0

(x + 5/2)²- 25/4+ 10= 0

(x + 5/2)²- 25*5 +10*5/4*5= 0

(x + 5/2)²-  125+50/20= 0

(x + 5/2)²-  175/20= 0

(x + 5/2)²=  175/20

Answer:

skewed to the left

Step-by-step explanation:

A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.

If the mean is greater than the median, the histogram would be skewed to the right

If the mean is less than the median, the histogram would be skewed to the left.

The mean in this question is $46,200 while the median is $54,500. So, the histogram would be skewed to the left

Answer:

It represents polynomial expression

Answer:

4 hours

Step-by-step explanation:

You divide 12 by 3 and the answer is 4.

hope this helped

Answer:

B

Step-by-step explanation:

Answer:

14 %   pure juice comes from  first brand

Step-by-step explanation:

Mixture:

17 gal 30% contains:  17x 30% = 5.10 gal pure juice

 Second brand:

8 gal 48% contains:  8x40% =  3.84   gal pure juice

5.10 − 3.84 = 1.26   gal

1.26   gal is  coming  from 9 gal of first  brand

The percentage of first brand  is:

(1.26/9) x100  =  14 %   pure juice.

Answer:

That is incorrect. It would be appropriate if the median were 79.3, since the median is the value in the middle (when placing the data in order).

Conclusion of principal about mean is not justified. Mean represents the average of the data. For such conclusion mode is the correct option.

" Mean is defined as the ratio of the sum of all the given numbers in the data to the total numbers of numbers in the data. It is also known as average of the data."

" Mode represents the value which occurs maximum numbers of times in the set of data."

According to the question,

Average grade for the first semester for all subjects = 79.3

Based on this mean

Principal concludes that half of the grades scored 79.3.

For example:

There are 5 students 3students score 100 , one student score 48 and another one got 50.

Mean of the class = [tex]\frac{398}{5}[/tex]

                                   = 79.6

Here no student score 79.6.

Principal conclusion is not justified.

Mean is not the correct option to justify maximum number of students marks it is represented by mode.

Hence, conclusion of principal about mean is not justified. Mean represents the average of the data. For such conclusion mode is the correct option.

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Answer:

The solution to the equation is:

Step-by-step explanation:

To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:

And we solve:

As you can see, the solution of the equation is x = 2.5 or x = 5/2

Answer:

12,5

Step-by-step explanation:

First, you need to find how many kilobytes do you download every seconds.

You simply divide 48 kilobyte / 5 seconds and you get 9,6 kB/s.

Now you know that your download speed is this you can find the amount of time needed for downloading 120 kilobytes.

You simply divide [tex]\frac{120 kilobytes}{9,6 kilobytes/s} = 12.5 s[/tex].

12,5 seconds.

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the center of the circle and r is the radius. Filling in:

[tex](x-2)^2+(y-3)^2=16[/tex]

Answer:

1/3

1/7

1/11

1/13

1/17

Step-by-step explanation:

mark me brainliest!!

Answer:

20

Step-by-step explanation:

6×2=12 + 8 = 20

so you answer for number 3 is twenty

Answer:

y ≈ 61

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{y}{sin117}[/tex] = [tex]\frac{21}{sin18}[/tex] ( cross- multiply )

y × sin18° = 21 × sin117° ( divide both sides by sin18° )

y = [tex]\frac{21sin117}{sin18}[/tex] ≈ 61 ( to the nearest whole number )

Hi there! For this question, you need to know the ratio of sine and cosine.

Define A = angle

opposite and adjacent side changes only if we focus on another angle.

From the picture, if we focus on angle S, the opposite would be 36. But if we focus on angle R (flip to make RT as base), see that the opposite would be 14.

Answer

The bold one is simplest form while the non-bold is non-simplest.

Questions can be asked through comment.

Hope this helps, and Happy Learning ! :)

Answer:-22

Step-by-step explanation:Just put the value -1 wherever there is x.

Answer:

f(-1) = -22

Step-by-step explanation:

f(x): 2x^3 - 3x^2 + 7x - 10

Repace x = -1

f(-1) = 2(-1)^3 - 3(-1)^2 + 7(-1) - 10

f(-1) = -2 - 3 - 7 - 10

f(-1) = -22

Answer:

4.6667

Step-by-step explanation:

Answer:

4.66666667

Step-by-step explanation:

I was never sure about the amount 6's in it, but 2/3 is just .6666666... (so on) and 4 is a whole number so you'll just place it before like so: 4.66666..

Answer:

[tex](6 {x}^{2} - 5x + 10) - 2 {x}^{2} - x + 13 \\ 6 {x}^{2} - 5x + 10 - 2 {x}^{2} + x - 13 \\ = 4 {x}^{2} - 4x - 3[/tex]

Answer:

Step-by-step explanation:

• AB, BC, and AC form a triangle. Enter a possible value of AC....

So it asks for only a possible value of AC as there are many possible values.

Given AB = 8 cm and BC = 6 cm, they are in the ratio of 3:4.

Line segments of 3, 4 and 5 length will form a right-angled triange.

A possible value of AC = 5*2 = 10cm

• Points A, B, and C lie on the same line, and C lies between A and B.

So AC+CB = AB

AC+6 = 8

AC = 2cm

Enter this value of AC in the second

response box.

Answer:

Step-by-step explanation:

if ABC forms a triangle, AB=8 and BC=6

a possible value of AC=10cm

if ABC is a line segment n C is between A n B

AC + BC = AB

AC = 8 - 6 = 2cm

Answer:

(-5,-4) quadrant is in III quadrant

Answer:

Step-by-step explanation:

Please the number given in place of its letter in your equation

x = 5y + 2 if y = 7

x = 5*7 + 2

x = 35 + 2

x = 37

Apply the same principle to the others

Answer:

12

Step-by-step explanation:

Answer:

( x + 5 )² + ( y + 4 )² = 29

Step-by-step explanation:

Equation of the circle is

( x - h )² + ( y - k )² = r²

( h, k ) are coordinates of the center

~~~~~~~~~~~~~~~~~~~~~

Coordinates of the center of the circle are

( [tex]\frac{-3-7}{2}[/tex] , [tex]\frac{-9+1}{2}[/tex] ) = ( - 5 , - 4 )

d = 2√29 ⇒ r = √29

( x + 5 )² + ( y + 4 )² = 29

Answer:

A particular man on the seat, then 2 men are out of 4:

4 women out of 7:

Total combinations:

Option 1. 2 men excluded

3 men out of 3 and 4 women out of 7

Total ways:

Option 2. 2 women are excluded

3 men out of 5 and 4 women out of 5

Option 3. 1 man and 1 woman excluded

3 out of 4 men and 5 out of 6 women:

No restrictions, so the number of ways:

The expression on the left matched with an equivalent expression on the right are;

3x + 0 = 3x

5/3 - x + 1/3 = -3/2x + 2 + 1/2x

2x - 3 = x - 3 + x

2x - 6 = -6 + 2x

3/5 - 13/5 = -6.9 + 4.9

3x + 0 = 3x

5/3 - x + 1/3

combine like terms

= 5/3 + 1/3 - x

= (5+1)/3 - x

= 6/3 - x

= 2 - x

-3/2x + 2 + 1/2x

combine like terms

-3/2x + 1/2x + 2

= (-3+1)x / 2 + 2

= -2/2x + 2

= -x + 2

2x - 3 = x - 3 + x

2x - 6 = -6 + 2x

3/5 - 13/5

= (3-13)/5

= -10/5

= -2

-6.9 + 4.9

= -2

Ultimately, an expression is said to be equivalent when the value on the right hand side is equal to the value on the left hand side.

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Answer:

x=2 is the axis of symmetry

Step-by-step explanation:

Answer:

Step-by-step explanation:

87 = x + 90

Isolate the variable by subtracting 90 on both sides

87 = x + 90

-90      -90

x=-3

-4x = 16

Isolate the variable by dividing by -4 on both sides

-4x=16

/-4   /-4

x = -4

43 = 6x - 5

Answer:

Step-by-step explanation:

The number 1000 has prime factors:  2, 2, 2, 5, 5, 5.

The factors of 1000 include 1 and combinations of these numbers multiplied together (in any arrangement):

                    1,  2*2*2*5*5*5     or  1, 1000

                    1*2,  2*2*5*5*5    or  2, 500

                    1*2*2,  2*5*5*5    or  4, 250

                    . . .      (You already did these)

But, a “factor” is “a number or quantity that when multiplied with another produces a given number or expression,” so you should consider the following:

           How many 1's?    How many 5's?    How Many 2's?    [and any others ...]

1 =                    1                        0                    0

2 =                    1                        0                    1

4 =                    1                        0                    2

8 =                    1                        0                    3

5 =                    1                        1                    0

10 =                  1                        1                    1

20 =                  1                        1                    2

40 =                  1                        1                    3

25 =                  1                        2                    0

50 =                  1                        2                    1

100 =                1                        2                    2

200 =                1                        2                    3

125 =                1                        3                    0

250 =                1                        3                    1

500 =                1                        3                    2

1000 =              1                        3                    3

There are 4*4=16 factors because there can be 4 (that is, 0-3) 5's and 4 (that is 0-3) 2's.

Answer:

the answer to the question is four

Answer:

-1, 1, 3, 5, 7

Step-by-step explanation: