What is the value of tan(π6)

Answer:  The two roots are x = 3/2 and x = -2

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Explanation:

You have the right idea so far. But the two numbers should be 3 and -4 since

The -1 being the coefficient of the x term.

This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.

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Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.

If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2

Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x

So we have the factor -x-2 along the top

The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.

We have the factor 2x-3 along the left side.

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The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)

The last thing to do is set each factor equal to 0 and solve for x

The two roots are x = 3/2 and x = -2

Answer:

16.51 square meters.

Step-by-step explanation:

The area of the bedroom can be determine by the formula:

Area = Length * Width

Length of the room is 4.3 meters while width of the master bedroom is 2.4 meters. The length of the closet is 0.6 meters and width is 1.5 meters. The area can be determined by:

2.4 - 1.5 = 0.9 meters

4.3 - 0.6 = 3.7 meters

Area = 3.7 * 0.9

= 3.3 meters.

Conversion from meters to square meters = 3.3^2

Area = 16.51 square meters.

Answer:

try 40%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let stock worth be x.

The inequality will be x ≥ 3.5

The graph will be a number line with numbers 1, 2, 3 , 4 , 5 , 6 . . .

Then darken a small circle at 3.5 and darken the line

moving towards 4, 5 , 6 . . .  and finally end with an arrow mark. showing it goes to ∞  

Answer:

[tex]x=33[/tex]

Step-by-step explanation:

Since all three angles marked form one side of a line, they must add up to 180 degrees. Therefore, we have the following equation:

[tex]90+(x+1)+(3x-43)=180,\\x+1+3x-43=90,\\4x-42=90,\\4x=132,\\x=\boxed{33}[/tex]

Answer:

x=33

Step-by-step explanation:

The three angles form a straight line, which is 180 degrees

90+ x+1 + 3x-43 = 180

Combine like terms

4x+48 = 180

Subtract 48 from each side

4x+48-48 = 180-48

4x = 132

Divide by 4

4x/4 = 132/4

x=33

Answer:

10 divided by two-fifths = 25.

Answer:

<6 and <4

Step-by-step explanation:

Complemetary angles are angles that their measure add up to 90 degrees

the angles meet this requirment in this image are angle <6 and angle <4

Answer:

I think 12:00

Step-by-step explanation:

please thank my answer

Answer:

I think 12:15

there only 6 minutes to 12:15. But at 12:00 there are 9 minutes

Step-by-step explanation:

[(1/6 × 3/4) + (3/4) + 1] n = 51.75 -3

(⅛ + ¾ +1)n = 48.75

15/8 n = 48.75

1.875 n = 48.75

n = 48.75/1.875

n = 26

so, the cost of :

the brush = ⅛×26 = $ 3.25

the sketchbook = ¾×26 = $ 19.5

the pain set = $ 26

Answer:

9 weeks

235 -73=162 (this is the amount he paid)

162/18=9 (he has been paying his mom for 9 weeks)

Answer:

9 weeks

Step-by-step explanation:

235-73 = 162 (how much he has paid her thus far)

162/18 (how many times he payed her) = 9

The equation of circle with the center at (h,k) is:

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

r stands for radius. Therefore r^2 = diameter or 2×radius.

The question has already given the information we need, which are:

Since the center is (h,k) - therefore the center is at h = 0 and k = 8 making it (h,k) = (0,8).

Substitute the values in the equation:

[tex] \large{ {(x - 0)}^{2} + {(y - 8)}^{2} = {4}^{2} }[/tex]

Simplify to the simplest form

[tex] \large \boxed{ {x}^{2} + {(y - 8)}^{2} = 16} \: \: \: \: \huge{ \green{\checkmark}}[/tex]

Answer

the answer is 16.0 or 11.0

Answer: hello options related to your question is missing attached below is the missing option

answer :

4/9 ≤ r < 1/2  ----- ( c )

Step-by-step explanation:

Given that G denotes the centroid of triangle ABC and points M, N are points found in the interiors of segments AB,AC

also Given that r denotes  ratio of triangles AMN to triangle ABC

attached below is a detailed solution

Answer:

2nd bank

Step-by-step explanation:

bank one:10*2=(20*3=60)

                $1000+$100+$60=$1160

                total after 3 years = $1160

bank two:$10*6=(60*3=180)

                 $1000+$180=$1180

                total after 3 years = $1180

Answer:

[tex]\text{1) }\frac{1}{2}(8)(5)[/tex]

Step-by-step explanation:

The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex]. Since we're given a base of 5 and a height of 8, the area is given by [tex]\boxed{\text{1) }\frac{1}{2}(8)(5)}[/tex].

Answer:

y = 4x

y = -1/3 × x + 6

y = x + 1

y = 1

y = 5x

Step-by-step explanation:

the slope of a line is the factor of x in the equation representing the ratio of y/x. it stands for the number of units y changes, when x changes by another number of units.

like the factor 4 tells us that when x changes by 1, then y changes by 4.

a line parallel to another line means their slopes are identical (otherwise they could not be parallel).

the slope of a perpendicular line (cutting the other line in a 90 degree angle) is simply reversing y and x in the slope ratio. so, a slope of 4 (4/1) would simply turn into 1/4.

now the 5 tasks are easy, right ?

A y=4x-1, B y=4x + c

and because B passes through the origin = (0,0),

c is 0 (0=4×0 + c = c)

B y = 4x

A y=-3x+1, B y=-1/3 × x + c

and B passes through (12,2), 2 = -1/3 × 12 + c = -4 + c,

c = 2 + 4 = 6

B y = -1/3 × x + 6

A y = ax + c for (5,6) and (7,8), B is identical

6 = a×5 + c => c = 6 - a×5

8 = a×7 + c => 8 = a×7 + 6 - a×5 = a×2 + 6

=> a×2 = 8-6 = 2

=> a = 1, c = 6 - 1×5 = 1

=> A and B y = x + 1

A is vertical. B is perpendicular to it. perpendicular to vertical is horizontal. so, B is a flat line. which means y is a constant value (the same value for whatever value of x you want to use). so it goes flat in parallel to the x-axis through what value of y ? the point (4,1) tells us that y=1

and that is the equation for B

A 15x -3y = -6 => 3y = 15x + 6 => y = 5x + 2

B is parallel, so y = 5x + c

and B passes through (4,20), 20 = 5 × 4 + c = 20 + c,

c = 20 - 20 = 0

B y = 5x

Answer:

$3360

Step-by-step explanation:

4200(.80) = 3360

anything less than 1.00 will be a decreasing amount, so i just took the 80% and put it as a decimal and multiplied to find the current cost of the car

Answer: My teacher told me to use 180 and divide something.

Step-by-step explanation:

Answer:

isnt itjust 15?

Step-by-step explanation:

1 +1+1+1 = 4  5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry

Answer:

the equation has no solution

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]B)\text{ } G(x)=x^3-5[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{g(x)=x^3-5}[/tex]

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

a.

0.2805 = 28.05% probability that an inventor has a best idea from 6 A.M. to 12 noon.

0.1273 = 12.73% probability that an inventor has a best idea from 12 noon to 6 P.M.

0.3385 = 33.85% probability that an inventor has a best idea from 6 P.M. to 12 midnight.

0.2536 = 25.36% probability that an inventor has a best idea from 12 midnight to 6 A.M.

b. They do, as the the sum of the probabilities of all possible outcomes should be 1, as is in this question.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the total outcomes.

We have:

A total of 966 inventors.

Question a:

6 A.M. to 12 noon

271 out of 966, so:

[tex]p = \frac{271}{966} = 0.2805[/tex]

0.2805 = 28.05% probability that an inventor has a best idea from 6 A.M. to 12 noon.

12 noon to 6 P.M.

123 out of 966, so:

[tex]p = \frac{123}{966} = 0.1273[/tex]

0.1273 = 12.73% probability that an inventor has a best idea from 12 noon to 6 P.M.

6 P.M. to 12 midnight

327 out of 966, so:

[tex]p = \frac{327}{966} = 0.3385[/tex]

0.3385 = 33.85% probability that an inventor has a best idea from 6 P.M. to 12 midnight.

12 midnight to 6 A.M.

245 out of 966. So

[tex]p = \frac{245}{966} = 0.2536[/tex]

0.2536 = 25.36% probability that an inventor has a best idea from 12 midnight to 6 A.M.

b. Do the probabilities add up to 1? Why should they?

0.2805 + 0.1273 + 0.3385 + 0.2536 = 1

They do, as the the sum of the probabilities of all possible outcomes should be 1, as is in this question.

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point a:

Bisector Theorem: When a point has been on the perpendicular bisector of a segment, the perpendicular bisector is equivalent towards the segment endpoints. They understand that conversation also valid in addition to the Theorem including its perpendicular bisector. So the distance b/w L and J, L, and k must be found. Examine it then.

For point b:

Calculating the distance among two point:

[tex]d_0 = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}[/tex]

Calculating the distance among J and L

[tex]d_1 = \sqrt{((-9)-(-7))^2 + (5)-(-8))^2}[/tex]

    [tex]=\sqrt{(-2)^2+(13)^2}\\\\ = \sqrt{173}[/tex]

Calculating the distance among  K and L  

[tex]d_2 = \sqrt{((-9)-(1))^2 + (5)-(4))^2}[/tex]

    [tex]=\sqrt{(10)^2+(1)^2}\\ = \sqrt{101}[/tex]

For point c:

As these two distances are not equal, L doesn't really lie on the JK bisector.

Answer:

The answer is 46'

Step-by-step explanation:

The first triangle is:85'+53'+Y=180' so y=42'

The second triangle with X is:92+42'+X=180' so X=46'

Answer:

It is rational number.

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

21,735

Step-by-step explanation:

Answer:

dhjfydhftb7cuvdihcdjxuihy

Answer:

i also need help with these one please help

Step-by-step explanation:

Answer:

$539.55

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

I=Prt

I= 650*0.05*1

I=32.5