someone please help- just look at the picture

Each side of the hexagon is about 105.219 ft².

Note that:

A F: 30 ft long.

A O = 1/2 A F = 3ft

Δ C J X =  0 X = 1/2 (A F - A O)

= 1/2 (30-3)

= 13.5ft

Sin 60° =[tex]\frac{0x}{cx}[/tex]

cx = [tex]\frac{ox}{sn 60}[/tex]

= 15.558ft = CJ (Sides)

Hence: Each side of the hexagon is: 1/2 CJ  x OX  = 105.219 ft².

The area of the seating section is:

6 ( Each side of the hexagon )

=  6 x 105.219 ft².

631.315 ft².

The area of the entrance and seating section combines is:

CJ x AO = 46.764ft².

The area of the entrance is:

631.315 ft²+ 46.764ft².

= 678. 078ft².

Hence, Each side of the hexagon is about 105.219 ft².

Learn more about hexagon from

https://brainly.com/question/3812956

#SPJ1

The function transformations are:

Transformations involve translating, reflecting, rotating and dilating a function across the coordinate plane

The parent function of a quadratic function is represented as:

y = x^2

When the function is stretched horizontally by a factor of k, where k is between 0 and 1, we have:

y = (x/k)^2

Assume k = 1/4. we have:

y = (4x)^2

This means that the function (c) y = (4x)^2 is stretched horizontally by a factor of 1/4

When the function is stretched vertically by a factor of k, where k is greater than 1, we have:

y = k(x)^2

Assume k = 4. we have:

y = 4x^2

This means that the function (d) y = 4x^2 is stretched vertically by a factor of 4

Translating the function left is represented as:

y = (x + k)^2

Assume k = 2. we have:

y = (x + 2)^2

Reflecting the function across the x-axis is represented as

y = -(x + 2)^2

When the function is compressed vertically by a factor of k, where k is between 0 and 1, we have:

y = -k(x + 2)^2

Assume k = 1/2. we have:

y = -1/2(x + 2)^2

Translating the function up is represented as:

y = -1/2(x + 2)^2 + k

Assume k = 4. we have:

y = -1/2(x + 2)^2 + 4

Hence, the function (a) y = -1/2(x + 2)^2 + 4 is translated to the left by 2 units, reflected across the x-axis, compressed vertically by a factor of 1/2 and translated up by 4 units

Translating the function right is represented as:

y = (x - k)^2

Assume k = 1. we have:

y = (x - 1)^2

Reflecting the function across the x-axis is represented as

y = -(x - 1)^2

Translating the function down is represented as:

y = -(x - 1)^2 - k

Assume k = 2. we have:

y = -(x - 1)^2 - 2

Hence, the function (b) y = -(x - 1)^2 - 2 is translated right by 1 unit, reflected across the x-axis, and translated down by 2 units

Read more about function transformation at:

https://brainly.com/question/1548871

#SPJ1

Answer:

x = 2/5

y = 3/5

Step-by-step explanation:

**Disclaimer** Hi there! I assumed the question to be a system of equations. The following answer is a method for solving a system of equations. Thus, if it is not, please let me know and I will modify my answer.

Given information:

[tex]\frac{x}{2}+y=\frac{4}{5}[/tex]

[tex]x+\frac{y}{2} =\frac{7}{10}[/tex]

Eliminate fractions by multiplying 10 on both sides of the first equation:

[tex]10*\frac{x}{2}+10*y=10*\frac{4}{5}[/tex]

[tex]5x+10y=8[/tex]

Eliminate fractions by multiplying 10 on both sides of the second equation:

[tex]10*x+10*\frac{y}{2} =10*\frac{7}{10}[/tex]

[tex]10x+5y=7[/tex]

Current system:

[tex]5x+10y=8[/tex]

[tex]10x+5y=7[/tex]

Multiply the second equation by 2:

[tex]5x+10y=8[/tex]

[tex]20x+10y=14[/tex]

Subtract the first equation from the second equation:

[tex](20x+10y)-(5x+10y)=14-8[/tex]

[tex]20x+10y-5x-10y=6[/tex]

[tex](10y-10y)+20x-5x=6[/tex]

[tex]0+15x=6[/tex]

[tex]\boxed{x=\frac{2}{5} }[/tex]

Substitute the x value back to one of the equations to get the y value:

[tex]x+\frac{y}{2} =\frac{7}{10}[/tex]

[tex](\frac{2}{5}) +\frac{y}{2} =\frac{7}{10}[/tex]

[tex](\frac{2}{5}) +\frac{y}{2}-\frac{2}{5} =\frac{7}{10}-\frac{2}{5}[/tex]

[tex]\frac{y}{2} =\frac{3}{10}[/tex]

[tex]\frac{y}{2}*2 =\frac{3}{10}*2[/tex]

[tex]\boxed{y=\frac{3}{5} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The answer is x = 2/5, y = 3/5 or (2/5, 3/5)

First, in order to avoid fractional values during calculation, multiply both equations by 10 to simplify.

Multiply the 1st equation by 10 and 2nd equation by 5.

    3. 10 (5x +  10y) = 10 (8) ⇒ 50x + 100y = 80

    4. 5 (10x + 5y) = 5 (7) ⇒ 50x + 25y = 35

Subtract : 3rd equation - 4th equation

Now, substitute for x in the 1st equation to find y.

The extreme drop can be said to most likely represent: b. A reflection of the migratory nature of the birds at the lake.

Bird migration is a natural process which can be described as a the movement of different birds by flight across thousands of kilometers in search of ecological conditions and habitats that favors breeding, feeding, and raising of their young.

Migratory birds have well built physiology and morphology that make them better equip to fly fast and across long distances in search of the best ecological conditions, which is dependent on seasons.

Like in the graph given, like we see that at the beginning of January, number of birds were few in the lake until sudden increase occurred. It can be said that during those period of increase, the ecological conditions favored the survival of the bird until November and December. This extreme drop can be said to most likely represent: b. A reflection of the migratory nature of the birds at the lake.

Learn more about migratory birds on:

https://brainly.com/question/9386045

#SPJ1

The total number of light bulbs the company will make in weeks 9.36 × 10² is 4.27 × [tex]10^{6}[/tex] bulbs.

Work completed in a certain length of time is referred to as productivity (power). One hour, one minute, or one second makes to a unit.

Calculation for the total number of bulbs produced in given week;

Number of bulbs produced per week = 4.56 × 10³

Now, estimate how many bulbs will be produced in 9.36 × 10² weeks.

To estimate how many light bulbs were created in the allotted period, we will simply multiply both values.

Number of light bulbs the company will make in 9.36 × 10² weeks is;

= 4.56 × 10³ × 9.36 × 10²

= 4.27 × [tex]10^{6}[/tex]

Therefore, the total number of bulbs produced in weeks 9.36 × 10² is 4.27 × [tex]10^{6}[/tex] bulbs.

To know more about Productivity, here

https://brainly.com/question/13532088

#SPJ4

The complete question is -

A company produces 4.56*10^3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36*10^2 weeks?

there are two correct options:

We know that:

f(x) = 3x + 1

Now, if we look at the graph of f(x), we can see that the y-intercept is at y = -5, and for each increase in one unit in the x-variable, there is an increase of 3 units in the y-variable.

Then the equation of g(x) is:

g(x) = 3*x - 5

Then g(x) is a translation downwards of 6 units, such that:

g(x) = f(x) - 6 = (3x + 1) - 6 = 3x - 5

And we also could write it as a horizontal translation of 2 units to the right:

g(x) = f(x - 2) = 3*(x - 2) + 1 = 3*x - 3*2 + 1 = 3x - 5

So there are two correct options:

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

Step-by-step explanation:

Pythagoras :

c² = a² + b²

the only problem : we don't know which one of the 3 expressions is the longest side (= c = Hypotenuse).

let's try with 8x -21

(8x - 21)² = (3x - 7)² + (6x)²

64x² - 336x + 441 = 9x² - 42x + 49 + 36x²

19x² - 294x + 392 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 19

b = -294

c = 392

x = (294 ± sqrt(86436 - 4×19×392))/(2×19) =

= (294 ± sqrt(56644))/38 =

= (294 ± 238)/38

x1 = (294 + 238)/38 = 532/38 = 14

x2 = (294 - 238)/38 = 56/38 = 28/19 = 1.473684211...

I assume, we are looking for a whole number solution.

so, x = 14 is the solution.

Answer:

0.87%

Step-by-step explanation:

→ Divide 0.87 by 10

0.87 ÷ 100 = 0.0087

→ Multiply answer by 100

0.0087 × 100 = 0.87

Answer:

Step-by-step explanation:

1)  The equation of circle  having center at origin:

       x² + y² = r²

Where 'r' is the radius.

diameter = 36

r = 36 ÷ 2 = 18

  Equation of circle :

      x² + y² = 18²

       x² + y² = 324

Option d.

2) Find the discriminant D.

 If  D > 0, then the quadratic equation has two distinct real roots.

  If  D= 0, then the quadratic equation has two identical real roots.

  If  D < 0, then the quadratic equation has no real roots.

  D = b² - 4ac

 x² - 6x + 9 = 0

a = 1  ; b = -6 ; c = 9

D = (-6)² - 4*1*9

  = 36 - 36

D = 0

As D = 0, the quadratic equation has two identical real roots

Option a.

3) The axis of symmetry of a parabola is the vertical line passing through the vertex. It will be middle of the x-intercepts.

X- intercepts are -8 , 2

 ( -8 + 2 ) ÷ 2 = -6 ÷ 2  =  -3

x = - 3

Option d.

Answer:

$600

Step-by-step explanation:

For 8 hours she makes $120

For 1 hour she makes $120÷8 = $15

For 40 hours she makes $15 × 40 = $600

Our final answer is $600

Hope this helped and have a good day

If f(x) = 2x + 3 then Δy/Δx = 2 and g(x) = 2² +3 then Δy/Δx = 2.33.

The correct answer is option A.

f(x) has a rate of change of 2

g(x) has a rate of change of 2.33

So g(x) is growing faster

Let f(x) = 2x + 3 and g(x) = 2² +3

Let, ∆y /∆x denotes the ratio of y change and x change when x change exists relatively large.

If f(x) = 2x + 3

Δy/Δx = [f(3) - f(0)]/3 - 0

f(3) [tex]= 2*3+3 = 9[/tex]

f(0) [tex]= 2*0+3 = 3[/tex]

[f(3) - f(0)]/3 - 0 = (9 - 3)/3

= 6/3 = 2

g(x) = 2² +3

Δy/Δx = [g(3) - g(0)]/3 - 0

[tex]$= (2^3 +3)-(2^0 +3)/3[/tex]

[tex](2^3 +3)-(2^0 +3) = 7[/tex]

[tex](2^3 +3)-(2^0 +3)/3[/tex] = 7/3 = 2.33

Therefore, the correct answer is option A.

f(x) has a rate of change of 2

g(x) has a rate of change of 2.33

So g(x) is growing faster

To learn more about functions refer to:

https://brainly.com/question/11388036

#SPJ9

Answer:

Graph B is not linear.

Step-by-step explanation:

This question asks for a linear relationship. Graph B is not linear.

Please look closely at the attached images where I gave graphed these points.

I hope this helps. Please let me know if you have questions.

Answer: 1. an = n + 4,   2. ( 3 1/2, 3.5, 5),   3. 6 1/12,   4. 97,   5. 0.2 meters,    6. 4.52,   7. 3 1/18

Step-by-step explanation:

Nani could purchase her pineapple from stores A, D, and E.

Given Information

It is given that Nani needs to purchase  8 cups of pineapple.

The unit prices of pineapple at each store is as follows,

Store A : 0.49

Store B : 0.51

Store C : 0.55

Store D : 0.48

Store E : 0.45

Amount that Nani has = $4

Reason Behind Purchasing From Either A, D, or E

Since Nani has amount of $4, she can purchase pineapple only from the stores where the total cost of 8 pineapple cups adds up to less than $4. The purchase of 8 pineapple cups at each store would be given as,

Store A : 0.49(8) = $3.92

Store B : 0.51(8) = $4.08

Store C : 0.55(8) = $4.40

Store D : 0.48(8) = $3.84

Store E : 0.45(8) = $3.60

As it can be seen, Nani can purchase from the store A, D, and E as it falls within her budget of $4.

Learn more on purchase here:

https://brainly.com/question/24112214

#SPJ4

The equation can be used to find other combinations of x and y is  y^2 = (1/16)x^3

The direct variation from the square of y to the cube of x is represented as:

y^2 = kx^3

Where k represents the variation constant.

When x = 4, y = 2.

So, we have:

2^2 = k * 4^3

This gives

4 = 64k

Divide both sides by 64

k = 1/16

Substitute k = 1/16 in y^2 = kx^3

y^2 = (1/16)x^3

Hence, the equation can be used to find other combinations of x and y is  y^2 = (1/16)x^3

Read more about direct variation at:

https://brainly.com/question/6499629

#SPJ1

Answer:

Cookies = 44

Step-by-step explanation:

universal U=60

let the number of cookies be C,

n(C)=(3*b)-4

and the number of brownies be b,

n(b)=?

n(buc)=60

b+c=60

then, c=60-b

substitute for c=60-b.

60-b=3b-4

60+4=3b+b

64=4b

b=16

c=60-b

c= 60-16

c=44

Let [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex] be the nonzero rows of [tex]$R$[/tex] starting from the 1st row to the [tex]k[/tex]th row.

Step 1: We want to show that

R(R)= span [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]

For any vector [tex]v $$\in \mathcal{R}(R)$$[/tex], We may write

v= [tex]$$c_{1} \boldsymbol{r}_{1}+c_{2} \boldsymbol{r}_{2}+\cdots+c_{k} \boldsymbol{r}_{k}+c_{k+1} \mathbf{0}+\cdots+c_{m} \mathbf{0}$$[/tex]

Then v= [tex]$$c_{1} r_{1}+c_{2} r_{2}+\cdots+c_{k} r_{k}$$[/tex]

So [tex]v[/tex] belongs to span{ [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]}

Thus R(R)[tex]\leq[/tex] Span [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]

But trivially,

span [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]≤ span{[tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex], 0, . . . , 0} = R(R),

span [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]=R(R)

Step 2: We want to show that  [tex]$\boldsymbol{r}_{1}, \ldots, \boldsymbol{r}_{k}$[/tex]are linearly independent. Suppose otherwise,

then we can write

[tex]$$c_{1} \boldsymbol{r}_{i_{1}}+\cdots+c_{\ell} \boldsymbol{r}_{i_{\ell}}=\mathbf{0}$$[/tex]

From Steps 1 and 2, we have proven that the nonzero rows of R form a basis for the row space.

#SPJ4

Answer:

8 books per box.

Step-by-step explanation:

One must assume that the books are evenly distributed among the boxes.  Ryan has 3 books already and adds 4 boxes to reach a total of 35 books:

3 books + 4 boxes = 35 books

4 boxes = 35 books-3 books

4 boxes = 32 books

1 box = 8 books

There are 8 books per box.

Answer:

x- axis , quadrant 2 , quadrant 3

Step-by-step explanation:

(9.5, 0 ) ← is located on the x- axis

(- 4, 7 ) ← is located in Quadrant II

(- 1, - 8 ) ← is located in Quadrant III

Answer:

Hello,

Step-by-step explanation:

All is in the following picture:

For a person to be able to create a coordinate proof to show that the two triangles are congruent by the SSS Triangle Congruence Theorem one can simply use the distance formula.

Given that the distance formula =

[tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1}^{2} )}[/tex]

Let say that Angle ABC has the vertices of A (-4, -2),  B (-5,1). C (0,2) and Angle DEF   has the vertices of D (7, -4), E (4,-5), F (3,0)

So lets prove it:

AC = [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1}^{2} )}[/tex]

=[tex]\sqrt{(-4-0)^2 + (-2-2)^2}[/tex]

=[tex]\sqrt{32}[/tex]

= 4[tex]\sqrt{2}[/tex]

Do the same for DF:

DF = [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1}^{2} )}[/tex]

= [tex]\sqrt{(7-3)^2 + (-4-0)^2}[/tex]

=[tex]\sqrt{32}[/tex]

= 4[tex]\sqrt{2}[/tex]

Looking at the above, one can see the values are the same and as such this proves that AC is the same to DF. If you do the same for the other part of the angles, you will see that they are congruent.

Therefore, For a person to be able to create a coordinate proof to show that the two triangles are congruent by the SSS Triangle Congruence Theorem one can simply use the distance formula.

Learn more about congruent Angle from

https://brainly.com/question/2938476

#SPJ

Answer:

1083 seats

Step-by-step explanation:

i just answered that.

arithmetic sequence

a1 = 10

an = an-1 + 1 = a1 + (n-1)×1 = 10 + (n-1) = 9 + n

a38 = 9 + 38 = 47 seats

the sum of such an arithmetic sequence

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

The odds in favor of winning $5 or more is 3 : 13

The odds of winning $5 or more can be determined by finding the ratio of the total value of tickets that have a value of $5 or greater to the total value of tickets.

Total number  of the tickets that have a value of $5 or more = 25 + 5 = 30

Total number of ticket  = 25 + 5 + 100 = 130

Ratio : 30 : 130

3 ; 13

To learn more about ratios, please check: https://brainly.com/question/9194979

#SPJ1

Answer: 49

Step-by-step explanation:

This polygon has 5 sides, meaning its interior angles add to [tex]180(5-2)=540^{\circ}[/tex].

[tex]3x+30+x+2x+x+20+3x=540\\\\10x+50=540\\\\10x=490\\\\x=49[/tex]

Answer:

he buts 20 protein bars and 40 water bottles

Step-by-step explanation:

so first u set up an equation like this

46=.90x+.70(2x)

next you multipy

46=.90x+1.4x

Then add

46=2.3x

then divide by 2.3 to solve for x

x=20 so u have 20 protein bars

and 20 times 2 to find the amount of water bottles

Answer:

20 Protein bars and 40 waters.

Step-by-step explanation:

Let x = protein bars and y = waters

y = 2x          .9x + .7 y = 46

Looking at the second equation, I would rather not work with decimals, so I will multiple the whole equation through by ten.  That now gives m

9x + 7y = 460 Substitute in 2x for y (from my first equation above)

9x + 7(2x) = 460

9x +14x = 460  Combine 9x and 14x

23x = 460  Divide both sides by 23

x = 20  This is the number of protein bars.  To find y plug 20 into the first equation above.

y = 2x

y =20(2)

y = 40

The theorem which justifies that two lines are parallel when cut by a transversal k is converse of the alternate interior angles theorem.

Given that two lines m and n are parallel.

We have to find the theorem which justifies that the lines m and n are parallel when cut by a transversal k.

Parallel lines are those lines which do not meet each other at any point on the surface.

If we know that the alternte interior angles are equal,then m and n become parallel to each other.

So the converse of the alternate interior angles theorem correctly justifies that the lines are parallel if cut by a transversal k.

Hence to justify that two lines are parallel if they are cut by a transversal k, we have to use converse of the alternate interior angles theorem.

Learn more about lines at https://brainly.com/question/13763238

#SPJ4

Question is incomplete as it should include the following options:

1) converse of the corresponding angles theorem,

2) converse of the alternate interior angles theorem.

3) converse of the same side interior angles theorem,

4) converse of the alternate exterior angles theorem.

[tex]2sin {}^{2} (x) + sin(2x) = 2 \\ 2sin {}^{2} (x) + 2sin(x)cos(x) = 2 \\ sin {}^{2} (x) + sin(x)cos(x) - 1 = 0 \\1 - cos {}^{2} (x) + sin(x)cos(x) - 1 = 0 \\ - cos {}^{2} (x) + sin(x)cos(x) = 0[/tex]

[tex]cos(x)( - cos(x) + sin(x)) = 0[/tex]

[tex]cos(x) = 0 \\ x = \frac{\pi}{2} + k\pi \\ \\ sin(x) = cos(x) \\ x = \frac{\pi}{4} + k\pi[/tex]

Answer:

your picture is blank if you can fix it i will be glad to help you

Step-by-step explanation:

Answer:

First option

Step-by-step explanation:

The line corresponds to the f(x).

Hope this helps