square DEFG is inscribed in equilateral triangle ABC with a side length of 3+2√3.

Find: area of the square

The area of a cube-shaped present in a box Lainley wraps is A. 81 in²

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, A box that has a volume of 729 inches.

First we'll prime factorize 729.

729 = 3×243 = 3×3×81 = 3×3×3×3×3×3.

If we take the cube root of 729 it would be 3×3 = 9.

So, It is a cube with a side length 9.

Now, We know area of a cube is side².

Therefore, The area of this cube is 9² = 81 in².

learn more about cuboids here :

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taking a peek at this regular polygon hmm is has 6 sides, so is a hexagon, ok.

[tex]\textit{sum of all interior angles in regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies 6\theta =180(6-2) \\\\\\ 6\theta =180(4)\implies 6\theta =720\implies \theta =\cfrac{720}{6}\implies \boxed{x=\theta =120}[/tex]

Answer:

32;35

Step-by-step explanation:

a+b=67

a-b=3 => a=3+b

=>instead of a we write 3+b =>

a+b=67 => 3+b+b=67 => 2b=64 => b=32

=> a = 3+b=> a=32+3=35

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies SA=4\pi (8)^2\implies \stackrel{using~\pi =3.14}{SA\approx 804}[/tex]

You have to divide

its 9,165 divided by 13

[tex]\frac{9165}{13}[/tex] = 205

Teddy it takes 205 trips

to transfer 9,165 in a plane that can hold 13 people per trip

Hope I helped ^-^

Answer:

The range is −5≤y≤−1 - 5 ≤ y ≤ - 1 .

Answer:

Step-by-step explanation:

#19.

(7x - 2)° + (10 - 3x)° = 180°

(7x - 3x) + (10 - 2) = 180

4x = 172

x = 43

#21.

(6x - 144)° = (2x)°

4x - 2x = 144

2x = 144

x = 72

26.95 + 18.5 * 3 + 48 + 18.5 * 2

18.5 * 3 = 55.5

18.5 * 2 = 37

37 + 55.5 + 48 + 26.95 = 167.45

= $167.5

Answer:

63 degrees

Step-by-step explanation:

vertical angles are conruent

Hope this helps! :)

Answer:

The factors are x-3 and x+2, and the roots are 3 and -2.

Step-by-step explanation:

x^2-x-6 can be factored in the following way:

(x-3)(x+2)

The factors are x-3 and x+2, and the roots are 3 and -2.

Factored form of an expression is writing it in the terms of multiplication of factors. The factors of given expression are: (x-3) and (x+2)

Quadratic polynomial with single variables are expressible in the form

[tex]ax^2 + bx + c[/tex]

where x is the variable and a,b,c are constants.

Its factored form is

[tex]\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})[/tex]

For the given case, the expression given to us is [tex]x^2 - x - 6[/tex]

Comparing it with the standard form of quadratic expression  [tex]ax^2 + bx + c[/tex], we get: a = 1. b = -1. and c = -6

Using the aforesaid formula, we get:

[tex]=\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})\\\\=\dfrac{1}{4}\times(2x -1 - \sqrt{1 +24})(2a -1 + \sqrt{1 + 24})\\\\=\dfrac{1}{4} \times (2x - 1-5)(2x - 1 + 5)\\\\=(x -3)(x+2)[/tex]

Thus, The factors of given expression are: (x-3) and (x+2)

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Answer:

x=4

y=4

m=-1

b=4

no relatibe extrema

no horizontal asymtotes

netheir even nor odd

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer: 40 kilometers

Step-by-step explanation: Since the word ratio is cm/km (centimeter/kilometer), and the number ratio is 2/5, you will have to create another set and put the 16 cm next to the 2 cm. So it would be 2/5=16/X. Now you have to find the value of x. First, you have to multiply 5 by 16, which is equal to 80. Now you divide it by 2 and you will get 40 kilometers as your final answer.

Answer:

1rst one is 3:2 the second one is 1:2 and third is 1:12 if i remember

Step-by-step explanation:

The total number of teams at the soccer tournament was 24.

The information about the number of teams and the shirts they wore at the soccer tournament.

To summarize:

12 teams wore red shirts

6 teams wore blue shirts

4 teams wore orange shirts

2 teams wore white shirts

To find the total number of teams,  add up the number of teams for each shirt color:

Total Teams = 12 (Red) + 6 (Blue) + 4 (Orange) + 2 (White) = 24 teams

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Answer:

yes, the 10 ft wave is an outlier

Step-by-step explanation: smarts

hope this helps :))

Answer:

the 10ft wave is the outlier

Step-by-step explanation:

hope this helps

Answer
Even

Step-by-step explanation:

I got the answer from my teacher.

Answer:

if m∠1 = 30° then m∠3 = 30° as they are parallel to each other and that is why they will have same angles.

therefore m∠3 = 30°

extra's:

→ m∠2 = m∠4 =

→ (360-30*20)/2

→ 150°

...............................

See here

m<1 and m<3 are opposite angles to eachother.

And we know that opposite angles are equal

so

Answer:

0

Step-by-step explanation:

3x+13=3(x+6)+1
Expand:

3x+13=3x+18+1
Simplify:

3x+13=3x+19
Subtract 13 from both sides:
3x+13-13=3x+19-13
Simplify:

3x=3x+6

Subtract 3x from both sides:
3x-3x=3x-3x+6

0=6

Since the sides are not equal there are no solutions to this problem

Answer:

305 cookies

Step-by-step explanation:

Well, we know that each cookie is $15.25( that is expensive!?) so we multiply it and get 305 (15.25 x 20)

YW!! Have a nice day!

Answer:

Answer 6.582

Step-by-step explanation:

   0 6. 5 8 2

1 5 9 8. 7 3 0

 − 0        

   9 8      

 − 9 0      

     8 7    

   − 7 5    

     1 2 3  

   − 1 2 0  

         3 0

       − 3 0

           0

Hope its understandable ._.

Answer:

3/4 • 10 = 30/4 = 7 2/4

Answer:

The true statements about the sample described in the scenario above are:

The sample should be larger to give more reliable information.

The sample size is too small to represent the population.

The sample size is too small and can lead to false inferences.

Step-by-step explanation:

The sampling technique employed is a systematic random sampling where samples are chosen at every specified interval. Hence, the sample is randomly selected.

Answer:

The second one between 2 and 3

Step-by-step explanation:

Sq root of 7 = 2.65

Answer:

2nd number line represents √7 best

Step-by-step explanation:

Method 1

√7 ≈ 2.65

Therefore, the 2nd number line represents √7 best

(the one with the dot between 2 and 3)

Method 2

√1 = 1

√4 = 2

√9 = 3

Therefore, as √7 is between √4 and √9, the solution is somewhere between 2 and 3.

Answer:

B

Step-by-step explanation:

This is a really simple topic. All you need to do when seeing these ordered pairs is see which has x-values that don't repeat. Over here, we can see that that is B, so B is the correct option.

Answer:

6.75 if exact 7 if rounding up

Step-by-step explanation:

1lb=300ft^2

45x45=2,025

2,025/300=6.75

Answer:

the first one

4a + 3a =7a

the second one

4a+4b

Answer:

1.  7a

2. 4a + 4b

Step-by-step explanation

1. (a x 4) = 4a

(a x 3) = 3a

4a + 3a = 7a

2. question 2 is correct

[tex] {73.33ft}^{3} [/tex]

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} [/tex]

[tex]\pi {r}^{2} = {22ft}^{2} [/tex]

[tex]v = 22 \times \frac{10}{3} [/tex]

[tex]v = 22 \times 3.33[/tex]

[tex]v = {73.33ft}^{3} [/tex]

Answer:

It means: 1/2+1/4 - 3/4+1/4

Answer: quadrilateral is inscribed in a circle , then supplementary . " its opposite angles are Given : Quadriateral ABCD is inscribed in OE Prove : ABC

Step-by-step explanation: