GEOMETRY Holly can make an open-topped box out of a square piece of cardboard by cutting 3-inch squares from the corners and folding up the sides to meet. The volume of the resulting box is V = 3x^ 2 – 36x + 108, where x is the original length and width of the cardboard.
Factor the polynomial expression from the volume equation.

HINT: look for a GCF first!

Answer:

Number 1: -8.7. Number 2: -2

Step-by-step explanation:

To find the first one, subtract 11 from 2.3.

2.3-11= -8.7 , so that's the answer for the first one.

To find the answer to the second one, just do -4+-2=-2, so that's the answer for the second one.

Answer:

A and E

Step-by-step explanation:

The perimeter is the length of the edge of the overall shape. In this case, the edge includes the length of the curved section of both semicircles (since semicircles are the same size, we can just find the circumference for a circle with the same radius), plus four side lengths of the square.

The radius is 10 (Two squares line up exactly with the semi-circles).

Circumference: 2πr=2π10=20π

Perimeter =20π+4(10)=40+20π

A

40+20π=40+20π? YES

B

40+20π=80+20π? NO

C

40+20π=120+30π? NO

D

40+20π=300+100π? NO

E

40+20π=10+10+10π+10+10+10π? YES

Answer:

6

Step-by-step explanation:

because 3 pieces

divided by 2 because there half pieces.

Answer:

-2<x<3

Step-by-step explanation:

Answer:

For 10 visits, both gyms charge the same

Step-by-step explanation:

Equations

Gym memberships' costs are:

G1 = 100 + 2x

G2 = 12x

Where x is the number of visits to the gym.

We need to find the number of visits for which the charges for both gyms are the same. Thus equating the costs:

12x = 100 + 2x

Subtracting 2x:

10x = 100

Dividing by 10:

x =10

For 10 visits, both gyms charge the same

9514 1404 393

Answer:

  8) ΔCAB ~ ΔFDE; SSS

  9) ΔMNQ ~ ΔPNO; SAS

  10) ΔDBE ~ ΔABC; SAS

Step-by-step explanation:

8) The side ratios, shortest to longest, are ...

  6 : 8 : 10 = 9 : 12 : 15 = 3 : 4 : 5

so are the same for both triangles. Triangles CAB and FDE are similar by SSS.

__

9) MN/NQ = PN/NO = 6/5 = 12/10. The vertical angles between these corresponding sides are congruent. Triangles MNQ and PNO are similar by SAS.

__

10)  BD/BA = BE/BC = 21/28 = 24/32 = 3/4. The shared angle between the corresponding sides is congruent to itself. Triangles DBE and ABC are similar by SAS.

Answer:

3.13

Step-by-step explanation:

Answer:

A= 81πm² or 254.47 m²

Step-by-step explanation:

Area = π x r²

π x 9m² (9x9)

i'm not 100% sure this is correct so i'm sorry if it is wrong

From corresponding angles theorem, we can see the 2 angles are equal.

16x+13=18x-1

2x=14

x=7

Done!

Any questions just leave them in the comments and I will answer.

Answer:

Step-by-step explanation:

i think you do 34x + 12

bc it is a same side interior angle and i think that equals 180 and then you

34x+12=180

      -12  - 12

34x=       168

------          ------

34              34

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

i.dk i think it is 5 bc you get 4.98 so you round the 8 and it makes it a 4.10 which is 5

Answer:

x= -3

Step-by-step explanation:

Answer:

x = -3 hope this help  

Answer:

Step-by-step explanation:

Second box

Answer:

it is actually the first box

Step-by-step explanation:

Answer:

64 units2

Step-by-step explanation:

16 x 8 / 2 =

128 / 2 =

64

Hope that helps!

Answer:

(5, 1 )

Step-by-step explanation:

Given the 2 equations

3y - 2x = - 7 → (1)

5x + 3y = 28 → (2)

Rearrange (1) expressing 3y in terms of x by adding 2x to both sides

3y = - 7 + 2x

Substitute 3y = - 7 + 2x into (2)

5x - 7 + 2x = 28

7x - 7 = 28 ( add 7 to both sides )

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5(5) + 3y = 28

25 + 3y = 28 ( subtract 25 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (5, 1 )

Answer:

-(3y-2x= -7)

3y+5x= 28

-3y+2x= 7

3y+5x= 28

7x=35

7x/7= 35/7

x=5

5(5)+3y= 28

25+3y=28

3y= 28-25

3y=3

3y/3=3/3

y= 1

3y-2x= -7

3(1) -2x= -7

3-2x= -7

-2x= -7-3

-2x= -10

-2x/-2=-10/-2

x= 5

chekin

5x+3y=28

5(5)+3(1)=28

25+3=28

28=28

Answer:

x = - 6    

Step-by-step explanation:

Equation

1/3 * (-9x +12) = 22                Multiply both sides by 3

Solution

3 * 1/3(-9x + 12) = 22*3

- 9x + 12 = 66                        Subtract 12 from both sides.

-9x = 66 - 12                         Combine

-9x = 54                                Divide by -9

x = 54/-9

x = - 6

Answer:

10

Step-by-step explanation:

As I understand it, we are asking for 3/5 = 6/x, what is x?

You cross-multiplythe numerators and denominators.

3x = 30

x = 10

And 3 is to 5 as 6 is to 10.

In each case, the fraction = 0.6

The fourth proportion of 3: 5:: 6:__ is 10.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

Given, the proportional of 3: 5:: 6: ___  To find the fourth proportional

Let x be the fourth proportional.

Thus,

[tex]\frac{3}{5} = \frac{6}{x}[/tex]

x = (5*6)/3

x = 5*2 = 10

therefore, The fourth proportion of the given data is 10

Learn more about proportionality here:

https://brainly.com/question/29126727

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Correct question:

Find The fourth proportion of 3: 5:: 6:__

Answer:

140°

Step-by-step explanation:

Three angle are labeled below the acre. The smallest angle is 3/8 as large as the 160 angle. Find the value of angle a

The value of the smallest angle is given as:

= 3/8 of the 160 angle

=3/8 × 160°

= 60°

The sum of the total angle = 360°

Hence:

360° = 60° + 160° + a

a = 360° - (60° + 160°)

a = 360° - 220°

a = 140°

Therefore, a = 140°

Answer:

(b) 217 cm

Step-by-step explanation:

The computation of the number of centimeters will each have is shown below:

= Length of the string ÷ number of pieces

= 10.85 meters ÷ 5

= 2.17 meters

= 217 centimeters

hence, the correct option is b.

Answer:

2.2 MB the side of the nigh

Answer:

each bag weights 1,500 grams

Step-by-step explanation:

there are 1000 grams in a kilogram

6 times 1000 is 6000

6000 divided by 4 is 1500

Answer:

1.5 i think

Step-by-step explanation:

6/4

Answer:

b = 24

explanation:

you use the Pythagorean theorem.

a^2 + b^2 =c^2

so we do 32^2 + x^2 = 40^2 then solve

32 squared is 1024 and 40 square is 1600 so you minus the 2 and get 576 then you square root 576 and you finally answer is 24

Answer:

An event with a probability of zero [P(E) = 0] will never occur (an impossible event). An event with a probability of one [P(E) = 1] means the event must occur (a certain event).

Hope it helps!!

Answer:

answer is 0

..................3rd option

Answer:

x=1,y=-1

x3+y3=(1)3+(-1)3=1-1=0

so, answer is (c) 0

Answer:

The number 4129 is in the sequence calculate the number which comes immediately before 4129 in the sequence

Step-by-step explanation:

please tell me on this question

Answer:

76

Step-by-step explanation:

khan x math

Answer:

46 unit^2

Step-by-step explanation:

Total surface area=2.5*4*2+2*2.5*2+2*4*2=46

Answer:

Step-by-step Here is the answer I just did it and answer is 90 degrees

Pls mark me brainlyis would like if yo do that :)

I got it wrong just for enjoy

if square ABCD were Rotated 90 clockwise about the origin to create square A’B’C’D. The measure of angle B  is: D. 90.

Given

ABCD=90 Clockwise

Hence:

Rotation will not change the size and figure

Square ABCD≅ Square  A’B’C’D

m∠B=90°

So,

m∠B'=m∠B=90°

Therefore the correct option is D.

Learn more about measure of angle here:https://brainly.com/question/25716982

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Answer:

3 and 7

Step-by-step explanation:

because 7 + 3= 10 and 7 x 3= 21

most likey your answers are x=3 and y=7 OR x=7 and y=3