What are the two requirements that make a Polygon?

The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.

The area after the dilation.

Dilated area = (Dilation)² x base area

Dilated area = 32² x 3

Dilated area = 3072 m²

The height after the dilation.

Dilated area = Dilation x base area

Dilated area = 32 x 4

Dilated area = 128 m

The volume of the dilated prism.

Volume = 3072 x 128

Volume = 393216 m³

The volume of the dilated prism is 393,216 m³.

More about the dilation link is given below.

https://brainly.com/question/8652140

Answer:

40.5

Step-by-step explanation:

The person who commented on the first answer is correct. I took the quiz.

:)

Answer:

You need to find the area of this shape. You will split the shape into 2 the big rectangle and the small one sticking out of the bottom.

For the first shape, it is 11 x 3 = 33

For the second one, it is 2 x 3 = 6

33 + 6 is 39, so the area is 39

Answer: 2100

Step-by-step explanation:

Portional

Answer:

2099.88 Rounded: 2100

Step-by-step explanation:

100/17 = 5.88

337 X 5.88 = 2099.88

Rounded: 2100

Have a good day!

Answer:

A=0.61:1 B=0.65

Step-by-step explanation:

B is the better deal.

Solution:

Combine like terms and solve the expression.

The solution to the problem is 14x.

Answer:

14x

Step-by-step explanation:

5x + 2x + 7x ← factor out x from each term

= x(5 + 2 + 7)

= 14x

Answer:

27

Step-by-step explanation:

Answer: 60 degrees

Step-by-step explanation:

Angle sum of a triangle: 180 degrees

70+50=120

180-120=60

Straight line: 180 degrees

180-60=60 degrees

Answer:

120

Step-by-step explanation:

Add all the inner angles, 70+50=120. 180-120 = 60. The angle is a supplementary angle, so 180-60 = 120.

Answer:

D) 53°

Step-by-step explanation:

Angles AEB and BEC are supplementary.

Step 1: Subtract 127 from both sides.

Therefore, the answer is 53°.[tex]x+127-127=180-127[/tex]

Answer:

y is 90 and x is 180

Step-by-step explanation:

hope this helps srry if its wrong ;-;

Answer:

The answer is 9

Step-by-step explanation:

I hope you have a better day! ;)

Answer:

9

Step-by-step explanation:

Because 3^2 is 3*3

that gives you 9

Perimeter of a rectangle:

2(2x+7+x-5)=2(3x+2)=6x+4

Perimeter of a triangle:

x+2x+2x+11 = 5x+11

6x+4=5x+11

x=7

1. Observe the problem

2. Make a system of linear equations

x is pens

y is pencil

As stated in the text, x=2y

x=2y

7x+12y=6.50

Using substitution,

7(2y)+12y=6.50

14y+12y=6.50

26y=6.50

y=0.25

Substituting it back into the first equation:

x=2(0.25)

Answer: 1545

Step-by-step explanation: not 100 but i hope this helps you :D

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

.36 = .6^2

.16  = .4^2

.81  = .9^2

.64 = .8^2

Answer:

6 4/9

Step-by-step explanation:

Answer:

6 4/9

Step-by-step explanation:

i hope this help have a nice day

Answer:

112%

Step-by-step explanation:

percentage change value formula

c2 =  X2  -  X 1       X   100

             X1                   1

WHERE,

C2 = RELATIVE VALUE

X2  = FINAL VALUE  ( TODAY'S VALUE)  = 32,860

X1 = INITIAL VALUE  (1992 VALUE) = 15,500

PERCENTAGE CHANGE = 100

C2 =   32860  -   15500   X   100

                 15500                    1

=    17, 360       X 100

     15,500                 = 1.12 X 100 = 112%.

Hey there!

2^5 /6^5

2^5

= 2 * 2 * 2 * 2 * 2

= 4 * 4 * 2

= 16 * 2

= 32

6^5

= 6 * 6 * 6 * 6 * 6

= 36 * 36 * 6

= 1,296 * 6

= 7,776

= 32 / 7,776

= 32 ÷ 32 / 7,776 ÷ 32

= 1 / 243

≈ 2^5 × 6^-5

Therefore, your answer is: 2^5 × 6^-5

(Option D.)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

y=x+2

y=x+4

slope intercept form is y=mx+b

Answer:

  D. 8-cm square

Step-by-step explanation:

The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...

  289 -225 = 64

Its side dimensions will be √64 = 8 cm.

The diagram is correctly completed by the 8 cm square.

To fill the table for the function we consider all values of x subbed in to the equation

y = 25 – 4x

Generally, To fill a graph table with an equation we are usually give the independent factor in this case is the values of x

Therefore, to fill the table for the function we consider all values of x subbed in to the equation

y = 25 – 4x

For more information on  Graph

https://brainly.com/question/14375099

The exponential function is given by y = 0.9(1.082)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the fish weights at x inches.

Using point (4, 1.24):

1.24 = ab⁴   (1)

Using point (10, 1.99):

1.99 = ab¹⁰  (2)

From equation 1 and 2:

b = 1.082, a = 0.9

The exponential function is given by y = 0.9(1.082)ˣ

Find out more on Exponential function at: https://brainly.com/question/12940982

Answer:

Total coins are in his collection is 35 coins

Step-by-step explanation:

In his box = 7 coins

7 coins is 20% of the collection.

Total Coins :

7 ÷ 20%

[tex] \tt7 \div \frac{20}{100} [/tex]

[tex] \tt{7 \times \frac{100}{20} }[/tex]

[tex] \tt{7 \times 5}[/tex]

35 coins

Proof :

35 × 20%

35 × 1/5

35 ÷ 5

7

The compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

A number has both magnitude(its absolute value) and its sign(positive or negative).

If numbers are negative, the more their magnitude increases, the lesser they become.

If numbers are positive, the more their magnitude increases, the greater they become.

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

|x| = magnitude of x.

Thus, |3x-5| > 10 is true if (3x-5)  < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)

or (3x-5) > 10

(in case if (3x-5) is non-negative).

Thus, the compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

Learn more about compound inequalities here:

https://brainly.com/question/4688732

Answer:

it’s C trust me

Step-by-step explanation:

The percentage of more juices that will be in the new package is 35.71%

Word problems in mathematics are things happening in our daily life and we can use mathematical concepts and arithmetic operations to put a solution to those things.

From the given information, it was stated that:

Our objective is to find the percentage of more juice that will be in the new package.

The percentage of more juice in the new package will be:

[tex]\mathbf{=\dfrac{14 - 9}{14} \times 100 \%}[/tex]

[tex]\mathbf{=\dfrac{5}{14} \times 100 \%}[/tex]

= 35.71%

Learn more about word problems here:

https://brainly.com/question/21405634

Answer:

Rs. 612,480

Step-by-step explanation:

Hi there,

Here the question asks us to find the cost of leveling a badminton court at the rate of Rs.80 per sq..

So by the word leveling we know that we have to find the area of the court in order to proceed further.

(I am assuming the court to be rectangular in shape).

Area of a rectangle = Length * Breadth

*Length = 132 meters

*Breadth = 58 meters

==> 132*58= 7656 m^2

So now that we got the area of the badminton court lets find the cost of leveling it ==>

Cost of leveling per meter^2 = Rs. 80

Area = 7656 m^2

==> 7656 * 80 = 612,480

So the cost would be Rs. 612,480

If you found this answer helpful please mark me as brainliest.