How many cubes are needed to fill the prism made by the net?

Ans57 , 58 , 59

Step-by-step explanation:

The perimeter of the cross section formed is 44.22 in.

The area of the cross section formed is 72.44 in.²

From the question, we are to determine the perimeter and area of the cross section formed by the cut

As indicated in the diagram,

If the wood is cut along the indicated diagonal, the cross section formed is a rectangle whose length will be the length of the diagonal and its width will be 4 in.

Now, we will calculate the length of the diagonal,

Let the diagonal be d

Then, we can write that

d² = 2² + 18²

d² = 4 + 324

d² = 328

d = 18.11 in.

Thus,

The length of the rectangular cross-section is 18.11 in.

Now, using the formula for calculating the perimeter of a rectangle

P = 2(l +w)

Where P is the perimeter

l is the length

and w is the width

For the rectangular cross-section

l = 18.11 in.

w = 4 in.

Putting the parameters into the formula,

P = 2(18.11 + 4)

P = 2(22.11)

P = 44.22 in.

∴ The perimeter of the cross section formed is 44.22 in.

For the area of the cross section

Using the formula for calculating the area of a rectangle,

A = l × w

∴ Area of the cross section formed = 18.11 × 4

Area of the cross section formed = 72.44 in.²

Hence, the area of the cross section formed is 72.44 in.²

Learn more on Calculating the area of a rectangle here: https://brainly.com/question/17297081

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Answer:

Length = 14 and width = 7 cm,

Step-by-step explanation:

Let the width be x cm then the length is 2x cm

2x + 2(2x) = 42

6x = 42

x = 7

Length = 14 and width = 7.

Answer:

32 possible outcomes

Step-by-step explanation:

4 × 2 × 4 = 32

Answer:

(b)the marble is odd-numbered.P(odd)=

Answer:

-35

Step-by-step explanation:

Answer:

54(16÷8)-10?????

Step-by-step explanation:

I'm bad at this

the answer is b

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

Price of senior citizen ticket = $7

Price of student ticket = $5

Step-by-step explanation:

Let:

Equations formed :

Subtract : Equation 1 - Equation 2

Finding b

Solution

Answer:

Senior tickets would be 7 dollars

and

Student ticket prices would be 5 dollars

Step-by-step explanation:

Answer:

[tex]\log_3(27)=x[/tex]

Step-by-step explanation:

[tex]a^x=b[/tex] is equivalent to [tex]\log_a(b)=x[/tex] in logarithmic form, so [tex]3^x=27[/tex] is equivalent to [tex]\log_3(27)=x[/tex]

Answer:

Step-by-step explanation:

Answer:

15037

Step-by-step explanation:

37 are in the covered, while 15000 were in the open area. So, to find the total, all we have to do is add these two figures together:

15000 + 37 = 15037

Hope this helps. Feel free to ask any more questions and I will try my best to help you.

- profparis

Answer:

15,037 spectators

Step-by-step explanation:

Total number of spectators :

⇒ Spectators in covered area + Spectators in the open

⇒ 15000 + 37

⇒ 15,037 spectators

Answer:

This might not be the best answer but here goes:

A perfect square has to be a number that is expressed by 2 of the same integer multiplied by each other.

To check if a number is a perfect square, you find the square root of it. 64006 does not have a whole square root, meaning it is not a perfect square number. Its square root is:

252.9940711... (very close but not quite whole)

1. A perfect square number always has its square root to be a whole number. But, the square root of 64006 is is 252.99407... (not whole), so it is not a perfect square.

2. A perfect square number can only be written as the product of 2 odd numbers or 2 even numbers. But, 64006 can be written as 32003 x 2 -> NOT a perfect square.

Answer:

Step-by-step explanation:

There is a constant of proportionality between the two purchases and each book costs $4.99.

A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.

In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.

In this case, the constant of proportionality [tex]k[/tex] will relate the number of books bought [tex]N[/tex] and their cost [tex]C[/tex] in the following way:

[tex]C=k*N[/tex]

So k is the price per book.

For the 12 books:

[tex]k=\frac{59.88}{12}[/tex]

[tex]k=4.99[/tex]

And for the 21 books:

[tex]k=\frac{104.79}{21}[/tex]

[tex]k=4.99[/tex]

The constant [tex]k[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.

The distance from B to B is 5.

This is because the distance between the original and new coordinates would remain the same. This is because it is done by translation and not because of the rotation. The distance between the two will still remain as 5.

Answer:

B:11 and 1/4

Step-by-step explanation:

to divide 15 by 1 1/3 i used the Keep, Change, Flip method aka-KCF

i kept 15 over 1 changed the division sign into a multiplication sign and flipped 1 1/3 which is 4/3 to its reciprocal 3/4.

which got me the answer 45/4 i simplified it into 11 and 1/4

Answer:

2x - 11, 2x + 11

Step-by-step explanation:

The length of each side must multiply together to get [tex]4x^2 - 121[/tex] so have to factorise to make 2x-11 and 2x +11.

Answer:

x = 26, y = 120

Step-by-step explanation:

First we will find x.

We know that 3x-18 = 2x+8 because they are corresponding angles

Now we can solve for x

3x-18 = 2x+8 | subtract 2x from both sides

x-18 = 8 | add 18 to both sides

x = 26

Now we can find y. We know that 3x-18 and y are supplementary (add up to 180) since they are a linear pair (adjacent angles that form a line)

This means we can solve for y using the following :

3x-18 + y = 180 | substitute x for 26

3(26)-18 + y = 180 | simplify

60 + y = 180 | subtract 60 from both sides to isolate y

y = 120

- Kan Academy Advance

Answer:

i believe the answer is 41312432

Answer:

C. 20

8 cycles for 1 inch, times 2 is 16, + 4 is 20

Answer:

last and third

Step-by-step explanation:

Answer:

Is 4

4

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Power in repeated multiplication form is : 4 x 4 x 4 x 4

Value of the power : 16 x 16 = 256

Answer:

21 m^2

Step-by-step explanation:

0.5 x 14 x 3

hope this helps

have a good day

Answer:

The answer is 21 m^2

cmiller did it first so giver her brainlliest if you were going to do it to me.

Answer:

Equation
5xP

graph:

for every 1 person Lets say its X for people
and then y for price

1,5

2,10

3,15

etc.

Answer:

2:292

Step-by-step explanation:

They sold 292 in total

290 were board games and the rest were cards

so,

292-290=2

2 card games

Answer: 2:292

Step-by-step explanation:

They sold 292 in total

290 were board games and the rest were cards

so,

292-290=2

2 card games

Answer:

Step-by-step explanation:  interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

yes it can have 160 degree as interior angel

Answer:

in the picture

Step-by-step explanation:

the sign you see at the corners with arrows (see drawing) indicate a right angle