what is the volume of the triangular prism below ​

Answer:

      1   5  10  10   5   1           Row 5

   1   6   15  20  15   6    1       Row 6

Recursive relationship:

Each row has number of positions = row number + 1. The Row 0 is always 1.

The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row.  The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.

Step-by-step explanation:

The pascal's triangle

* Row 0  =  1

* Row 1 = 1  1

                   1                          Row 0

                1    1                       Row 1

Since there are only two positions, the first and last are 1.

*Row 2 = 1  _ 1

                   1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.

* Row 3 = 1 _  _    1

                  1                          Row 0

                1    1                       Row 1

              1   2  1                    Row 2

            1   3   3  1                   Row 3

1 + 2 = 3  (the row number and the and adding the numbers from the previous row)

* Row 4 = 1 _  _    _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3  3  1                   Row 3

         1   4   6   4   1                Row 4

1 + 3 = 4  (the row number)

3 +3 = 6

* Row 5 = 1 _  _   _  _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6  4   1                Row 4

     1   5   10   10   5   1           Row 5

1 + 4 = 5

4 + 6 = 10

* Row 6 = 1  _  _ _  _  _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6   4   1                Row 4

     1   5   10 10  5   1           Row 5

   1   6   15  20  15   6   1        Row 6

1 + 5 = 6

5 + 10 = 15

10 + 10 = 20

Step-by-step explanation:

540 because it I think or 535 but I I think it's 540

Answer:

$49 is spended by him.

solution given:

rate=for $10.50 per half yard=$10.50/0.5=$21 per yard

area=2 1/3=7/3yards

now

total cost =rate× area =$21×7/3=$49

Answer:

7

Step-by-step explanation:

10-3=7

Answer:

40 meter (4000 centimeters)

Step-by-step explanation:

bro just do 4 x 10 = 40 x 100 = 4000

Give me Brainllest

Answer:

22 and -22

Step-by-step explanation:

Absolute value means the distance of a number from zero

Answer:

48

Step-by-step explanation:

Since there is an absolute value, the answer must be positive. Multiply 2 by 8 since two negatives equal a positive. So, |15-47 + 9 - 8 -17|. Then add and subtract to get the answer. -32 + 9 - 8 -17 = -48. |-48| = 48

Answer: 50

Step-by-step explanation:

Answer:

i think it's a

hope this helps :)

Answer:

6w-24

Step-by-step explanation:

You would distribute 6 into the parentheses, which would turn (w-4) to 6w-24

Answer:

(w - 4)6

Step-by-step explanation:

its the same exact thing but if you're looking for the simplified version then it's 6w-24

445 .                       Answer:

Step-by-step explanation:

Answer:

26 is 7.05% or 7.04% of 369.

Step-by-step explanation:

Now 7.04% of 369 is actually 25.9776.

and 7.04% is 26.01452.

But if you round both 25.9776 and 26.01452 you get 26

So, technically you are correct.

Hope this helps! :)

Answer:

72

Step-by-step explanation:

there is 180 degrees in a triangle

Answer:

2.36

Step-by-step explanation:

Multiply the radius (0.75) with the value of pi (3.14.....)

0.75 x pi = area

area = 2.35619449019

ROUNDED TO HUNDREDTHS = 2.36

hope this helps :)

Answer:

-5,-5

Step-by-step explanation:

m a  t  h  w  a  y  .  c  o  m

Answer:

[tex]y=2(x+6)^2+7[/tex]

[tex](-6,7)[/tex]

Step-by-step explanation:

[tex]y=2x^2+24x+79[/tex]

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

[tex]y=(2x^2+24x)+79[/tex]

Factor out the coefficient of the quadratic term,

[tex]y=2(x^2+12x)+79[/tex]

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

[tex]y=2(x^2+12x+36-36)+79[/tex]

Simplify,

[tex]y=2(x^2+12x+36)+79+(2)(-36)[/tex]

[tex]y=2(x+6)^2+79-72[/tex]

[tex]y=2(x+6)^2+7[/tex]

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

[tex](-6,7)[/tex]

Answer:

Fair well i hope you lived a good life

Step-by-step explanation:

Answer:

f(2h) = -4h + 9

Step-by-step explanation:

Jacob:  Start with the given function f(x) = -2x + 9 and replace 'x' with 2h:

f(x) = -2x + 9 becomes:

f(2h) = -2(2h) + 9, or

f(2h) = -4h + 9

Answer:

-4h + 9

Step-by-step explanation:

f(x) = -2x + 9

f(2h) = -2(2h) + 9

f(2h) = -4h + 9

Answer:4/8 or simplified answer 1/2

Step-by-step explanation:

3/4 + 3/8, first you have to find the highest common factor of 4 and 8.

The answer is 9. The denominator of both side will be 8. Now you ask yourself 4 times what gives you 8 and times the numerator by that number. And do the same for the 8.

6/8 + 3/8= 9/8

9/8 - 5/8= 4/8

The simplified answer is 1/2

Answer:

2 units

Step-by-step explanation:

Congruent triangles are those triangles, which have same shape & size (same side & angle size).

If  ΔEFG ≅ ΔXYZ. And, E (0, 0), F (0, 2), and G (3, 0)

So, length EF = length XY.

Length of E (0,0) & F (0,2) is 2 units

As triangles are congruent, EF = XY

Hence, measure of XY = 2 units

Answer:

2 units

Step-by-step explanation:

Answer: n=4

Step-by-step explanation:

Uh I did some trial and error and it came up with the right answer

SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150

Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side,  so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.

Answer:

1. x = 36 equation is x + 2x + 9 = 117, then solve for x

2. x = 50 equation is x + x + 12 = 112, then solve for x

Step-by-step explanation:

Answer:

a,d,e,f

Step-by-step explanation: