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2 years ago

Find the surface area of each prism 2cm 8cm 8cm

Mathematics

1 answer:

sergey [27]2 years ago

4 0

Answer:

128 square cm

Step-by-step explanation:

2 x 8 x 8 x = 128 cm

Hope this Helps

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Select the correct answer

Paladinen [302]

Answer:

a) We get $\mathbf{A+B=x^2-2x+1}$

So, Is the result of A+B is a polynomial:Yes

b) We get $\mathbf{A-B=6x^3-7x^2+2x-1}$

So, Is the result of A-B is a polynomial:Yes

c) We get $\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}$

So, Is the result of A.B is a polynomial:Yes

Step-by-step explanation:

We are giving the polynomial equations:

$A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1$

We need to find

a) A+B

$A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\$

So, we get $\mathbf{A+B=x^2-2x+1}$

So, Is the result of A+B is a polynomial:Yes

b) A-B

$A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\$

So, we get $\mathbf{A-B=6x^3-7x^2+2x-1}$

So, Is the result of A-B is a polynomial:Yes

c) A . B

$A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2$

So, we get $\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}$

So, Is the result of A.B is a polynomial:Yes

7 0

2 years ago

Find the discount if a $69.99 item is on sale for $39.99.

inn [45]

The easiest way to do it (for me) is to find 1% of the regular price. I think we can round the prices to $70,00 and $40,00 to show nice percentage.

70 / 100 = 0,7

So 1% is 0,7. Now we can divide $40,00 by 0,7 to calculate how many percent it is:

40 / 0,7 = 57 (after rounding it to the nearest whole number)

So the discount was 100 - 57 = 43 percent.

Doublecheck (optional):

70 * 57% =
= 70 * 57/100 =
= 7 * 57/10 =
= 7 * 5 7,10 =
= 7 * 5,7 =
= 39,9 (the price after the discount)

70 * 43% =
= 70 * 43/100 =
= 7 * 43/10 =
= 7 * 4 3/10 =
= 7 * 4,3 =
= 30,1 (the value of the discount)

The difference of 0,1 is because of the rounding, but it's correct.

8 0

3 years ago

Draw your own rectangle, with an area of 24 square units, on the coordinate plane. Then, identify the vertices of your rectangle

Gnoma [55]

Answer:

First you should remember that the formula for calculating area of a rectangle is;

Area=Length × width

You can decide to have a rectangle with different dimensions provided the area is 24 square unit

For this case, lets choose a rectangle with vertices at (1,0), (7,0),(1,4), (7,4)

After plotting these coordinates, you will notice your rectangle has a length of 6 units and a width of 4 units

A single unit is 1 square unit.When you Count the number of units inside the rectangle formed you realize you have 24 units covered inside

The area of the 24 units will be;