Hello !

Okay so what you do is add 10 to the other side

2k - 10 +10 = 6 + 10

You would get ....

2k = 16

Next you divide 16 by 2 which is 8

and that means 8 is equal to k

K = 8

7 0

3 years ago

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The net of a rectangular prism is shown below.

Mamont248 [21]

Answer:

Step-by-step explanation:

Using a net to find the surface area of a rectangular prism

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Surface Area of a Rectangular Prism using Nets

A rectangular prism or cuboid is formed by folding a net as shown −

Cuboid

We can see from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. The total surface area is then

2 × 3 × 6 + 2 × 2 × 6 + 2 × 2 × 3 = 72 cm2

Example 1:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism in Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 6 ; w = 5; h = 3

Step 2:

Surface area of given prism = 26×5+6×3+3×5

= 230+18+15

= 126 square cm

Example 2:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 5; w = 6; h = 4

Step 2:

Surface area of given prism = 25×6+5×4+6×4

= 230+20+24

= 148 square cm

6 0

3 years ago

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The area of this rectangle is 54 square inches. Create an equation to find the value of n. Length is 3(n-1) and the width is n+2

olasank [31]

Value of n is 4

The area of a rectangle is equal to the product of its length and width.

we know ,

the area of rectangle, multiply the length, , and the width, ,

and set the product equal to the area.

area of rectangle = length * width

54 = 3(n - 1) * (n + 2)

54 =( 3n - 3) * (n + 2)

multiply ( 3n - 3) with (n + 2)

we get,

54 = $3n^{2} + 6n - 3n -6$

54 = $3n^{2} + 3n -6$

54 = 3( $n^{2} + n -2$ )

$\frac{54}{3}$ = ( $n^{2} + n -2$ )

18 = ( $n^{2} + n - 2$ )

$n^{2} + n - 2$ - 18 = 0

$n^{2} + n - 20$ = 0

solve them

$n^{2} + 5n + 4n -20$ = 0

n (n + 5) - 4 (n + 5) = 0

(n + 5)(n -4)

then we get,

n = -5 , n = 4

value of n should not be negative . so value of n is 4

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area

Area of rectangle = Length x Breadth

A = lb

how to Factoring Quadratic Equation

Step 1: Consider the quadratic equation ax2 + b x + c = 0

Step 2: Now, find two numbers such that their product is equal to ac and sum equals to b.

(number 1)(number 2) = ac

(number 1) + (number 2) = b

Step 3: Substitute these two numbers in the formula given below:

(1/a) [a x + (number 1)] [a x + (number 2)] = 0

Step 4: Finally simplify the above equation.

learn more about area of rectangle here :brainly.com/question/35108030

SPJ9

8 0

2 years ago

given the information in the diagram, which thermo best justifies why lines j and k must be parallel?

Volgvan

B. Alternate exterior angles theorem

5 0

3 years ago