How do you write 0.326 and 0.924 in word form?

Answer: 29

Step-by-step explanation:

Answer: 29

Step-by-step explanation:

5m-6

5(7)-6

35-6

29

Answer: (-4+ 4√7)/6

Step-by-step explanation:

3x^2+4x-8 =0

Using formula method

-b+

Answer:

x = (-2 ± 2√7) / 3

Step-by-step explanation:

x = [ -b ± √(b² − 4ac) ] / 2a

Here, a = 3, b = 4, and c = -8.

x = [ -4 ± √(4² − 4(3)(-8)) ] / 2(3)

x = [ -4 ± √(16 + 96) ] / 6

x = (-4 ± √112) / 6

x = (-4 ± 4√7) / 6

x = (-2 ± 2√7) / 3

Answer:

Therefore, area of the pond is 48 feet².

Step-by-step explanation:

Since perimeter of a rectangle is represented by 2(length + width)

It has been given in the question perimeter = 28 feet and width = 6 feet.

So perimeter = 2 (l + w )

           28 = 2 ( l + 6 )

          14 = ( l + 6)

           l = 14 - 6 = 8 feet

Now area of the pond = area of rectangle = Length × width

                                     = 6 × 8

                                    =  48 feet²

Therefore, area of the pond is 48 feet².

Answer:

The best option is;

A triangle with three equal sides all longer than 12 inches

Step-by-step explanation:

The cross sectional area of the square prism that passes through points A, B and C is found as follows;

Shape of cross section ABC = Triangle

Base, AB of the triangle is given by;

AB = √(8² + 8²) = √128 = 8·√2

Side, AC of the triangle is given by AC = √(8² + 12²) = 4√13

Therefore, the height of the triangle is given as follows;

Height, h = √(4·√13)²-(4·√2)² = 4·√11

The area of the cross section then is 0.5 × Base × Height

= 0.5 × 8·√2 × 4·√11  = 16·√22

A triangle with 3 equal sides of 8 inches has an area of 4×8×sin(60) = 16√3

A triangle with 2 equal sides of 12 inches and one side of 8 inches has an area of 4×12×sin(60) = 24√3

Therefore since 16·√22 > 24√3 >  16√3, the best option is a triangle with three equal sides of   all longer than 12 inches.