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mrs_skeptik [129]
3 years ago
12

Factor the quadratic expression as the product of two binomials x^2-3x-10

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0
X^2+2x-5x-10
x(x+2)-5(x+2)

(x-5)(x+2)
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Help please, im confused on what exactly y is
Amanda [17]

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3

Step-by-step explanation:

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BigorU [14]

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

<h3>What is a regular hexagon?</h3>

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

Learn more about hexagon;

brainly.com/question/16025389

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3 0
2 years ago
PLEASE HELP (20 POINTS)
Paul [167]

Answer:

option b

Step-by-step explanation:

you can't take out anything, not an x or a 2

6 0
2 years ago
Snap company issues 10% five year bonds on january 1 of this year, with a par value of 120,000 and semiannual interest payments
mezya [45]

Answer:

<h3>$189,292.92</h3>

Step-by-step explanation:

Using the compound interest formula to get the equivalent amount after 5 years;

A = P(1+r/n)^nt

P is the principal = 120,000

r is the rate = 10% = 0.1

t is the time = 5 years

n is the time of compounding = 1/2  = 0.5(semi annual interest)

Substitute into the formula;

A = 120,000(1+0.1/0.5)^(5)(0.5)

A = 120,000(1+0.2)^2.5

A = 120,000(1.2)^2.5

A = 120,000(1.5774)

A =  189,292.92

Hence the company issue is $189,292.92

4 0
3 years ago
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