A layered birthday cake has three rectangular prism layers. The base layer measures 16 inches by 12 inches. Each layer is two inches smaller in width and depth as the previous layer. All of the layers are 4 inches tall. What is the volume of the cake? *

20.

[tex] \sqrt{ {(0 - 4)}^{2} + {(4 - 7)}^{2} } = 5[/tex]

Answer:

answer in the screen shot provided

Answer:

vertex = (1, 2 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠  0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² - 2x + 3 ← is in standard form

with a = 1, b = - 2 , then

x = - [tex]\frac{-2}{2}[/tex] = 1

Substitute x = 1 into the equation for corresponding value of y

y = 1² - 2(1) + 3 = 1 - 2 + 3 = 2

vertex = (1, 2 )

Answer:

A hexagon has 6 internal angles, and the sum of the interior angles is 720°

If the hexagon is regular, so all the internal angles are equal, the measure of each internal angle is:

720°/6 = 120°

Ok, now let's look at the image.

We can "craft" a triangle rectangle. such that one cathetus is the line of 4ft that we can see in the image.

The hypotenuse is the line that connects the center, with the bottom right vertex.

Half of the bottom side is the other cathetus.

Because the hypotenuse divides the vertex in exactly two halves, the bottom right angle of the triangle rectangle will be 120°/2 = 60°.

So of this triangle rectangle, we know:

one angle equal to 60°

The opposite cathetus of this angle, which measures 4 ft.

Let's find the other cathetus of the rectangle:

We can use the identity:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

In this case, we have:

Tan(60°) = 4ft/x

The value of x is:

x = 4ft/Tan(60°) = 4ft/√3

Because Tan(60°) = √3

And we know that the area of a triangle rectangle is the product of the length of each cathetus divided by two.

Then the area of our triangle rectangle is:

A = (4ft*4ft/√3)/2 = (8/√3) ft^2

And there are 12 of these right triangles inside the hexagon

Area = 12* (8/√3) ft^2 = (96/√3) ft^2

And we can write:

96 = √(96*96) = √9216

Then:

Area = √(9216/3) ft^2 = √(3072) ft^2

Answer:

The answer is F) none of the above. The correct sales tax is $902.72

Step-by-step explanation:

Answer:

343 miles per hour.

Step-by-step explanation:

It is easy all you have to do is 7^3

I Hope This Helps You!!

Answer:

1742

Step-by-step explanation:

I am of the belief this is the right answer according to the arithmetic calculator.

9514 1404 393

Answer:

  £27.50

Step-by-step explanation:

The general approach is ...

1. The area to be painted will be the area of the four walls, less the area of the door (which is assumed to be a hole in the wall, so is not painted).

Each wall has the same dimensions, so the same area. The area of the rectangular wall is ...

  A = LW

  A = (3.5 m)(2.6 m) = 9.1 m²

The area of the door is ...

  A = (2.2 m)(0.8 m) = 1.76 m²

Then the area to be painted is the area of the 4 walls less the area of the door:

  painted area = 4(9.1 m²) -1.76 m² = 34.64 m²

__

2. Each 2 L tin of paint will cover (2 L)×(8 m²/L) = 16 m², so the number of tins needed is ...

  (34.64 m²)/(16 m²/tin) = 2.165 tins

We assume this means Aisha will need to purchase 3 tins, since she will need more paint than is provided by 2 tins.

__

3. Because of the price offer on the paint, Aisha will pay full price for the first two tins, half price for the 3rd tin. That is, she will pay 2 1/2 times the full price of a tin when she buys the 3 tins of paint she needs. Each tin costs £11, so Aisha will pay ...

  (2 1/2)(£11) = £27.50

Aisha will pay £27.50 for the paint to paint her living room.

Answer:

that I have a panda but the black on it and I have kiss me kiss me at

Answer:

47.88milliliters

Step-by-step explanation:

Given data

Total amount of the solution=  342 milliliters

14% is acid

Hence the amount of acid

=14/100* 342

=0.14* 342

=47.88milliliters

Therefore there are 47.88milliliters of acid

Answer:

3.60

Step-by-step explanation:

2% of 180 is 2*180/100

x=3.60

The volume of the given hexagonal prism is 187.2 cm³.

A hexagonal prism is a prism with a hexagonal base and top. It is a 3D shape and thus, is a polyhedron with 8 faces, 18 edges, and 12 vertices. As it has 8 faces, it is also called an octahedron.

Given that, a hexagonal prism we need to find the volume,

So, the volume = 3 apothem × base × height

= 3 × 3 × 8 × 2.6

= 187.2

Hence, the volume of the given hexagonal prism is 187.2 cm³.

Learn more about hexagonal prism click;

https://brainly.com/question/30686902

#SPJ2

Answer:

The other term is (x-3)

Step-by-step explanation:

The quadratic function is:

[tex]f(x)=-x^{2}+7x-12[/tex]

Factoring this function we will have:

[tex]f(x)=-(x-4)(x-3)[/tex]

Therefore, the other term is (x-3).

I hope it helps you!

Answer:

m∠R=74°        m∠Q=32°

Step-by-step explanation:

PQ=RQ

So ΔPQR is a isosceles triangle

So m∠R=m∠P=74°

m∠Q=180°-m∠R-m∠P=180°-74°-74°=32°

Answer:

B

Step-by-step explanation:

Answer:

The number is either 95 or 59

Step-by-step explanation:

The two digit number would be;

(10a + b)

The reversal will be (10b + a)

The sum of the two is 154

(10a + b ) + (10b + a) = 154

11a + 11b = 154

11(a + b) = 154

a + b = 14 ••••••••(i)

The difference between the two digits is 4

Let’s have this as;

a - b = 4 ••••(ii)

from ii;

a = 4 + b

Substitute this into equation i

4 + b + b = 14

2b = 14-4

2b = 10

b = 10/2

b = 5

Recall;

a = b + 4

a = 5 + 4

a = 9

So we have the number as 95 or 59

Answer:

half of 7.4 is 3.7 so the houses are 3.7 miles apart.

Answer:

A

Step-by-step explanation:

Given :

And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.

So that ,

[tex]:\implies[/tex] f(x) = y

[tex]:\implies[/tex] y = ³√[ x - 9 ]

[tex]:\implies[/tex] x = ³√[ y - 9 ]

[tex]:\implies[/tex] x³ = y - 9

[tex]:\implies[/tex] y = x³ + 9

[tex]:\implies[/tex] f-¹(x) = x³ + 9

Hence option A is correct .

Answer:

1/2

Step-by-step explanation:

3+3=6 and 3/6 is 1/2

Answer:

The answer is sqrt of 64

Step-by-step explanation:

Answer:

5898

Step-by-step explanation:

7,390 - 1,492 = 5898

Answer:

c

Step-by-step explanation:

Answer:

acute iscoceles

Step-by-step explanation:

cuz obtuse is 90 or more right is 90 acute is less than 90

Answer:

The slope is 1

Step-by-step explanation:

Have a good day :)

x = 6 and x = -2

Step-by-step explanation:

Put the 12 to the other side

x^2 - 4x - 12 = 0

Now factor this out:

(x - 6)(x + 2) = 0

Therefore, the roots of this equation are

x = 6 and x = -2