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3 years ago

jessica packed 1 inch cubes into a box with a volume of 144 cubic inches. how many layers of 1 inch cubes did jessica pack?

Mathematics

2 answers:

algol133 years ago

8 0

Answer:

Step-by-step explanation:

There are 144 cubes in total.

In the first layer are 9x4=36 cubes

So 144÷36= 4 layers this is the answer.

Dominik [7]3 years ago

5 0

Your answer is 1 layer

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What set of transitions are applied to parallelogram ABCD to create abcd?

Ronch [10]

Reflection, i am guessing

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3 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

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then the sequence solves the recurrence relation.

4 0

3 years ago

If the area around the vegetable garden is of uniform width (labeled with x) and the dimensions of the vegetable garden is 45 fe

Nady [450]

Area of Rectangle = Width × Length

Vegetable Garden
Width = 20
Length = 45
Area of Vegetable Garden = 20×45=900 Sq ft

Area of Entire Garden = Width × Length
Width = 20 + 2x
Length = 45 + 2x
Area = (20 + 2x)(45 + 2x)
(2x + 20)(2x + 45)
4x^2 + 90x + 45x + 900
Area of Entire Garden = 4x^2 + 135x + 900

Area of Flower Garden = Area of Entire Garden - Area of Vegetable Garden

(4x^2 + 135x + 900) - (20 × 45)
4x^2 + 135x + 900 - 900
Area of Flower Garden = 4x^2 + 135x

7 0

3 years ago

Help please !!!!!

tatuchka [14]

*triple phytagoras*
first triangle h = second triangle h = 24 in

x = 7 (triple phytagoras)

6 0

3 years ago

Find the value of x 12x 6x+28 Your answer

Irina18 [472]

Step-by-step explanation:

Hey there!

By looking at the figure, the given "2x" and "6x + 28" are co-interior angle.

So,

2x + 6x + 28 = 180°. ( sum of co-interior angle is 180°)

8x + 28°=180°

8x = 180° - 28°

8x = 152°

$x = \frac{152}{8}$

X = 19°

Therefore, X = 19°.

Hope it helps...

3 0

3 years ago

Read 2 more answers