A pencil box is in the shape of a right rectangular prism and filled with unit cubes as shown below. Each unit cube has a length of 1 centimeter (cm). What is the volume of the pencil box?

A - 20 square centimeters


B - 36 cubic centimeters


C - 240 square centimeters


D - 480 cubic centimeters

Step-by-step explanation:

Dimensions of cube = 1 in × 1in .

No. of cubes in each layer = 15 .

No. of layers = 2 .

• Therefore the volume of one cube :-

[tex]\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}[/tex]

• Therefore the volume of one layer :-

[tex]\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3} [/tex]

• Therefore the volume of whole box :-

[tex]\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3} [/tex]

Therefore our required answer is 30 inch ³.

15x2=30 polegadas

bhyrhyhybtrhthvtt

Answer:

The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

a40 = 10

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of a sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

1/4,1/2

This means that:

[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]

1/4

This means that [tex]a_1 = \frac{1}{4}[/tex]

The nth term is:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

Then find a40.

[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]

So

a40 = 10

Answer:

2 1/2

Step-by-step explanation:

i used the  lwh for this/ (length) (width) (height)

Branliest will be appreciated and thanks!

Answer:

D) r=5

Step-by-step explanation:

Any triangle formed with one side of the triangle being the diameter of the circle it’s inscribed in will be a right triangle.

6²+8²=c²

36+64=c²

100=c²

√100=c

c=10

So the diameter is 10.  That makes the radius 5.

Answer:

$0.71

Step-by-step explanation:

Find the cost with sales tax

9.99(1.03)

= 10.29

Subtract this from 11

11 - 10.29

= 0.71

So, Bianca will get $0.71 back in change

Answer: 0.71 cents

Step-by-step explanation:

9.99x0.03=0.2997

9.99+0.2997=10.2897 rounds to 10.29

11-10.29=0.71

Answer:

A) 16

Step-by-step explanation:

1st sequence: 72-8x

2nd sequence: 58-6x

Set both sequences equal to each other and solve for x:

72-8x=58-6x

14-8x=-6x

14=2x

7=x

x=7

Plug x=7 back into the equation:

72-8(7)=58-6(7)

72-56=58-42

16=16

So the first number that appears in both sequences is 16.

Answer:

Angle of Regular polygon = 166.15° (Approx.)

Step-by-step explanation:

Given:

Regular polygon with 26 sides

Find:

Measure of each angle of Regular polygon

Computation:

Angle of Regular polygon = [(n-2)180] / n

where n = number of sides

Angle of Regular polygon = [(26-2)180] / 26

Angle of Regular polygon = [(24)180] / 26

Angle of Regular polygon = [4,320] / 26

Angle of Regular polygon = 166.15° (Approx.)

Answer:

rectangular pyramid

Step-by-step explanation:

just took the test

The figure can be made using the net shown is a rectangular pyramid.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base.

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

Pyramids and prisms are both three-dimensional solids with flat faces and bases.

Yet, a pyramid only has one base, whereas a prism has two bases that are identical.

Here, the base is rectangular then the figure shows A rectangular pyramid.

Learn more about Prism and Pyramid here:

https://brainly.com/question/1558408

#SPJ5

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

Answer:

C.

Step-by-step explanation:

360/3 = 120

Answer:

b

Step-by-step explanation:

Answer:

i would say A

Step-by-step explanation:

cause it looks like its only slitly rotated

Answer:

26 degrees :)

Step-by-step explanation:

Answer:

I think the answer is 11i

there is the correct answer.

so the selling price is pretty much the cost price + the profit

so its

selling price = cost price + profit

Answer:

87.5%

Step-by-step explanation:

Took the k12 math test

A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate of 87.5% the account has $1850.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest = P(1+r/n)^rt

A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate the account has $1850.

Compound Interest = P(1+r/n)^rt

[tex]\rm 1850 = 231 25 (1 + r/12)^{96}[/tex]

[tex]\rm 1850 = 231 25 (1 + r/12)^{96}\\\rm 1850 /231 25 = (1 + r/12)^{96}[/tex]

r = 87.5%

Thus, the interest rate percentage is 0.87 rate per year.

Learn more about interest;

https://brainly.com/question/4128149

Answer:

cos (x)

Step-by-step explanation:

Answer:

Just isolate the variable by performing inverse operations. Its like solving an equation but the sign is different.

Step-by-step explanation:

Well add 4 to both sides

8≤n

Thats basically it

Answer:

n ≥ 8

Step-by-step explanation:

We want to isolate n to solve the inequality. To do that, you add 4 to both sides, so 4 + 4 = 8 on the left and n - 4 + 4 = n on the right. That leaves you with 8 ≤ n, or n ≥ 8.

Answer:

gohdsyuufdyiikkjhfddyiooufddtuiokhfd

Answer:

forgot to add a pic

Step-by-step explanation:

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]

Answer:

The shorter base is 3

Step-by-step explanation:

[tex]a = \frac{(b1 + b2)}{2} \times h[/tex]

[tex]52 = \frac{(10 + b2)}{2} \times 8[/tex]

[tex]b2 = 3[/tex]

Answer:

Step-by-step explanation:

Answer:

this is the answer hope it helps

Answer:

w>-12

Step-by-step explanation:

6>w/-2 (Given)

6>-w/2 (Rewrite)

12>-w (Multiply both sides by 2)

-12<w (Remember to flip the sign when dividing or mulitplying by a negative)

w>-12 (Rewrite with w in front)

Therefore, w>-12 is the solution to the inequality.

Answer:

w>-12

Step-by-step explanation:

First, you you need to get rid of the -2 in w/-2 by multiplying -2 by both sides like this.

(-2)6>w/-2(-2)

Then you simplify it like this:

-12>w

However, since you multiplied/divided with a negative, you switch the inequality sign like this:

w>-12

And that's the answer!

Answer:

zxcfghg

Step-by-step explanation:

xsdfghj

Answer:

63/328

Step-by-step explanation:

Answer:

1/4 or 25%

Step-by-step explanation:

The probability for rolling an odd number is 50% or  [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]

The probability for rolling two odd numbers in a row is

[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]

So, the probability of rolling an odd number twice is 25% or  [tex]\frac{1}{4}[/tex].

Answer:

Step-by-step explanation:

273m