A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 412cm.

The prism is filled with cubes that have edge lengths of 12 cm.



How many cubes are needed to fill the rectangular prism?

Enter your answer in the box.

To fill the rectangular prism, _ cubes are needed.

Answer:

im not real sure but i wish i could help

Step-by-step explanation:

Answer:

45

scalene

acute

Step-by-step explanation:

Answer: The triangle classified by the sides is 59 degrees.  The triangle is classified by the angel is 1

Step-by-step explanation:

The mean is 14.7, the median is 16, and the mode is 16.

To find the mean, we need to calculate the sum of all the data values and divide it by the total number of observations.

The sum of the data values is:

14 x 14 + 15 x 11 + 16 x 23 + 17 x 10 + 18 x 13 = 196 + 165 + 368 + 170 + 234 = 1043

The number of observations is:

14 + 11 + 23 + 10 + 13 = 71

The mean is calculated as follows,

1043 / 71 = 14.7 (rounded to one decimal place)

The median is the central value in the data collection. To find the median, we need to arrange the data values in ascending order and find the middle value. In this case, we have an odd number of observations, so the median is simply the middle value.

14, 14, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 18, 18, 18

The median is 16.

The mode is the value that appears most repeatedly in the data set. In this case, the mode is 16 since it occurs the most (23 times).

To know more about data values, here

https://brainly.com/question/16151153

#SPJ4

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

Answer:

52,047.96

Step-by-step explanation:

Answer:

x>_-1

Step-by-step explanation:

x is such that x is greater or equal to -1

In exercise 1:

Situation: The account holder saves $30 each month

The first three terms of the sequence are: $120, $150, $180.

In exercise 2:

Situation: The account earns 25% interest each month.

The first three terms of the sequence are: $120, $150, $187.50.

A sequence in mathematics is described as an enumerated collection of objects in which repetitions are allowed and order matters.

Explaining  exercise 1:

In this exercise, the account balance for each month should form an arithmetic sequence with a common difference of $30

February 1 balance: $150

March 1 balance: $180

Hence, we have the first three terms of the sequence as:  $120, $150, $180.

Explaining exercise 2:

In this exercise, the account balance for each month should form a geometric sequence with a common ratio of 1.25.

The account earns 25% interest each month is the situation here.

February 1 balance: $150

March 1 balance: $187.50

The first three terms of the sequence are: $120, $150, $187.50.

Learn more about geometric sequence at: https://brainly.com/question/28188245

#SPJ1

Answer: A. 5^8/9^8

Step-by-step explanation:

This is equal to the fraction because when you raise a fraction to a power, you are multiplying the numerator and denominator by the same number, which is the power. Therefore, (5/9)^8 is equal to 5^8/9^8.

Answer:

answer b they both equal 0.009074442627

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

See below

Step-by-step explanation:

Rate = 20 sheets  / 14 seconds =   10/7  sheet / sec

every 200 sheets is 4 rest periods =  12 minutes

1000 sheets / (10/7 sheet/ sec)  +       12 min

  700 seconds + 12 minutes

   = 700 seconds + 720 seconds = 1420 seconds = 23 min 40 sec

Answer:

Area =312cm²

Step-by-step explanation:

since two rectangle are joined together you will find each area of the diagram and finally you add the two rectangle.

so the value for A1

A1 × Length × width.

A1 =16 ×17

A1 =272cm²

the value for A2

A2 Length × width

A2 = 14 × 3

A2 =42cm²

The area of the diagram

=A1 + A2

=272 + 42

=312cm².

The total area of the given figure is 468 cm².

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

From the given figure,

Larger rectangle has length=30 cm and width=14 cm.

Smaller rectangle has length=16 cm and width=3 cm.

We know that, the area of a rectangle is Length×Width

Area of Larger rectangle is

30×14 = 420 cm²

Area of Smaller rectangle is

16×3 = 48 cm²

Total area = 420+48 =468 cm²

Therefore, the total area is 468 cm².

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ1

The value of the inverse of the equation is this: x³ -3 = y

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

Learn more about the inverse of an equation here:

https://brainly.com/question/3831584

#SPJ1

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

learn more on angles here: brainly.com/question/18854964

#SPJ1

The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

Learn more about bisecting of angles on https://brainly.com/question/23984603

#SPJ1

8 feet is the distance between the ground and the top of the ladder

Given the following sides

length of ladder = hyp = 10foot

Distance from ladder to the base = adjacent  = 6 feet

Substitute the given parameters into the formula to have:

10² = opp² + 6²

opp²=100 - 36

opp² = 64

Take square root on both sides

opp = 8 feet

Hence, 8 feet is the distance between the ground and the top of the ladder

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

To know more about probability follow

https://brainly.com/question/27077702

#SPJ1

Answer:

Step-by-step explanation:

I'd suggest a bar graph. Some may suggest a pie chart, but it can be visually difficult to quickly tell the difference in sizes between slices of the pie in pie charts when there are a lot of options. With a bar graph, it is usually very easy to see which bar is the tallest.  

The true statement about the system of equations is the fourth one:

"(8, 2) is a solution to one equation but not the other one, so it is not a solution to the system."

The system of equations is:

x - 3y = 2

y = x + 6

We want to see which statement is true, all of them refer to the point (8, 2), so let's see if it is a solution of the system.

Replacing the values in the first equation we will get:

8 - 3*2 = 2

8 - 6  =2

2 = 2

For the second equation:

2 =8 + 6

2 = 14

This is false, so (8, 2) is not a solution of the second equation.

Then the true statement is:

" (8, 2) is a solution to one equation but not the other one, so it is not a solution to the system."

Learn more about system of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

Actual distance=187.5miles

Step-by-step explanation:

1cm=30miles

6.25cm=6.25*30miles

=187.5miles

The distance between the two towns using the map scale is 187.5 miles.

A measurement unit is a unit to measure certain quantities.

For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

To find the measurement of a new quantity known units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.

Given that,

The distance between the towns on map is 1 cm.

And, the scale of map is 1 cm = 30 miles.

As per the problem the actual distance can be found by using the scale of the map as follows,

The distance between two towns is 6.25 × 30 = 187.5 miles.

Hence, the actual distance between the two towns is 187.5 miles.

To know more about measurement unit click on,

https://brainly.com/question/15402847

#SPJ2

The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.

So, Each good he buys at (100 - 10)% = 90% of the value before tax.

He wants to buy some items that cost $11  before the discount and tax.

Therefore the amount he has to pay is,

= (90/100)×11.

= $9.9

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ1

Answer:

-10

Step-by-step explanation:

Answer:

 309

Step-by-step explanation:

-42 x -7 = 294 + 15 = 309

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

for such more questions on parabola

https://brainly.com/question/29635857

#SPJ8

Answer:

20

Step-by-step explanation:

Formula:

\(A = x * y\)

\(A - area, \: x - horizontal side, \: y - vertical side\)

The given information

\(x = 5, \: y = 4\)

Solution:

\(A = x * y = 5 * 4 = 20\)

The measure of the angle ABC given that the bisector is ABP is 12n degrees

From the question, we have the following parameters that can be used in our computation:

Angle measures

The angle measures and the relationships are given as

Using the above as a guide, we have the following:

The above statements mean that

ABC = 2 * ABP

substitute the known values in the above equation, so, we have the following representation

ABC = 2 * 6n

Evaluate the products

ABC = 12n

Hence, the measure is 12n degrees

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

The general solution of \(\tan bx = 2\) and \(x = 0.3\) is \(x = 0.095\pi \mp 0.271\pi\cdot i\), \(\forall \,i\in \mathbb{N}_{O}\).

From Trigonometry we remember that Tangent is a Transcendental Function that is positive both in 1st and 3rd Quadrants and have a periodicity of \(\pi\) radians.  The procedure consists in using concepts of Direct and Inverse Trigonometric Functions as well as characteristics related to the behavior of the tangent function in order to derive a General Formula for every value of \(x\), measured in radians.

First, we solve the following system of equations for \(b\):

\(\tan bx = 2\) (1)

\(x = 0.3\) (2)

Please notice that angles are measured in radians.

(2) in (1):

\(\tan 0.3b = 2\)

\(0.3\cdot b = \tan^{-1} 2\)

\(b = \frac{10}{3}\cdot \tan^{-1}2\)

\(b\approx 3.690\)

Under the assumption of periodicity, we know that:

\(y = \tan bx\)

\(b\cdot x \pm \pi\cdot i = \tan^{-1} y\), \(\forall \,i\in \mathbb{N}_{O}\)

\(b\cdot x = \tan^{-1}y \mp \pi\cdot i\)

\(x = \frac{\tan^{-1}y \mp \pi\cdot i}{b}\)

If we know that \(y = 2\) and \(b \approx 3.690\), then the general solution of this trigonometric function is:

\(x = \frac{0.352\pi \mp \pi\cdot i}{3.690}\), \(\forall \,i\in \mathbb{N}_{O}\)

\(x = 0.095\pi \mp 0.271\pi\cdot i\), \(\forall \,i\in \mathbb{N}_{O}\)

The general solution of \(\tan bx = 2\) and \(x = 0.3\) is \(x = 0.095\pi \mp 0.271\pi\cdot i\), \(\forall \,i\in \mathbb{N}_{O}\).

For further information, you can see the following outcomes from another users:

https://brainly.com/question/3056589

https://brainly.com/question/11526967

The parameters of the exponential function in this problem are given as follows:

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

The correct solution set for the given graph include the following: D. {infinite set of points on the line}.

In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.

This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:

Generally speaking, the solution set of a graph simply refers to all of the points that lie on its line. By critically observing the graph of lines a and b, we can reasonably infer and logically deduce that they both have the same slope, solution set, as well as increasing and decreasing infinitely.

In this context, the correct solution set lies in both Quadrant II and Quadrant III because both lines move towards negative and positive infinity i.e [-∞, ∞].

Read more on a solution set here: https://brainly.com/question/15452035

#SPJ1

Answer:

81.25 miles.

Step-by-step explanation:

We divide 6.5 by 2 to get 3.25, we then multiply 3.25 by 25 to get our answer.

The volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

A prism is a solid shape that is bound on all its sides by plane faces.

Given are prisms, we need to find their volumes :-

Volume = area of base × height

1) Base is a rectangle, area = length × width, height = 24

Volume = 24·14·35 = 11760 units³

2) Base is a rectangle, area = length × width, height = 21

Volume = 21·14·27 = 7938 units³

3) This is a cube, with side 21 units

Volume of cube = side³ = 9261 units³

4) This is a trapezoidal prism,

Volume = 1/2(b1+b2) × height × length = 1/2(36+24) × 38 × 20

= 22800 unit³

5) This is a triangular prism,

Volume = 1/2 × height × length × base

= 1/2 × 33 × 34 × 21 = 11781 units³

6) This is a cylinder,

Base is circular, volume = π·radius²·height

= 3.14·20·20·31 = 38936 units³

7) Base is a rectangle, area = length × width, height = 37

Volume = 25·37·25 = 23125 units³

8) Base is a rectangle, area = length × width, height = 28

Volume = 39·24·28 = 26208 units³

9) Base is a rectangle, area = length × width, height = 36

Volume = 36·24·17 = 14688 units³

Hence, the volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

Learn more about prisms, click;

https://brainly.com/question/29722724

#SPJ9

Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

Auuuu.........

...

.

.

.

.

.