1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mila [183]
3 years ago
6

A box has a length of 5 cm, a width of 10 cm, and a height of 2 cm. the volume of the box is: 17 cm 17 cm3 100 cm 100 cm3

Mathematics
2 answers:
Ghella [55]3 years ago
5 0

Answer:

V=100cm^3\\

Step-by-step explanation:

In order to find the volume of the box we can simply use the formula for a rectangular prism.

The volume of a rectangular prism is given by:

V=l*w*h

Where:

l=length=5cm\\w=width=10cm\\h=height=2cm

Therefore the volume of this box is:

V=5*10*2=100cm^3

Inga [223]3 years ago
4 0
The volume of this box is 100 cm3.
You might be interested in
Tlachihualtepetl is a pyramid in Mexico. Each side of the base measures 450 meters and had an original height of 66 meters. How
LenKa [72]

Answer:

44,55,000 cubic meters of treasure could fit the pyramid.

Step-by-step explanation:

We are given the following in the question:

Base measure = 450 meters

Height  = 66 meters

The volume of the pyramid is given by:

V = \dfrac{AH}{3}

where A is the ares of the base and H is the height of the pyramid.

Putting values, we get,

V = \dfrac{1}{3}\times (450\times 450) \times 66\\\\V = 4455000\text{ cubic meters}

Thus, 4455000 cubic meters of treasure could fit the pyramid.

8 0
3 years ago
Find all the complex roots. Write the answer in exponential form.
dezoksy [38]

We have to calculate the fourth roots of this complex number:

z=9+9\sqrt[]{3}i

We start by writing this number in exponential form:

\begin{gathered} r=\sqrt[]{9^2+(9\sqrt[]{3})^2} \\ r=\sqrt[]{81+81\cdot3} \\ r=\sqrt[]{81+243} \\ r=\sqrt[]{324} \\ r=18 \end{gathered}\theta=\arctan (\frac{9\sqrt[]{3}}{9})=\arctan (\sqrt[]{3})=\frac{\pi}{3}

Then, the exponential form is:

z=18e^{\frac{\pi}{3}i}

The formula for the roots of a complex number can be written (in polar form) as:

z^{\frac{1}{n}}=r^{\frac{1}{n}}\cdot\lbrack\cos (\frac{\theta+2\pi k}{n})+i\cdot\sin (\frac{\theta+2\pi k}{n})\rbrack\text{ for }k=0,1,\ldots,n-1

Then, for a fourth root, we will have n = 4 and k = 0, 1, 2 and 3.

To simplify the calculations, we start by calculating the fourth root of r:

r^{\frac{1}{4}}=18^{\frac{1}{4}}=\sqrt[4]{18}

<em>NOTE: It can not be simplified anymore, so we will leave it like this.</em>

Then, we calculate the arguments of the trigonometric functions:

\frac{\theta+2\pi k}{n}=\frac{\frac{\pi}{2}+2\pi k}{4}=\frac{\pi}{8}+\frac{\pi}{2}k=\pi(\frac{1}{8}+\frac{k}{2})

We can now calculate for each value of k:

\begin{gathered} k=0\colon \\ z_0=\sqrt[4]{18}\cdot(\cos (\pi(\frac{1}{8}+\frac{0}{2}))+i\cdot\sin (\pi(\frac{1}{8}+\frac{0}{2}))) \\ z_0=\sqrt[4]{18}\cdot(\cos (\frac{\pi}{8})+i\cdot\sin (\frac{\pi}{8}) \\ z_0=\sqrt[4]{18}\cdot e^{i\frac{\pi}{8}} \end{gathered}\begin{gathered} k=1\colon \\ z_1=\sqrt[4]{18}\cdot(\cos (\pi(\frac{1}{8}+\frac{1}{2}))+i\cdot\sin (\pi(\frac{1}{8}+\frac{1}{2}))) \\ z_1=\sqrt[4]{18}\cdot(\cos (\frac{5\pi}{8})+i\cdot\sin (\frac{5\pi}{8})) \\ z_1=\sqrt[4]{18}e^{i\frac{5\pi}{8}} \end{gathered}\begin{gathered} k=2\colon \\ z_2=\sqrt[4]{18}\cdot(\cos (\pi(\frac{1}{8}+\frac{2}{2}))+i\cdot\sin (\pi(\frac{1}{8}+\frac{2}{2}))) \\ z_2=\sqrt[4]{18}\cdot(\cos (\frac{9\pi}{8})+i\cdot\sin (\frac{9\pi}{8})) \\ z_2=\sqrt[4]{18}e^{i\frac{9\pi}{8}} \end{gathered}\begin{gathered} k=3\colon \\ z_3=\sqrt[4]{18}\cdot(\cos (\pi(\frac{1}{8}+\frac{3}{2}))+i\cdot\sin (\pi(\frac{1}{8}+\frac{3}{2}))) \\ z_3=\sqrt[4]{18}\cdot(\cos (\frac{13\pi}{8})+i\cdot\sin (\frac{13\pi}{8})) \\ z_3=\sqrt[4]{18}e^{i\frac{13\pi}{8}} \end{gathered}

Answer:

The four roots in exponential form are

z0 = 18^(1/4)*e^(i*π/8)

z1 = 18^(1/4)*e^(i*5π/8)

z2 = 18^(1/4)*e^(i*9π/8)

z3 = 18^(1/4)*e^(i*13π/8)

5 0
1 year ago
The distance between -18 and 15 is equal to ______.
Lina20 [59]

Answer:

It would be equal to 15 - (18)

6 0
3 years ago
Read 2 more answers
Megan has a bag of beads. She uses 28 beads to make each necklace. She makes 12 necklaces. Megan has 135 beads left over.
Bezzdna [24]
If you are asking for how many beads she used in total for the 12 necklaces it is 
336. If you are asking how many beads she had before making the necklaces it is 471. If you are asking how many necklaces can she make with the leftover beads it is about 4. Hope this helps plz mark a crown. 
5 0
3 years ago
Which of the following is NOT a level of​ measurement? nominal ratio qualitative ordinal
PSYCHO15rus [73]

Answer:

Nominal.

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the prime factorization of 45?<br><br> 2×3×3<br><br> 3×3×5<br><br> 5×9<br><br> 2×2×3×3
    6·2 answers
  • Is (-5,-5) a solution of y \geq -2x +4y≥−2x+4 ?
    15·1 answer
  • Mrs. Little creates a boxplot for the test scores on her latest math test. She finds that the interquartile range is 20 points.
    14·2 answers
  • The correct order for saving should be _____.
    8·1 answer
  • Find the balance in the account after the given period. $4000 principle earning 3% compounded annually 6 years
    10·1 answer
  • Indicate in standard form the equation of the line passing through the given point and having the given slope.. . C(0, 4), m = 0
    15·2 answers
  • What is the measure of abc in the figure below?
    5·2 answers
  • Please help with number 10 please ​
    11·1 answer
  • Whos better nba yb or fredo bang
    11·2 answers
  • using graphing, what is the approximate solution of this equation? x/(x+3) = sqrt(x - 1) NO LINKS!! ​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!