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
swat32
3 years ago
14

What is the order steps to calculate the volume of a prism?

Mathematics
1 answer:
disa [49]3 years ago
6 0

Answer:

V=1/2Bh

Step-by-step explanation:

Multiply the area of the triangular base face times the height. Just multiply the area of the base times the height. After you multiply the base and height, you'll have the volume of the prism. then just your answer in cubic units.

You might be interested in
I need help with my math homework. The questions is: Find all solutions of the equation in the interval [0,2π).
Aleksandr-060686 [28]

Answer:

\frac{7\pi}{24} and \frac{31\pi}{24}

Step-by-step explanation:

\sqrt{3} \tan(x-\frac{\pi}{8})-1=0

Let's first isolate the trig function.

Add 1 one on both sides:

\sqrt{3} \tan(x-\frac{\pi}{8})=1

Divide both sides by \sqrt{3}:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}}

Now recall \tan(u)=\frac{\sin(u)}{\cos(u)}.

\frac{1}{\sqrt{3}}=\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}

or

\frac{1}{\sqrt{3}}=\frac{-\frac{1}{2}}{-\frac{\sqrt{3}}{2}}

The first ratio I have can be found using \frac{\pi}{6} in the first rotation of the unit circle.

The second ratio I have can be found using \frac{7\pi}{6} you can see this is on the same line as the \frac{\pi}{6} so you could write \frac{7\pi}{6} as \frac{\pi}{6}+\pi.

So this means the following:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}}

is true when x-\frac{\pi}{8}=\frac{\pi}{6}+n \pi

where n is integer.

Integers are the set containing {..,-3,-2,-1,0,1,2,3,...}.

So now we have a linear equation to solve:

x-\frac{\pi}{8}=\frac{\pi}{6}+n \pi

Add \frac{\pi}{8} on both sides:

x=\frac{\pi}{6}+\frac{\pi}{8}+n \pi

Find common denominator between the first two terms on the right.

That is 24.

x=\frac{4\pi}{24}+\frac{3\pi}{24}+n \pi

x=\frac{7\pi}{24}+n \pi (So this is for all the solutions.)

Now I just notice that it said find all the solutions in the interval [0,2\pi).

So if \sqrt{3} \tan(x-\frac{\pi}{8})-1=0 and we let u=x-\frac{\pi}{8}, then solving for x gives us:

u+\frac{\pi}{8}=x ( I just added \frac{\pi}{8} on both sides.)

So recall 0\le x.

Then 0 \le u+\frac{\pi}{8}.

Subtract \frac{\pi}{8} on both sides:

-\frac{\pi}{8}\le u

Simplify:

-\frac{\pi}{8}\le u

-\frac{\pi}{8}\le u

So we want to find solutions to:

\tan(u)=\frac{1}{\sqrt{3}} with the condition:

-\frac{\pi}{8}\le u

That's just at \frac{\pi}{6} and \frac{7\pi}{6}

So now adding \frac{\pi}{8} to both gives us the solutions to:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}} in the interval:

0\le x.

The solutions we are looking for are:

\frac{\pi}{6}+\frac{\pi}{8} and \frac{7\pi}{6}+\frac{\pi}{8}

Let's simplifying:

(\frac{1}{6}+\frac{1}{8})\pi and (\frac{7}{6}+\frac{1}{8})\pi

\frac{7}{24}\pi and \frac{31}{24}\pi

\frac{7\pi}{24} and \frac{31\pi}{24}

5 0
3 years ago
11. Circle the name of the student who correctly wrote the equation modeled below. Then, find the
Svet_ta [14]

Answer:

the student that is correct is Gene and the solution is x=10

3 0
2 years ago
How is the product of two and -5 shown on a number line
tatuchka [14]
The correct answer is D
3 0
3 years ago
Read 2 more answers
Fill in the missing values for the equation below
Firlakuza [10]
Look where the line is touching on the y-axis and that will be your y-value. From there or somewhere on the line use rise over run (rise/run, do not divide). Count how many times it goes up and then count how many times it goes left or right. Make sure to look where the line is going, up or down slanted. If the line is going down, but slanted it will be a negative slope; line going up and slanted is positive.

8 0
3 years ago
PLEASE HELP ME WITH THIS!!! 25 POINTS ALSO PLEASE TRY TO ANSWER A AND B
professor190 [17]

Step-by-step explanation:

____________________

5 0
3 years ago
Other questions:
  • I need help on this problem...
    9·1 answer
  • Convert 4,873,800 milliliters to liters? Show work!!
    8·2 answers
  • Suma numerelor de forma a4b cu produsul cifrelor 24 este egala cu
    12·1 answer
  • Simplify <br> (2x10^4)^6
    5·1 answer
  • Approximate the value of the square root of 110 to the nearest hundredth
    15·1 answer
  • Can you help me in this question
    12·1 answer
  • Which of the follow is true about it
    9·2 answers
  • Find the modulus of the complex number 6-2i
    14·1 answer
  • What value of c makes the equation true? <br> (PLEASE HELP, and look at the picture)
    5·2 answers
  • \large -6x+6y=6<br> \large 6x+3y=12
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!