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
Sunny_sXe [5.5K]
3 years ago
11

What is the volume of a square pyramid with a base length of 4 cm and a height of 9 cm ​

Mathematics
1 answer:
galben [10]3 years ago
5 0
The volume is 48 cm
You might be interested in
Explain how to find the middle quartile of a box-and-whisker plot.
Soloha48 [4]

Step-by-step explanation: The middle quartile or <em>second quartile</em> as I like to call it is the median of the entire data set. Remember that the median is the middle number when the data is written from least to greatest.

6 0
3 years ago
a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s
slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane  so that the two solids of equal weight will be formed.

<u>It is assumed that weight of pyramid is proportional to its volume.</u>

So,   w  = k V , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h  distance,  pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is,   V= \frac{1}{3}  *A* 5

So, weight of original pyramid,  W = k *(\frac{1}{3}  *A* 5) = 800

Volume of small pyramid is,  v = \frac{1}{3}* a* h

So, weight of small pyramid, w = k*(\frac{1}{3}* a* h)=400

<u>Since, base and height of small pyramid and original pyramid are in proportion.</u>

So,  \frac{a}{A}  = (\frac{h}{5}) ^{2}

       a = (\frac{h}{5} )^{2}A

Substituting value of a in  equation k*(\frac{1}{3}* a* h)=400

So, k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400

       (k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400

Since, (k *\frac{1}{3}  *A* 5) = 800, substitute in above equation.

    So, 800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet

Learn more:

brainly.com/question/17950304

6 0
2 years ago
Read 2 more answers
I need the whole solution
ddd [48]

Confused what the question is. Are you looking for the product or the zeroes?

If you are looking for the product, then:

Use foil to get: sec²(1) - sec²(-csc²) -1(1) -1(-csc²)

= sec² + sec²csc² - 1 + csc²

= sec²csc² + sec² + csc² - 1

= sec²csc² + 1 - 1 (NOTE: sec² + csc² = 1 is an identity)

= sec²csc²

Answer: sec²csc²

***************************************************

If you are looking for the zeroes, then:

Using the zero product property, set each factor equal to zero and solve.

<u>First factor:</u>

sec²Θ - 1 = 0

sec²Θ = 1

secΘ = 1, -1

remember that secΘ is \frac{1}{cos}

\frac{1}{cos} = 1 \frac{1}{cos} = -1

cross multiply to get:

cosΘ = 1 cosΘ = -1

use the unit circle (or a calculator) to find that Θ = 0 and π

<u>Second factor:</u>

1 - csc²Θ = 0

1 = csc²Θ

1, -1 = cscΘ

remember that cscΘ is \frac{1}{sin}

\frac{1}{sin} = 1 \frac{1}{sin} = -1

cross multiply to get:

sinΘ = 1 sinΘ = -1

use the unit circle (or a calculator) to find that Θ = \frac{\pi}{2} and \frac{3\pi}{2}

Answer: 0, π, \frac{\pi}{2} , \frac{3\pi}{2}

7 0
3 years ago
What is the solution to this equation?
andreev551 [17]

Answer:b.-10

Step-by-step explanation:

You move the 8 to the other side it becomes negative then u combine liked terms and get x=-10

6 0
3 years ago
Select the correct answer from each drop down menu.
KATRIN_1 [288]

Answer: x^2, x<2, 5, 2</=x<4

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • In the rhombus,8y-6 . Find the value of y.
    9·1 answer
  • Ira bought a tennis racquet that cost $112. The sales tax rate is 9 percent. What is the total amount that she paid?
    10·2 answers
  • F(x) = 9x + 6 <br> g(x) = 3x + 2 <br> find (f/g)(x)
    15·1 answer
  • Trevor packed 22.5 pounds of potatoes into several bags. If there are 2.5 pounds of potatoes in each bag, how many bags did he p
    9·2 answers
  • HELP PLEASE FAST!!!!!!!
    13·1 answer
  • Which is a factor of x2 – 9x + 14?<br> x – 9<br> x – 2<br> x + 5<br> x + 7
    7·2 answers
  • Can someone please help me? I keep losing points...
    15·2 answers
  • Can someone help me with this
    11·1 answer
  • Someone please help and thank you
    5·2 answers
  • Stacy recorded the number of minutes she used her
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!