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
iVinArrow [24]
3 years ago
10

A pyramid has a square bade with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volum

e of the pyramid
Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

V = (2/9)s³

Step-by-step explanation:

The general formula for the volume of a pyramid is:

V = (1/3)(base area)(height).

Here,  the length of a side of the square base is s, and so the area is A = s².  For the height we use (2/3)s.  Then  the volume of the pyramid is:

V = (1/3)(s²)(2/3)s, or V = (2/9)s³

You might be interested in
Noah says that 9X minus 2X plus 4X is equivalent to 3X because the subtraction sign tells us to subtract everything that comes a
lesantik [10]

Answer:

False

Step-by-step explanation:

It is given that Noah thinks :

9x - 2x + 4x = 3x   as the subtraction sign after 9x tells us to subtract everything that comes after 9x.

This is wrong as according to the BODMAS rule, we have to do the addition operation first and then followed by subtraction operation.

That is

⇒ 9x - 2x + 4x

⇒ (9x -2x)+ 4x

⇒ 7x + 4x

⇒ 11x

Therefore the answer to the equation is 11x and not 3x.

8 0
3 years ago
100 Brainliest up for grabs to person who can answer all of these with no links:
kogti [31]

Using a discrete probability distribution, it is found that:

a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

c) The expected value is of 1.3 lawns mowed on a randomly selected day.

<h3>What is the discrete probability distribution?</h3>

Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:

  • P(X = 0) = 0.2.
  • P(X = 1) = 0.4.
  • P(X = 2) = 0.3.
  • P(X = 3) = 0.1.

Item a:

P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

Item b:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8

There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

Item c:

The expected value of a discrete distribution is given by the <u>sum of each value multiplied by it's respective probability</u>, hence:

E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.

The expected value is of 1.3 lawns mowed on a randomly selected day.

More can be learned about discrete probability distributions at brainly.com/question/24855677

6 0
2 years ago
Two parts Someone please help!!!!!
aivan3 [116]

Answer:

Part one: The function rule for the area of the rectangle is A(x) = 3x² - 2x

Part two: The area of the rectangle is 8 feet² when its width is 2 feet

Step-by-step explanation:

Assume that the width of the rectangle is x

∵ The width of the rectangle = x feet

∵ The length of the rectangle is 2 ft less than three times its width

→ That means multiply the width by 3, then subtract 2 from the product

∴ The length of the rectangle = 3(x) - 2

∴ The length of the rectangle = (3x - 2) feet

∵ The area of the rectangle = length × width

∴ A(x) = (3x - 2) × x

→ Multiply each term in the bracket by x

∵ A(x) = x(3x) - x(2)

∴ A(x) = 3x² - 2x

∴ The function rule for the area of the rectangle is A(x) = 3x² - 2x

∵ The rectangle has a width of 2 ft

∵ The width = x

∴ x = 2

→ Substitute x by 2 in A(x)

∵ A(2) = 3(2)² - 2(2)

∴ A(2) = 3(4) - 4

∴ A(2) = 12 - 4

∴ A(2) = 8

∴ The area of the rectangle is 8 feet² when its width is 2 feet

5 0
3 years ago
What is the domain of the function on the graph
Butoxors [25]
All real numbers greater than or equal to -3
3 0
3 years ago
Read 2 more answers
A sample of carbon dioxide occupies a volume of 3.50 l at 125 kpa pressure. what pressure would the gas exert if the volume was
Novosadov [1.4K]

The gas exerts a pressure of 218.75 kPa when its volume is reduced to 2.0 L, following the behavior of an ideal gas.

Ideal gas behavior:

Suppose the initial volume of carbon dioxide gas is V = 3.5l

Initial pressure is P = 125 kPa

Since the volume is reduced to 2.0l, the final volume is shown as V'= Will be done. 2L

The final pressure of the gas is P'.

We consider the behavior of gas to be ideal. From the ideal gas equation, it becomes as follows.

PV = P'V'

125 × 3.5 = P'× 2

P'= 218.75 kPa

Therefore, the final pressure is 218.5 kPa.

Learn more about ideal gas, visit brainly.com/question/11676583?referrer=searchResults

#SPJ4

3 0
1 year ago
Other questions:
  • chris and lisa went shopping and spent a total of $25.50. lisa spent $13.50 more than what chris spent. How much did Lisa spend
    11·2 answers
  • |x−(−12)|, if x&gt;−12
    9·1 answer
  • The table shows the number of boys and girls that have black blonde brown or red hair color.
    8·2 answers
  • What is the least common denominator for these two rational expressions 3/y,1/7y
    7·1 answer
  • Please help!!!
    8·2 answers
  • Please help me <br> Show your work <br> 10 points
    14·1 answer
  • Write the quadratic equation in standard form with the given roots. {1/2,-8}
    5·1 answer
  • 23 + 72 = ????<br> What is the answer?
    6·1 answer
  • The cuberoot of -125 is​
    8·2 answers
  • 5. The point (-2, -3) is rotated 90 degrees counterclockwise using center (0, 0).
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!