All categories

3 years ago

Calculate the volume of the figure.

Mathematics

1 answer:

dimaraw [331]3 years ago

8 0

Answer: The volume is 33 cubic centimeters.

Step-by-step explanation:

First find the volume of the square pyramid on top of the cube. To find the volume of the square pyramid you use the volume a^2*h/3 a is the side length of the base of the square pyramid and h is the height all divide by 3.

So we can say that the side length of the base of the square pyramid is 3 because it has the same side length base as the cube.

V= 3^2 * 2 /3

V= 9 * 2 /3

V= 18/3

v= 6

So the volume of the square pyramid is 6 so now we need to find the volume of the cube and add them together.

Volume of the a cube uses the formula s^3 where s is the side length.

V= 3^3

v= 3*3*3

v= 27

The volume of the cube is 27.

Add 6 and 27 to find the total volume.

6 +27 = 33

You might be interested in

On August 11, Snippet Incorporated closed at $12,311 per share. One year earlier, one share closed at $14,298. What was an appro

Effectus [21]

The approximate 1-year percent change is 16.14%.

<h3>Percent change</h3>

Using this formula

Percent change=One year earlier closed amount-Closed amount/ Closed amount×100

Let plug in the formula

Percent change= $14,298-$12,311 /$12,311 ×100

Percent change=$1,987/$12,311 ×100

Percent change=16.14%

Inconclusion the approximate 1-year percent change is 16.14%.

Learn more about percent change here:brainly.com/question/11360390

8 0

2 years ago

What is this answer anyone

vampirchik [111]

The answer for this question is 36

7 0

3 years ago

Read 2 more answers

Graph the function

Oksana_A [137]

Answer:

To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then ... graphing showing vertical asymptote at x = 1 ... Next, I'll find any x- or y- intercepts.

6 0

2 years ago

Three students scheduled interviews for summer employment at the Brookwood Institute. In each case the interview results in eith

adoni [48]

Answer:

a. 8 outcomes

b. Discrete Variable

c. See explanation below

Step-by-step explanation:

Let N = No Offers made

Let Y = Offers made

The Expected outcome are as follows:

NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY

= 8

Let x = number of offers made

X is said to be discrete if x can take values that are restricted to a defined or limited values

X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)

Looking at the brief description above, we can conclude that x is discrete

NNN, 0

NNY, 1

NYN, 1

YNN, 1

NYY, 2

YNY, 2

YYN, 2

YYY, 3

Where 0 to 3 represents number of offers at every instance

5 0

2 years ago

A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks

klio [65]

Answer:

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

So, the binomial probability distribution has two parameters, n and p.

In this problem, we have that $n = 1000$ and $p = \frac{700}{1000} = 0.7$ . So the parameter is

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

8 0

3 years ago