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4 years ago

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Mathematics

2 answers:

Fantom [35]4 years ago

8 0

Answer: The correct options is (D) 128 units³.

Step-by-step explanation: We are given to find the volume of the regular pyramid shown in the figure.

The VOLUME of a regular pyramid with base area 'b' square units and height 'h' units is given by

$V=\dfrac{1}{3}\times b\times h.$

In the given figure, we have

base area = 8 × 8 = 64 units² and height, h = 6 units.

Therefore, the volume of the regular pyramid is

$V=\dfrac{1}{3}\times b\times 64\times 6=\dfrac{1}{3}\times =128~\textup{units}^3.$

Thus, the required volume is 128 units³.

Option (D) is correct.

poizon [28]4 years ago

5 0

First, set up the equation.
V=(l*w*h)/3
Substitute the values for the variables.
V=(8*8*6)/3
Simplify.
V=(384)/3
V=128 cubic units

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The numbering system we commonly use is called the decimal numbering system because it uses ____ symbols to represent all possib

mafiozo [28]

The numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

Decimal number system: "Deci" meaning 10, implies that the number system consists of 10 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Binary number system: "Bi" meaning 2, implies that the number system consists of 2digits or symbols, namely 0, and 1.
Octal number system: "Oct" meaning 8, implies that the number system consists of 8 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, and 8.
Hexa-Decimal number system: "Hexa-Deci" meaning 16, implies that the number system consists of 16 symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

Learn more about number systems at

brainly.com/question/14567654

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6 0

2 years ago

What is the sum of the geometric series 2+6+18+...+486?

marin [14]

Answer:

728

Step-by-step explanation:

2+6+18+...+486

a=2

r=6/2=3

$a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728$

6 0

3 years ago

There are 100 tiles in a word game, and 2 of the tiles are blank. Kiera draws 6 tiles, and none of them are blank.

Kay [80]

Answer:

$\frac{1}{47}$ or around 2%

Step-by-step explanation:

So we need to see how many tiles are left.

100 - 6 = 94

So we have 94 tiles. 2 of them are blank, so the chance of one being blank is:

2 / 94 which is $\frac{1}{47}$

And that is our answer! Hopefully this helps, have a nice day :D

7 0

3 years ago

Two consecutive odd negative integers have a product of 483, find the integers ...?

irinina [24]

In order to find this you need to assume that they are declared as X and as X + 2. This makes the formula for calculating it x (x+2)=483, and this, based on the formulas for calculation, equals

x^2+2x-83=0

From this we can see that a negative X is -23, which when +2 is added results in -21.

3 0

3 years ago

Read 2 more answers

(A/B)+(C/D) anyone know how to solve or simplify this? It’s fractions

JulijaS [17]

Hey!

How are you?? I'd love to assist you today :)

First, remove the parentheses.

Now you have A/B + C/D

Now, rewrite the expression with a common denominator.

AD + CB / BD

That would be the official answer to the question. Make sure to ask any questions.

7 0

3 years ago