1st step - Write the formula for finding the volume of a regular pentagonal prism. The formula is V = [1/2 x 5 x side x apothem] x height of the prism.

2nd step - Find the area of the pentagonal base face. Let's say the length of a side is 6 cm and the length of the apothem is 7 cm.

3rd step - Find the height. Let's say the height of the shape is 10 cm.

4th step - Multiply the area of the pentagonal base face times the height. ...

and last step - State your answer in cubic units.

Step-by-step explanation:

:):):)

5 0

2 years ago

What is the answer to number 15 p.s. show how u got this ANSWER PLEASE

Anuta_ua [19.1K]

Answer:

The volume of the rectangular prism is $V=442.341\ cm^{3}$

The surface area of the rectangular prism is $SA=384.62\ cm^{2}$

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

$V=LWH$

substitute the values

$V=(12.7)(8.1)(4.3)=442.341\ cm^{3}$

The surface area of the rectangular prism is equal to the area of its six faces

$SA=2(8.1)(4.3)+2(12.7)(8.1)+2(12.7)(4.3)=384.62\ cm^{2}$

7 0

3 years ago

A coded message from a CIA operative to his Russian KGB counterpart is to be sent in the form Q4ET, where the first and last ent

iVinArrow [24]

Answer:

21,600

Step-by-step explanation:

If in the coding system being used there are 6 vowels (A, E, I , O, U and Y)

Number of Consonants =26-6 =20

First entry must be a consonant, therefore the first entry can be chosen in 20 ways.
The second entry must be an integer 1 through 9, therefore the second entry can be chosen in 9 ways.
The third entry must be one of the six vowels, therefore the third entry can be chosen in 6 ways.
The last entry must be a consonant, therefore the last entry can be chosen in 20 ways.

Therefore:

Number of different possible ciphers =20*9*6*20

=21600

7 0

3 years ago