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
allsm [11]
3 years ago
5

The formula for the volume of this rectangular prism is:

Mathematics
1 answer:
juin [17]3 years ago
8 0

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

32

;

............... (2)

W

=

(

x

−

1

)

;

   

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

   

7

l

0

−

8

=

20

;

   

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

You might be interested in
Round off the following numbers to two decimal places <br> 1.2.1) 0,77677<br> 1.2.2) 34,2784682
andre [41]
1) 0.78
2) 34.28
This is because the number in the 3rd decimal place for both numbers is 5 or above so it is rounded up rather than down.
8 0
3 years ago
An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.
brilliants [131]

The 15th term of the arithmetic sequence a_{15} = 64

Option B is correct

The nth term of an arithmetic sequence is given as:

a_{n} = a + (n - 1)d

The first value, a = 22

a_8 = a+(8 - 1)d\\a_8 = a + 7d

Since a_8 = 43

43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3

The common difference, d = 3

a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

4 0
2 years ago
The difference between an observational study and an experiment is that:
yulyashka [42]

Answer:

B

Step-by-step explanation:

An experiment is a study carried out in a controlled environment where the person undertaking the research hopes to understand cause and effect between the independent and dependent variables. An example of a experiment is the palovian experiment

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable

Observational study is the study where the researcher observes and measures cause and effect between independent and dependent variables without trying  to control or influence the population

4 0
3 years ago
What angle of rotation maps p onto P'?
erastovalidia [21]
Alms Alan’s Alanaj am so
7 0
3 years ago
I don’t understand please help
Katarina [22]
Y= 4/1 x -9 :) djsjsjdndndndj
8 0
3 years ago
Other questions:
  • An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reach
    5·1 answer
  • The life expectancy of a circulating coin is 25 years. The life expectancy of a circulating dollar bill is only 1/20 as long. Fi
    12·1 answer
  • How to find the volume of a prism
    7·2 answers
  • Anbody plesssse help me
    14·2 answers
  • A cube has and edge length of 2 centimeters. What is it’s volume, in cubic centimeters?
    15·1 answer
  • Place the correct symbol, &lt; or &gt;, between the two numbers 11/18 17/24
    10·2 answers
  • A. 159000<br> B. 23000<br> C. 54896<br> D. 12387
    8·2 answers
  • ( x - 7 )/ ( x - 2 ) = 5/4 , Therefore x = -------------
    10·1 answer
  • Is 0.62473 a member of the set? For each set of real numbers
    5·1 answer
  • The staff at Tiny Little Cherubs day care center observed the eating habits of their 64 students during several
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!