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
alexandr402 [8]
3 years ago
12

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length,x,of it

s square base. Nathan uses the formula for the volume of a pyramid to determine the dimesnsioms of the sculpture.
V=1/3 a^2h
Here, a is the side length of the pyramids square base and h is it’s height.

If 162 cubic centimeters of clay were used to make the sculpture, the equation x^3+_x^2+_=0 can be used to find that the length of the sculptures base is _ centimeters.
Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

side length of sculpture = 9 cm

height of sculpture = 6cm

Step-by-step explanation:

Given that,

volume of sculpture = 162cm³

side length of sculpture = x

height of sculpture = x-3

formula for volume of sculpture

<h3>V=1/3 a²h</h3>

by putting values, the equation can be used to find the length of the sculpture’s base

162 = 1/3 (x)² (x-3)

162(3) =  (x)² (x-3)

486 = x²(x-3)

486 = x³ - 3x²

x³ - 3x² - 486 = 0

x = 9 <em>(using a graph tool / calculator equation mode)</em>

side length of sculpture = 9 cm

height of sculpture = 9 - 3

                                 = 6cm

You might be interested in
In 1999 there were 1647 daily and 7471 weekly newspapers published in the United States, as well as X other kinds of newspapers.
kompoz [17]
I'll do the math for this, it may take me a few minutes so i will update this comment with an answer in just a minute. I always get anxious when nobody replies kind of quickly as i feel it is being forgotten. So just a heads up i'm working on a answer!
4 0
3 years ago
A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the res
Brums [2.3K]
(1073 + 1108 + x) / 3 = 1000
(2181 + x) / 3 = 1000 ....multiply both sides by 3
2181 + x = 1000 * 3
2181 + x = 3000
x = 3000 - 2181
x = 819 <== they would need to earn $ 819 on Sunday
8 0
2 years ago
Bert has three times as much money as Ernie. If Ernie spends $6 on a new rubber ducky, then Bert will have five times as much mo
fomenos

Answer:

Bert has $45.

Step-by-step explanation:

I have no real strategy, except for that I used guess and check. How did I do this? Well, since I am in 5th Grade, I don't know algebra very well, so I made an organized chart and checked all the numbers that had to be a multiple and  could be divided equally by 5, 3 and when a third of that number was subtracted by 6, it was a fifth of the orginal number. Thats how I got 45.

Checking this answer:

It is always important to check your answer after finishing the problem, so this is how I checked my answer:

1. 45 divided by 3 = 15

2. 15 - 6 = 9, and 9 is 1/5 of 45

Bert has $45.

5 0
3 years ago
If $250 is invested at an interest rate of 12% per year, compounded biannually, how much will the investment be worth at the end
Kryger [21]

Answer:

2563

Step-by-step explanation:

Kgr7q wtbej iw ku3yf kuey wuyr icnt gje eruyg eurygb ekuv ekght kicu dkyg

4 0
2 years ago
The last time brea played softball she hit the ball 35 percent of the times she was at bat based on this information how many ti
WITCHER [35]

Answer:

The answer to your question is 7 times

Step-by-step explanation:

Data

Percent of accuracy = 35%

Times she is at bat = 20

Times she hit the ball = ?

Process

1.- Use proportions to solve this problem

20 times will be the 100%  because is the total number of times she is at bat.

                     20 times ------------------ 100%

                       x            ------------------   35%

                       x = (35 x 20) / 100

                       x = 700 / 100

                       x = 7

2.- Conclusion

From 20 times she is at bat, she will hit the ball 7 times.                

4 0
3 years ago
Other questions:
  • In a certain city, 30 percent of the people are conservatives, 50 percent are liberals, and 20 percent are independents. records
    11·1 answer
  • -7x + 2y = 18<br> 6x+6y=0
    13·1 answer
  • 9/8 × 2/3<br>faction in simplest form<br>​
    6·2 answers
  • (8/9)^2 I need to evaluate this
    15·2 answers
  • The length of a Rectangle is 5/6 feet. The width is 3/8 feet.
    10·2 answers
  • Summarize what happens when the number of spins in experimental probability gets closer to 100.
    15·1 answer
  • HELP I NEED HELP ASAP
    10·1 answer
  • 5(9 + a) &lt; 110 what the inequality?
    14·1 answer
  • Help please I’ll give you love :)
    15·1 answer
  • The current value of an investment is 125 percent of its initial value.The increase in value is $10million.What was the initial
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!