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
nalin [4]
3 years ago
8

n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic in

ches. What is the length and width?
Mathematics
1 answer:
sukhopar [10]3 years ago
3 0

Answer: Height = 20 inches

Width = 14 inches

Step-by-step explanation:

The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where L,W and H represents the length, width and height of the box.

The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

H = W + 6

Its length is 33 inches, and its volume is 9240 cubic inches. It means that

9240 = 33W(W + 6)

9240/33 = W(W + 6)

280 = W² + 6W

W² + 6W + (6/2)² = 280 + (6/2)²

(W + 3)² = 280 + 9 = 289

Taking square root of both sides, it becomes

W + 3 = √289 = 17

W = 17 - 3

W = 14

H = W + 6 = 14 + 6

H = 20

You might be interested in
Describe the scene of my first rehearsal in 1st grade
3241004551 [841]

Answer:

that was when I was in 1st grade. I was quite confused and didn't know what to do. We rehearsed first. I made a lot of mistakes but everything was fine until I got on stage. I think when I finished performing, it was my proudest time

6 0
3 years ago
Read 2 more answers
For every 144 light bulbs produced, 6 are defective. Find the number of defective light bulbs that could be expected out of 720.
Lelu [443]
You are going to get the rate of the detects.
6 detects ÷ 114 light bulbs = 1/19 detects per light bulb

If there are 720 light bulbs, then the number of detects will be
720 light bulbs * 1/19 detects per light bulb = 37. 89 ≈ 38 detects
7 0
3 years ago
Read 2 more answers
What is the value of x enter your answer in the Box
Dimas [21]
61.4 is the value of x
7 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures 128 cm. A right triangle is shown. The length of the hypotenuse is 128 centime
Aleks [24]

Answer:

64√2 or 64 StartRoot 2 EndRoot

Step-by-step explanation:

A 45-45-90 traingle is a special traingle.  Let's say one of the leg of the triangle is x. The other one is also x because of the isosocles triangle theorem.  Therefore, using the pytagorean theorem, you find that x^2+x^2=c^2.  2(x)^2=c^2.  You then square root both sides and get c= x√2.  

Therefore, the two legs are x and the hypotenuse is x√2.  x√2=128 because the question says that the hypotenuse is 128.  Solve for x by dividing both sides by √2.  X=128/√2.  You rationalize it by multiplying the numberator and denominator of the fraction by √2.  √2*√2= 2.

X=(128√2)/2= 64√2 cm.

Since X is the leg, the answer would be 64√2

3 0
3 years ago
Read 2 more answers
8 / 3 3/8 as a mixed number in simplest form
sukhopar [10]

Answer:

8/3 as a mixed number would be written as 2 2/3.

8 0
2 years ago
Other questions:
  • Write a coparison sentence
    14·1 answer
  • Choose the graph of the function given below.f(x) = 2x+1
    11·1 answer
  • Which statements are truth about exponential decay and functions ? Check all that apply
    8·1 answer
  • Which graph shows the solution to the system of linear inequalities?
    12·1 answer
  • Sofia graphed the points 1.3, −11 2 , 0.25, and 13 4 on the number line. A number line going from negative 2 to positive 2 in in
    9·2 answers
  • Help 10 points thx!! i will mark first person that answers branliest no joke
    14·2 answers
  • “Below are in standard form and explain why.” Who’s correct?
    8·1 answer
  • Make an inference I sit in my seat, as a lady at the piano plays a soft melody. Each chair in the auditorium is decorated with w
    5·1 answer
  • 4w-16 60<br> Simplify your answer as much as possible.<br> &gt;<br> .<br> X Х<br> 5<br> ?
    10·2 answers
  • Rewrite this expression in simplest form.<br> (40&amp;w)(-2003)2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!