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
inysia [295]
3 years ago
6

A box is 1 meter wider than its height and 2 meters longer than his width.

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Let the height be x

Hence, the width is $x+1$ and length is $(x+1)+2=x+3$

The volume is given to be 2 m³

Hence, $2=x(x+1)(x+3)$

Solving,

$x^3+4x^2+3x-2=0$

$(x+2)(x^2+2x-1)=0$

$\implies x+2=0$ or $x^2+2x-1=0$

But $x=-2$ cannot be possible

Hence, $x^2+2x-1=0$

$\implies x=-1-\sqrt 2$ or $x=-1+\sqrt 2$

Reject the negative solution.

Hence, the height is $\sqrt 2-1$,

width is $\sqrt 2$ and length is $\sqrt 2 +2$

You might be interested in
Select each quadrilateral that has exactly one pair of parallel sides.
anyanavicka [17]
Trapezoid and isocseles trapezoid
4 0
2 years ago
Annie wants to place the letter A on the number line at 3/4 does she place a in the right place
saw5 [17]
I need 2 see the number line 2 know....
3 0
3 years ago
Use tape diagrams to calculate the solution of 30 = 5w. Then, check your answer.
Aleks04 [339]

Answer:

6

Step-by-step explanation:

<em>if</em><em> </em><em>30 = 5w</em>

then 30/5=w=6

<em>-</em><em>tape</em><em> </em><em>diagrams</em><em> </em><em>in</em><em> </em><em>picture-</em>

7 0
3 years ago
Tonys bill at the restaurant was $9.52. If he wants to leave a 20% tip, how much is that?
postnew [5]

Answer:

11.42 dollars

Step-by-step explanation: since you are adding a percentage turn 20% into a decimal. if you do this you will get .2. Next, multiple .2 by 9.52 and you will get 20% of 9.52. Now add this value to 9.52 and you will get 11.42 dollars.

6 0
3 years ago
Complete the table of values for the equation, 16x + 4y = 12.
Ann [662]

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

<h3>Linear Function</h3>

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

  • a= the slope;
  • b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x  for finding the values of y.

Thus,

  • For x= -2,  the value of y will be:

       16*(-2)+4y=12

      -32+4y=12

      4y=12+32

     4y=44

      y=11

  • For x= -1,  the value of y will be:

         16*(-1)+4y=12

  • -16+4y=12
  • 4y=12+16
  • 4y=28
  • y=7
  • For x= 0,  the value of y will be:

         16*(0)+4y=12

  • 0+4y=12
  • 4y=12
  • 4y=12
  • y=3
  • For x= 1,  the value of y will be:

         16*(1)+4y=12

  • 16+4y=12
  • 4y=12-16
  • 4y=-4
  • y= -1
  • For x= 2,  the value of y will be:

         16*(2)+4y=12

  • 32+4y=12
  • 4y=12-32
  • 4y=-20
  • y= -5

Read more about the linear equation here:

brainly.com/question/1884491

#SPJ1

7 0
1 year ago
Other questions:
  • PLEASE HELP ASAP
    11·2 answers
  • 16+5x=8x-5 What would the variable be?
    5·1 answer
  • PLEASE NEED HELP FAST!! (10 points)
    7·1 answer
  • Send help<br> 2(p+12)=64
    11·2 answers
  • Answer choices are:
    15·1 answer
  • Prove that: (12^13–12^12+12^11)(11^9–11^8+11^7) is divisible by 3, 7, 19, and 37. The answer should be like: x^b*3*7*19*37. Also
    7·1 answer
  • PLEASE HELP. Solve for x
    5·1 answer
  • Find a solution to the linear equation y = 62 - 18 by filling in the boxes with a valid value of x and y.
    9·1 answer
  • Sam listed the weighs of his friends. They were 98 , 95 , 64 and 93 pounds. Sam said there were no outliers. Do you agree? Expla
    9·2 answers
  • Question is in the photo
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!