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
Snowcat [4.5K]
3 years ago
7

A notebook has a perimeter of 36 inches and an area of 80 square inches. What are the dimensions of the notebook?

Mathematics
1 answer:
maw [93]3 years ago
4 0
Let L be length and W be width
The perimeter of a rectangle is 2W+2L=36
Thus 2W=36-2L, W=18-L
Area of a rectangle is WL=80
Thus (18-L)(L)=80
18L-L^2=80
L^2-18L+80=0
(L-8)(L-10)
Thus L can either be 8 or 10.
Because WL=80
If L is 8, then W=10
If L is 10, then W=8
So either way, the notebook is 8 by 10
You might be interested in
Solve the system <br> 2x+y=-3 <br> -2y=6+4x
ANEK [815]

Answer:

0

Step-by-step explanation:

Write out the 2 equations:

2x + y = -3

-2y = 6+4x

-You then pick a variable that you want to solve for. I chose to solve for y because it would be a bit easier.

-2y = 6 + 4x

-Divide both sides by -2 to isolate the variable

(-2y) / -2 = (6 + 4x) / -2

-it comes out to y = -3 -2x

-Now that you have the y you can plug in the value into the second equation.

2x + y = -3   --->   2x + (-3 -2x) = -3

This can be simplified to:

2x - 3 - 2x = -3

The 2x's cancel out because there is a +2x and a -2x. You are left with a

-3 = -3. If you add 3 to both sides of the equation you end up with 0 = 0, which can be simplified to just 0.

6 0
3 years ago
The graph below represents the price of sending video messages using the services of a phone company. What is the constant of pr
musickatia [10]

taylor is wrong the answer is 24

3 0
3 years ago
HELP, I AM UTTERLY CONFUSED *20 points
Studentka2010 [4]
Ok so this question is a bit complicated, but it's easier to understand if you break it down into smaller parts!

1) First, you know that ABGF is half the perimeter of ACDE. This means that the length of one side of ABGF must be 1/2 the length of one side of ACDE.
>> You can think of this by putting in random numbers. Say the perimeter of the larger square is 24 and the perimeter of the smaller square is 12. That means one side of the larger square of 24/4 (b/c four sides) = 6 and one side of the smaller square is 12/4 = 3!

2. Ok know you know the lengths of the sides relative to each other, but you're only given one value: 4in. Since the smaller square has sides that are 1/2 the larger squares, you know that it makes up 1/4 of the larger square! So imagine 4 of those smaller squares filling up that larger square to make a 2 by 2. It just so happens that 4in is the diagonal going through one of our imaginary squares, which is equal in size to ABGF!

3. Now use the 45-45-90 rule to figure out the length of one side of that imaginary square because the 4in diagonal splits that imaginary square into two of those 45-45-90 triangles. You know the hypotenuse of that triangle is 4in. That means one of the legs is 4/✓2 (since the rule says that the hypotenuse and the leg are in a ✓2:1 ratio). And like we said before the length of that leg is the length of the side of our imaginary square. And our imaginary square must be the same size as ABGF! So now we know the side of the smaller square to be 4/✓2!

4. Multiply the side of the smaller square by 2 to get the side of our larger square. (4/✓2)*2=8/✓2

5. Now to find the area of the shaded region, just find the area of the smaller square ABGF and subtract from the larger square ACDE. Use equation for the area of a square!
a =  {s}^{2}
where s=the length of one side.

The length of one side of the smaller square is 4/✓2. So it's area is:
{( \frac{4}{ \sqrt{2} }) }^{2}  =  \frac{16}{2}  = 8

The length of one side of the larger square is 8/✓2. So it's area is:
{ ( \frac{8}{ \sqrt{2} }) }^{2}  =   \frac{64}{2}   = 32

Now subtract. 32-8=24! :)

Hope this helps! Let me know if you have any questions.
3 0
3 years ago
How do I solve this 4/5 -3/9 I solve
Oksana_A [137]

Answer:

21/45

Step-by-step explanation:

You make the denominator the same and u also multiply the top too and u subtract and thats how u get the answer

3 0
3 years ago
Read 2 more answers
What is the best way to study and get good grades
sp2606 [1]

Answer: The best way to study is by getting flashcards or something to help you review stuff and the best way to get good grades is by studying, doing your homework, doing your classwork, extra credit any work can help you get good grades AND STUDY!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • I need To know what number 11 and 15 are
    11·2 answers
  • Do A triangle with sides measuring 12, 16, and 20 is a right triangle?
    9·1 answer
  • Find the value of |5| - 4(32 - 2).<br> hurry i need it in 1.5 seconds please hurry
    13·2 answers
  • When solving the equation x2 – 8x - 7 = ( by completing
    13·2 answers
  • Random question: hows life?
    10·2 answers
  • Kayden wants to make fruit punch. Kayden wants to make only 4 of her mom's recipe.
    10·1 answer
  • David ha fabricado una caja de cartón sin tapa para guardar sus cromos la caja tiene una base cuadrada cuyos lados miden 30 cm y
    14·1 answer
  • Solve -2x-8&gt;3x+12<br><br> (Picture added, multiple choice)
    14·1 answer
  • Dwayne estimated his mass as<br> 6 kilograms. Is his estimate reasonable? Explain your answer.
    8·2 answers
  • Find the tangent of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!