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
lora16 [44]
3 years ago
10

The outside of a picture frame measures 14 in and 20 in 196in^2 of the picture shows find the thickness of the frame

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width. 
             Area = Length x Height
              Area = (20 in) x (14 in) 
              Area = 280 in²

We are given that the area is only equal to 192 in². We subtract this value from the computed area.
         Difference = 280 in² - 192 in²
               difference = 88 in²

This area is equal to the area of the hollow space inside the frame. That is equal to,
      height = 20 in - 2x
      length = 14 in - 2x

The area,
               88 = (20 - 2x)(14 - 2x)

Simplify the right hand side of the equation.
             88 = 280 - 68x + 4x²

Divide the equation by 4,
            22 = 70 - 17x + x²

Transposing,
                x² - 17x - 48 = 0
The factors of the equation is 58.2. 

Thus, the thickenss is equal to 58.2 in
You might be interested in
The volume of a right cylinder is V = πr2h. If we have an oblique cylinder, like in the figure, what is the volume of a cross-se
olchik [2.2K]
Since you did not attach any picture we cannot say for sure what is the correct answer, but we can discuss the options in order to find the most probable correct answer.

First of all, according to the Cavalieri's principle, an oblique cylinder has the same volume as a right cylinder with the same base surface area and same height.
A cross-section of an oblique cylinder will be a small right cylinder with the same base surface area and a height as small as possible.

I guess the oblique cylinder has height h and it is divided into many (probably 10) cross-sections.

Option A: <span>πr2h
This is exactly the volume of the right cylinder, therefore, unless you are given a cross-section of height h (which would be too easy), this won't be the correct answer.

Option B: </span><span>4πr2h
This is 4 times the right cylinder. Again, here the height of the cross-section should</span> be 4h, but it doesn't sound like a possible data (too easy again).

Option C: <span>1 10 πr2h
Here comes a n issue with the notation: I think the right number you meant to write is (1/10)</span>·πr2h and not 110·<span>πr2h.
If I am right, this means that your oblique cylinder of height h is divided into 10 cross-sections, and therefore the volume of each of these cross-sections will be a tenth of the volume of the oblique cylinder, which means </span>1/10·<span>πr2h.

Option D: </span><span>1 2 πr2h
Here, we have the same notation issue as before. I think you meant (1/2)</span>·<span>πr2h.
Here, your oblique cylinder height h should be divided into only 2 cross-sections. Now, we said the cross-section's height should be the smallest as possible, so an oblique cylinder divided only into two pieces doesn't sound good.

Therefore, the most probable correct answer will be C) </span>(1/10)·<span>πr2h</span>
8 0
3 years ago
Read 2 more answers
4/7 of a pound converted into ounces
konstantin123 [22]
Your answer is 9.14
hope this help







4 0
3 years ago
Read 2 more answers
How do I do any of this?!
evablogger [386]
U should get the app "photomath" it will help u out alot!!!
7 0
3 years ago
14. It costs a pool cover manufacturer $0.15 per square foot for the material they use to make pool covers. If a certain circula
laila [671]

Answer:

$2.83

Step-by-step explanation:

Diameter of the pool = 24ft

Cost of 1 ft² = $0.15

Area of the pool=?

But the pool is a circular pool,

Area of a circle = Πr² or πd²/4

π = 3.142

Area of the pool = (π * 24) / 4

Area = (3.142 * 24) / 4

Area = 18.85ft²

If 1ft² = $0.15

18.85 = $x

x = (18.85 * 0.15) / 1

x = $2.8275 = $2.83

The cost of the pool is $2.83

6 0
3 years ago
the volume of a rectangular prism is 504 in cube. If the area of the bask is 56 in cube, find its height.
mars1129 [50]

Answer: 9

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the value of each digit in this number 58
    10·2 answers
  • EASY 50 POINTS. PLEASE HELP!!!
    12·1 answer
  • 3 divided by 7 and 6 or both pl
    9·1 answer
  • The answer choices are
    8·1 answer
  • Solve for n <br> 10n+0.3=0.1+0.3
    8·1 answer
  • *20 points*
    15·1 answer
  • Can someone give me the answer and explain it to me? I honestly don't even get this-
    11·2 answers
  • Write an inequality that represents the statement A number r is at most 11
    10·1 answer
  • Simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4)
    7·1 answer
  • Matthew plays basketball for his high school. On average, he scores 33 points per game, with a standard deviation of 2 points. W
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!