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
belka [17]
3 years ago
13

a photograph measures 10 inches by 12 inches. a frame with constant width is placed around the photograph so that the total area

of the framed photo is 288 square inches. what is the width of the frame? enter your answer in the box.
Mathematics
1 answer:
natima [27]3 years ago
7 0
The correct answer is 3 inches.

To find this answer, we need to write and solve a quadratic equation.

Let's call the width of the frame X.

Then, the total width is 10 + 2x and the total length is 12 + 2x.

Having this information, we can write and solve the following equation.

(10 + 2x)(12 + 2x) = 288
4x^2 + 44x + 120 = 288
4x^2 + 44x - 168 = 0
4(x - 3)(x + 14) = 0

The solutions are 3 and -14, but only 3 makes sense in the story problem.
You might be interested in
A flagpole broke in a storm. It was originally 81 8181 feet tall. 28 2828 feet are still sticking straight out of the ground, wh
solong [7]

Answer:

The end of the flagpole is 50.79 ft away from the base of the pole.

Step-by-step explanation:

The problem is represented by the diagram below.

The broken flagpole forms the shape of a right angled triangle. We need to find one of the sides of the triangle, the adjacent (x).

The hypotenuse is the broken part of the flagpole (53 ft), while the opposite is the part of the flagpole that is still stuck to the ground (28 ft).

Using Pythagoras theorem, we have that:

hyp^2 = adj^2 + opp^2

=> 53^2 = x^2 + 28^2

3364 = x^2 + 784\\\\=> x^2 = 3364 - 784\\\\x^2 = 2580\\\\x = \sqrt{2580}\\ \\x = 50.79 ft

The end of the flagpole is 50.79 ft away from the base of the pole.

7 0
3 years ago
Help help help help help
IceJOKER [234]

Answer:

let me take a guess and if its wrong sorry

Step-by-step explanation:

12

5 0
3 years ago
Who ever answers this first gets brainly
Ronch [10]

Answer:

d. 188.4 in

Step-by-step explanation:

i might be wrong so sorry in advance.

7 0
3 years ago
(2x^3-5x^2+8)(x+3)=?
Alla [95]
(2x³ - 5x² + 8)(x + 3) = ?
First step is to distribute.

2x^4 + 6x³ - 5x³ - 15x² + 8x + 24
Now combine like terms.

2x^4 + x³ - 15x² + 8x + 24

This is your answer, since you can't simplify any further or solve it without some more information.
8 0
4 years ago
You are constructing triangle ABC given the line segments AB and AC and ∠A. The first thing you do is copy segment AC. Next, you
nikitadnepr [17]

Answer:

copy AB



Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Other questions:
  • Please do asap! Due Tomorrow!!! Please don't delete!!! Show Work!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • NEED HELP NOW!!!!!!!!!!!!!!
    10·1 answer
  • How to multiply a whole number with a mixed number?
    9·1 answer
  • makhi has 1,500 pennies jazym has ten more pennies than Makhi jazm decides to give st judes 49,999 pennies how many pennies does
    5·1 answer
  • Researchers studying senior citizens discovered that an elderly person's walking speed was correlated to that person's chance of
    14·1 answer
  • Please help I’ll mark you as brainliest if correct!
    5·2 answers
  • 6.
    13·1 answer
  • Helpppppppppppppppppp pleaseeeeeeeeeeee!!!!!!!!!!!!!!!
    6·1 answer
  • Find the area. Simplify your answer.<br> X+4<br> 2x
    7·1 answer
  • 4 qt =<br> С<br><br> Show me the steps please
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!