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
yKpoI14uk [10]
3 years ago
10

You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. Wh

at is the width of the frame?
​

Mathematics
1 answer:
erastova [34]3 years ago
4 0

Answer:  c) 3.2 inches

<u>Step-by-step explanation:</u>

Let x represent the width of the frame

Then the area of the frame is:

(x + 12)(x + 14) = 261.44

Rewrite it in Standard form of a quadratic equation:

x² + 26x + 168 = 261.44

x² + 26x - 93.44 = 0

Use Quadratic Formula to solve for x:

x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}

You might be interested in
Round 51.78 to the greatest place
zloy xaker [14]

Answer:

Step-by-step explanation:

51.78 is rounded up to 52

6 0
3 years ago
It takes 3 hours for two people to weed a garden. How many hour would it take six people to do that task if they were all workin
babunello [35]

Answer:

1 hour

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the product of 30−−√ and 610−−√. Express it in standard form (i.E., ab√).
Zina [86]

we are given

\sqrt{30} *\sqrt{610}

we can radical formula

\sqrt{a} *\sqrt{b}=\sqrt{a*b}

we get

\sqrt{30} *\sqrt{610}=\sqrt{30*610}

\sqrt{30} *\sqrt{610}=\sqrt{3*61*100}

we can  also write as

\sqrt{30} *\sqrt{610}=\sqrt{100}*\sqrt{3*61}

\sqrt{30} *\sqrt{610}=10\sqrt{183}............Answer


7 0
3 years ago
Read 2 more answers
The graph shows the function f(x) = |x – h| + k. What is the value of k? k = –2.5 k = –A. k = –2.5
DedPeter [7]

k is the y-coordinate of the vertex of the function. That vertex is located at (1, -2.5).

The value of k is ...

... A. k = -2.5

5 0
3 years ago
Read 2 more answers
A building with a cost of $1,800,000 has an estimated residual value of $125,000, has an estimated useful life of 40 years, and
nika2105 [10]

Answer:

$41,875

<u>Extra</u>

a. $17,250 [($780,000 – $90,000) ÷ 40]

b. $366,000 [$780,000 – ($17,250 × 24 yrs.)]

c. $29,600 [($366,000 – $70,000) ÷ 10 yrs.]

Step-by-step explanation:

Step 1: Determine the cost of the asset

1,800,000

Step 2: Subtract the estimated salvage value of the asset from the cost of the asset to get the total depreciable amount

1,800,000 - 125,000

Step 3: Determine the useful life of the asset

40

Step 4: Divide the sum of step (2) by the number arrived at in step (3) to get the annual depreciation amount

$41,875

5 0
3 years ago
Other questions:
  • I need help with this
    15·1 answer
  • Certain clouds form when temperatures fall below -62c. What is the temperature in degrees Fahrenheit? Temperature is_ Greece Fah
    14·1 answer
  • Maya's new puppy weighs 4 pounds . He will gain an average of 2 pounds each month until reaches his adult weight Which equation
    6·2 answers
  • Write an equation in slope intercept form given the following m = 5/4 and passing through (- 4, - 3)
    12·1 answer
  • 245 tickets in 5 days what is the unit rate
    14·2 answers
  • Solve for x<br><br>find AC<br>this is the last question I'm posting ​
    5·1 answer
  • What is 5 units from -6?
    8·2 answers
  • Eighteen students are members of the Science Club. This is 1/3 the number of students in the three sections of
    13·1 answer
  • Evan randomly selects 30 marbles from a bag. His data is given in the table.
    14·1 answer
  • 1. (5pts) Find the derivatives of the function using the definition of derivative.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!