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
sukhopar [10]
2 years ago
10

The design for a mural is 16 in. Wide and 9 in. High. What are the dimensions of the largest possible complete mural that can be

painted on a wall 24 ft wide by 14 ft high?
Mathematics
1 answer:
Alexandra [31]2 years ago
6 0

Answer:

Largest possible mural that can be painted on the wall is 24 feet wide and 13.5 feet high.

Step-by-step explanation:

Design of a mural is 16 in. wide and 9 in. high.

Dimensions of the wall are 24 ft by 14 ft.

If we enlarge the size of the design along the width the wall, scale factor to be used,

Scale factor = \frac{\text{Width of the wall}}{\text{Width of the design}}

                    = \frac{24}{16}

                    = \frac{3}{2}

With the same scale factor, height of the design will be,

\frac{3}{2}=\frac{\text{Height of the wall used}}{\text{Height of the design}}

\frac{3}{2}=\frac{\text{Height of the wall used}}{9}

Width of the wall used = \frac{3\times 9}{2}

                                     = 13.5 ft

Therefore, largest possible mural that can be painted on the wall is 24 feet wide and 13.5 feet high.  

You might be interested in
Jonathan wants to the new baseball game for his game console. The game costs $45.99. If sales tax is 6%, write an equation to fi
MrMuchimi

Answer:

45.99x.94=P

Step-by-step explanation:

6 0
3 years ago
Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,
kipiarov [429]

9514 1404 393

Answer:

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

  A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

  2 = (1 +r/n)^(nt)

  ln(2) = nt·ln(1+r/n)

  t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

__

For continuous compounding, the formula is ...

  A = Pe^(rt)

  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

__

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

5 0
2 years ago
Using your knowledge of inverse operations, what does 56 - 25 - 56 equal?
Ivan

Answer:

-25

Step-by-step explanation:

Using the commutative property of addition, we can rearrange the expression to 56-56-25. 56-56 = 0, so the answer is 0 - 25 = -25.

7 0
3 years ago
Read 2 more answers
The width of the rectangle is 7 feet, and the diagonal length of the rectangle is 16 feet. which measurement is the closest to t
yanalaym [24]

Answer: b. 14ft

Step-by-step explanation:

In the rectangle, the opposite sides are equal. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of both right angle triangles. The length and width represents the opposite and adjacent sides of the right angle triangles.

To determine the length, L of the rectangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

16² = L² + 7²

256 = L² + 49

L² = 256 - 49 = 207

L = √207

L = 14.38

the closest to the length of this rectangle in feet is

14ft

3 0
3 years ago
Read 2 more answers
Is 4 yards bigger than 13 feet
8_murik_8 [283]
1 yard = 3 feet

4 yards x 3 feet = 12 feet

12 feet is less than 13 feet


So False, 4 yards is <em>less than </em>13 feet

hope this helps
6 0
3 years ago
Read 2 more answers
Other questions:
  • From least to greates -4 3/7, -4 5/6, -5 3/7, 4 2/7, 5 1/7
    10·1 answer
  • Using the segment addition postulate, which is true?
    8·1 answer
  • The two rectangular prisms are similar.
    6·2 answers
  • Please please please heelp
    6·2 answers
  • Josh wants to buy 15 pounds of shrimp and 10 pounds of crawdads. He has 4 buckets that can each hold 6 pounds. How many pounds o
    14·2 answers
  • The sum of - 4 and twice a number.
    15·1 answer
  • F = 9/5C + 32 solve for f​
    6·1 answer
  • Plants are sold in three different sizes of tray. A small tray of 30 plants costs £6.50. A medium tray of 40 plants costs £8.95.
    5·1 answer
  • The total length of two ships is 1841 feet. The difference in their lengths is 13 feet. Find the length of each ship.
    14·1 answer
  • Find the area of the circle. Round your answer to the nearest hundredth. Use. 3.14 or 22/7 for pi. 10 inch
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!