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
Virty [35]
3 years ago
5

A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the window

to allow in as much light as possible, if there are only 12 ft of the frame material available? Please find the height of the norman window
Mathematics
1 answer:
Ymorist [56]3 years ago
6 0

Answer:

1.68 ft

Step-by-step explanation:

Let x be the radius

Arc length = 3.14x

Width = 2x

Height = [12 - (2x) - 3.14x]/2

= 6 - 2.57x

Area = 3.14x²/2 + 2x(6 - 2.57x)

Area = 12x - 3.57x²

dA/dx = 12 - 7.14x = 0

x = 1.6806722689

Height = 6 - 2.57x

= 1.6806722689

You might be interested in
What is the unknown fraction?
daser333 [38]

Answer:

A. 31/100

Step-by-step explanation:

Change 3/10 to hundreds:

3/10 × 10/10 = 30/100

The denominator (the bottom number) must be 100.

61 - 30 is 31.

The missing number is 31/100. See image.

4 0
2 years ago
A fire truck parks 16 feet away from a building. The fire truck extends its ladder 30 feet to the very top of the building. How
Anvisha [2.4K]

Answer:

46 feet high!

Step-by-step explanation:

8 0
4 years ago
The next train will arrive in 32 minutes and 30 seconds. In how many seconds will the next train arrive? Enter your answer in th
34kurt

It will arrive in 1950 seconds

6 0
3 years ago
Read 2 more answers
If on a scale drawing 24 inches equals 10 ft. what does 1/8 inches equal
OLga [1]

Answer:

 \large\boxed{\large\boxed{(5/96)ft\approx 0.052ft}}

Explanation:

1. Use the scale ratio to set a proportion with the unknown lenght.

       24inches/10ft=(1/8)inches/x

2. To solve for x, use cross multiplication:

        24inches\times x=10ft\times(1/8)inches

3. Divide both sides by 24inches:

          x=10ft\times(1/8)inches\times (1/24inches)

4. Simplify:

          x=10ft/192=(5/96)ft\approx 0.052ft

6 0
4 years ago
Determine if the system of equations has one solution, no solution or infinitely many solutions.
Paraphin [41]

Answer:

x

=

0

y

=

−

2

Explanation:

simply subtract each term in the second equation from the first equation:

3

x

+

4

y

=

−

8

3

x

+

16

y

=

−

32

(

3

x

−

3

x

)

+

(

4

y

−

16

y

)

=

(

−

8

−

(

−

32

)

)

(

0

)

+

(

−

12

y

)

=

(

−

8

+

32

)

−

12

y

=

24

y

=

−

2

now use either original equation to solve for

x

:

3

x

+

4

y

=

−

8

3

x

+

4

(

−

2

)

=

−

8

3

x

−

8

=

−

8

3

x

=

0

x

=

0

6 0
3 years ago
Other questions:
  • Solve the equation on the interval [0, 2pi) <br><br> 2 cos^2 (theta/2) - 3 cos theta = 0
    13·1 answer
  • G how many distinct ordered arrangements of the letters of the word boogaboo can be made?
    15·1 answer
  • Each square root is between 2 consecutive integers. name the integers. explain all of these questions please. and please hurry
    15·1 answer
  • The expression 20z−8 factored using the GCF is
    11·2 answers
  • Out of the 3,000 books, 180 are non-fiction. The rest are fiction. What percent of the books are non-fiction
    10·2 answers
  • If I have 300 apples and eat 123 how many do I have left?
    14·2 answers
  • A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare
    13·2 answers
  • Item 18
    8·1 answer
  • I need help ASAP this is due in 30 minutes and I am confused
    5·2 answers
  • Can someone help me ?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!