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
Ratling [72]
3 years ago
10

A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig

ht sides furthermore the billboard should have a total area of 900ft^2 (including the margins) if x denotes the width in feet of the billboard find the function in the variable x giving the area of the printed region of the billboard
Mathematics
2 answers:
elixir [45]3 years ago
7 0

Answer:

The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is 9000 ft^2 then 9000=xy

Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)]  by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

& 9000=xy

& y=\frac{9000}{x} \\  & A=(x-10)(y-6) \\  & A=xy-6x-10y+60 \\  & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\  & A=9060-6x-\frac{9000}{x} \\

On taking the first order derivative of A

\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]

& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\          & 6{{x}^{2}}=90000 \\          & x=\sqrt{15000} \\          & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\

• Hence \[x=10\sqrt{150}\] and \[y=\frac{900}{\sqrt{150}}\]

Learn More about Differentiation Here:

brainly.com/question/13012860

natta225 [31]3 years ago
6 0

Answer:

aadfddd

Step-by-step explanation:

You might be interested in
Jackson bought 3 pounds of candy for $9.60.
Neporo4naja [7]

Answer:

320 cents per pound

or

$3.20 per pound

Step-by-step explanation:

Divide dollars by pounds

$9.60/3 = $3.20 per pound

Since it asks for the price of candy in cents per pound, multipy 3.20 by 100.

3.20 x 100 = 320 cents

320 cents per pound.

3 0
2 years ago
Read 2 more answers
The area of a rectangle is 600 m² the width is 30 m what is the length
Angelina_Jolie [31]

Answer:

20m

Step-by-step explanation:

600 divided by 30 = 20

7 0
2 years ago
If 6 workers can paint a house in 2 days; how
FinnZ [79.3K]

Answer:

0, because the house is already painted. If this isn't a riddle then, it should take 4 days because that is half the people, two times the workload per person.

6 0
3 years ago
Read 2 more answers
How do I <br> Divide. Write in simplest form
sladkih [1.3K]

Answer:

14/42

Step-by-step explanation:

Use the keep change flip strategy or butterfly multiply

6 0
3 years ago
a triangle has an area of 54 m2 and a height of 9m how long is the base of the triangle entered your answer in the box
Delvig [45]
Answer:
base of the triangle = 12 m

Explanation:
Area of the triangle = 1/2 * base * height
We are given that:
area = 54 m^2
height = 9 m

Substitute in the equation to get the base as follows:
Area of the triangle = 1/2 * base * height
54 = 1/2 * base * 9
108 = 9*base
base = 12 m

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Other questions:
  • The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ mea
    11·1 answer
  • What is the value of the expression 1/5 divided by 4
    9·2 answers
  • Quickly help me..!!!
    11·1 answer
  • I need help with my Geometry homework (picture attached).
    14·2 answers
  • A Tuesday
    15·2 answers
  • What is the simplified form of x+8/4-x+5/4
    9·2 answers
  • A traveling with thrill rides charges $9 for admission plus $1.50 for each ride you take. If you pay $19.50 total, how many ride
    8·1 answer
  • Which shows the equation y + 4 = 2(x – 1) written in standard form? –2x + y = –5 –2x + y = –6 y = 2x – 6 y = 2x – 5
    13·1 answer
  • Abe ate 1/6 of a small pizza. Aisha ate 1/8 of a small pizza. Who ate more?
    7·1 answer
  • If f(x) = 2x - 1, find f'(x).​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!