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
Leni [432]
3 years ago
12

Find the maximum value of

Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

(3, 1)

Step-by-step explanation:

Given the following constraints:

2x + 4y ≤ 10

x + 9y ≤ 12

x ≥ 0

y ≥ 0

We have to first graph the above constraints and secondly, we find the  boundary points for the feasible region. This is done by plotting the graphs of 2x + 4y ≤ 10  and x + 9y ≤ 12.

 From the graph, the following points satisfy the constraints:

(0,0) , (3,1) , (0,4/3) , (5,0)

Given that:

P = x + 6y

For (0, 0): P = x + 6y = 0 + 6(0) = 0

For (3, 1): P = x + 6y = 3 + 6(1) = 9

For (0, 4/3) P = x + 6y = 0 + 6(4/3) = 8

For (5, 0) P = x + 6y = 5 + 6(0) = 5

You might be interested in
Matrix, help.
attashe74 [19]

Answer:

i knew it but i forgot

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find the equation of a
Aliun [14]

Answer:

If your vertex is at the orgin you can't have a point on (6,0)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A hemisphere of radius 9 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the cen
ikadub [295]

Answer:

The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.

Step-by-step explanation:

Given that,

Radius = 9

According to figure,

Radius of cylinder = Radius of hemisphere

Center of cylinder base is also center of sphere.

Circular top of cylinder touching the top of hemisphere.

So, Height of cylinder = radius of hemisphere

h = r

h = 9\ unit

Hence, The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.

5 0
3 years ago
a sailmaker is designing a mainsail for a newly constructed sailboat. the mainsail foot is 13 feet long, the luff is 10 feet lon
Vikentia [17]
  • (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
  • (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

<h3>What exactly is sines law?</h3>
  • The law of sines refers to the ratio of a triangle's side length to the sine of the opposite angle, which is the same for all sides.
  • SinA/a = SinB/b = SinC/c
  • Where A, B, and C represent the triangle's angle and a,b, and c represent the opposite sides of the triangle's angle.

So, Part A:

By employing the sines law,

  • SinA/10 = SinB/13
  • SinA/10 = Sin50/13
  • A = 36.10
  • C = 180-(180-36.10)
  • C = 93.90

So,

  • Sin36.10 / a = Sin50/ b = Sin93.90/c
  • Sin36.10 / 10 = Sin50/ 13 = Sin93.90/c
  • c = Sin93.90 × 13 ÷ Sin50
  • c = 16.93 ft

Now, Part B:

Area of the mainsail:

  • = 1/2 × abSinC
  • = 1/2 × 10 × 13 × Sin93.90
  • =  64.85

Therefore, the answers to both parts are:

  • (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
  • (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

Know more about sines law here:

brainly.com/question/27174058

#SPJ4

The complete question is given below:

A sailmaker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 50° angle at the head with the leach.

Part A: Determine the length of the leach.

Part B: Find the area of the mainsail.

PLS HELP :) 50 POINTS!!!

6 0
1 year ago
Note: angles not necessarily drawn to scale.
Gala2k [10]

Angle AGD is a right angle which equals 90 degrees.

Angle FGD would be 90-73 = 17 degrees.

Angle X is a vertical angle to FGD, which means they are the same.

Angle X = 17 degrees.

3 0
3 years ago
Read 2 more answers
Other questions:
  • The upper quartile of a set of data is represented by which of the following?
    5·2 answers
  • Solve for z.<br> a(5 - 2) = bx – 8<br><br> x=
    8·2 answers
  • The number of hours that a nine month old baby sleeps at night are normally distributed with a population standard deviation of
    9·1 answer
  • True or False: Every number has a limited amount of factors, but an unlimited amount of multiples. ​
    13·2 answers
  • Does anyone know the answer???
    9·1 answer
  • 75 = 4(2)^x
    10·1 answer
  • 1. Parallelogram WXYZ is shown on the coordinate plane ect... <br><br> Added photo plz help!!
    5·1 answer
  • 2. Which of the following shows the correct area of the figure below rounded to the nearest hundredths place.​
    14·1 answer
  • Which answer is an equation in point-slope form for the given point and slope?
    6·1 answer
  • Plsssss i really need help owes
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!