Solve the
right triangle​

Using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

Linear programing problem is" a system of process of finding maximum or minimum value of any variables".

Inequalities is statement of an order relationship, "greater than or greater than or equal to, less than or less than or equal to between two numbers or algebraic expressions" .

According to the question,

Let 'x' represents the number of hours clearing tables and 'y' represents the number of hours clearing tables.

maximum of z =11x+8y

x + y ≤ 17             →     (1)

11x +8y ≥ 160      →       (2)

Using graphical method, we can solve this Linear programing problem(LPP).

In inequality(1) put x=0, we get y=17 and y=0, we get x=17 therefore in equation (1) we get (17,17) draw this point on graph.

In inequality(2) put x=0 we get y=20 and put y=0 we get x=14.54 from equation(2) we get (14.54,20) draw this point on graph.

To find maximum value of z solve this equation

x + y =17            →(3)

11x +8y =160      →(4),

multiply (3) by 8 we get, 8x+8y=136 and subtract the equation (3) from the equation (4)

11x+8y=160

8x+8y=136                               [multiply by(-) on both sides]

we get x=3 substitute this 'x' value in equation (3)

3+y=17

y = 14.

The maximum z = 11x+8y

                         z = 11(3)+8(14)               [substitute (3,14)]

       maximum z =145.

Hence, using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

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Step-by-step explanation:

I think it might be enough to help you.

Step-by-step explanation:

defensive behaviour Includes avoiding action,

avoiding blame, and avoiding

change

Answer:

31°

Step-by-step explanation:

<Y + <X = 180° [being co-interior angles ]

s + 91° + 2s - 4° = 180°

3s + 87° = 180°

3s = 180° - 87°

3s = 93°

s = 93° /3

s = 31°

Hope it will help you :)❤

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

Answer:

k = 10

Step-by-step explanation:

X progresses by 25, while y progresses by 250.

So divide 250 ÷ 15 and your answer is 10.

Answer:

600

Step-by-step explanation:

Answer:

Option A: 8 yards

Step-by-step explanation:

From the given graph, we have;

Coordinate of point A = (1, -4)

Coordinate of point B = (-3, 3)

Now,he threw baseball from point A to point B.

Distance between two coordinates is;

√((y2 - y1)² + (x2 - x1)²)

AB = √((3 - (-4))² + (-3 - (1))²)

AB = √(7² + (-4)²)

AB = √(49 + 16)

AB = √65 yards

AB = 8.06 yards

Approximating to a whole number gives;

AB ≈ 8 yards

Answer:

32

Step-by-step explanation:

24+40=64

64/2=32

hope this helps

have a great day! :)

Answer:

its a

Step-by-step explanation:

i guessed on edge lol

Answer:

Exact form: 32977/100

Decimal form: 829.77

Mixed number form: 829 77/100

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if one side is 9, another is C, based on the angle tilt would have to be 15.

Hope its helps.

Answer:

Step-by-step explanation:

No

Answer:

No, Picture it as fractions. 1:2 is the same as 1/2, and 1:3 the same as 1/3

Answer:

n must be less than or equal to 10

Step-by-step explanation:

Answer:

y=-5x-1

Step-by-step explanation:

If parallel lines, then the slope is the same.

y=-5x+b

To solve for b, plug in (-1,4)

(4)=-5(-1)+b

4=5+b

-1=b **Subtract 5 from both sides**

y=-5x-1

Answer:

This is a multiple step question. Before you can answer it you must find what it is asking, which is the highest rate for making money, or the greatest rate of change. To compare the rate of change between each grade, you must first have them in common units, which can be done by finding how much money was made by each grade in one hour. To find this, divide the number of dollars made by the number of hours it was made in to get how much was made in one hour. Doing this shows that the sixth grade made 34 dollars an hour (170 divided by 5), seventh made 28 dollars an hour (112/4), and the eighth grade made 32 dollars an hour (192/6). Then compare the numbers to see that the greatest amount earned in one hour was 34 dollars, by the sixth grade, which then becomes your answer: The sixth grade had the highest rate for raising money.

Answer:

$75

Step-by-step explanation:

(45 / 3) x 5 = 75

To find the amount of money for each t-shirt, divide 45 by 3.

45 / 3 = 15

To find out the price of 5 t-shirts, multiple 15 by 5.

15 x 5 = $75

$75 is your answer :)

Answer:

alright gotcha!

Step-by-step explanation:

I am attaching the photo gimme some time

Answer:

weight=660 pounds

volume=75 cubic feet

Step-by-step explanation:

44 × 15 = 660

5 × 15 = 75

The weight of 15 bags of garden soil is approximately 297.9 kilograms.The volume of 15 bags of garden soil is approximately 2.78 cubic yards.

To find the weight of 15 bags of garden soil in kilograms, we can use the conversion factor that 1 pound is equal to 0.45359237 kilograms.

Weight of 15 bags in kilograms = 44 pounds/bag * 15 bags * 0.45359237 kg/pound

Weight of 15 bags in kilograms ≈ 297.9 kilograms

Therefore, the weight of 15 bags of garden soil is approximately 297.9 kilograms.

To find the volume of 15 bags of garden soil in cubic yards, we need to first convert the volume of each bag from cubic feet to cubic yards. There are 3 feet in a yard, so 1 cubic yard is equal to 3 feet by 3 feet by 3 feet, which is 27 cubic feet.

Volume of 15 bags in cubic yards = (5 cubic feet/bag * 15 bags) / 27 cubic feet/yard

Volume of 15 bags in cubic yards ≈ 2.78 cubic yards

Therefore, the volume of 15 bags of garden soil is approximately 2.78 cubic yards.

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Answer:

He invested in stocks Say,  = x $

 He invested in bonds = (x/2)+6000

 So,

 x+ x/2 +6000=30000

 2x+x+12000=60000

 3x= 48000

x=16000

 Investment in stocks= 16000  $

Step-by-step explanation:

!!

Answer:

      $ 3 0 , 0 0 0  in Stocks

       $ 2 7 , 0 00  in Bonds

Step-by-step explanation:

        $ 3 0 , 0 0 0

      - $ 3 , 0 0 0

  _  _ _ _ _ _ _ _ _ _

         $ 2 7 , 0 0 0

Answer:

B

Step-by-step explanation:

1/25 = 0.04 only. this is surely the anwer

Answer:

Area of triangle = 15 square units

Step-by-step explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is: [tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))[/tex]

We have: [tex]x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5[/tex]

Putting values and finding area

[tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15[/tex]

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15

Answer:

72 (d)

Step-by-step explanation:

I did the math

Answer:

hope this helps, brainlist? (OwO)

Step-by-step explanation:

I think the answer is 27.89 feet, C

The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Lenght of the ladder = 32 foot

The angle formed between the ladder and the ground = 29.37°

The ladder, wall of the building, and the ground are making a right-angle triangle.

Let's suppose the base of the ladder is x feet far from the building.

Applying the Cos ratio to find the value of x:

[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]

x = 27.887 feet or     (Cos29.37°  = 0.871)

x = 27.89 feet

Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

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Answer:

the slope of this line is 1

Answer:

The slope of this line is 1

Answer: X = 12

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

27x+30x−17x=400+80

27x+30x+−17x=400+80

(27x+30x+−17x)=(400+80)(Combine Like Terms)

40x=480

40x=480

Step 2: Divide both sides by 40.

40x

40

=

480

40

x=12

Answer:

x=12

Answer: