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Rus_ich [418]
2 years ago
13

CAN ANYONE HELP ME SOLVE THIS?

Mathematics
1 answer:
777dan777 [17]2 years ago
8 0

Step-by-step explanation:

m/1 = ( 180 - 65 - 46 ) - 180

= 180 - 59 = 121

m/2 = 180 - 121 = 59

m/3 = ( 180 - 142 ) - 180

= 180 - 32 - 82

= 66

m/4 = 66

m/5 = 180 - m/2 - m/4

= 180 - 59 - 66

= 180 - 125 = 55

The sum of interior angles of triangles = 180°

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The graph shows the feasible region for the system with constraints:
Dimas [21]

Answer:

The vertices feasible region are (0 , 15) , (10 , 15) , (20 , 5)

The minimum value of the objective function C is 125

Step-by-step explanation:

* Lets look to the graph to answer the question

- There are 3 inequalities

# y ≤ 15 represented by horizontal line (purple line) and cut the

  y-axis at point (0 , 15)

# x + y ≤ 25 represented by a line (green line) and intersected the

  x-axis at point (25 , 0) and the y- axis at point (0 , 25)

# x + 2y ≥ 30 represented by a line (blue line) and intersected the

  x-axis at point (30 , 0) and the y-axis at point (0 , 15)

- The three lines intersect each other in three points

# The blue and purple lines intersected in point (0 , 15)

# The green and the purple lines intersected in point (10 , 15)

# The green and the blue lines intersected in point (20 , 5)

- The three lines bounded the feasible region

∴ The vertices feasible region are (0 , 15) , (10 , 15) , (20 , 5)

- To find the minimum value of the objective function C = 4x + 9y,

  substitute the three vertices of the feasible region in C and chose

  the least answer

∵ C = 4x + 9y

- Use point (0 , 15)

∴ C = 4(0) + 9(15) = 0 + 135 = 135

- Use point (10 , 15)

∴ C = 4(10) + 9(15) = 40 + 135 = 175

- Use point (20 , 5)

∴ C = 4(40) + 9(5) = 80 + 45 = 125

- From all answers the least value is 125

∴ The minimum value of the objective function C is 125

6 0
3 years ago
Read 2 more answers
Find the equation of the line perpendicular to 3x-7y=42 which passes through the point (-3,-8)
harkovskaia [24]
For perpendicular lines, m1m2 = -1 or m2 = -1/m1; where m1 and m2 are the slopes of the lines.
Here line 1 is 3x - 7y = 42
7y = 3x - 42
y = 3/7 x - 6; Hence m1 = 3/7
m2 = -1/(3/7) = -7/3
Required equation y - y1 = m2(x - x1)
y - (-8) = -7/3(x - (-3))
y + 8 = -7/3(x + 3)
y + 8 = -7/3 x - 7
y = -7/3 x - 7 - 8
y = -7/3 x - 15
4 0
3 years ago
Two number cubes with sides numbered 1-6 are rolled. What is the probability that the sum of the numbers on the cubes is 12?
Mrrafil [7]

Answer:

1/36

Step-by-step explanation:

Attached is a chart showing the 36 possible outcomes for rolling 2 number cubes.  The sum of the two cubes is 12 in only one of the outcomes (both sixes).  The probability is 1/36.

Download pdf
6 0
2 years ago
Write square root of 64 - square root of -289 as a complex number in the form of a+bi
stellarik [79]

Answer:

\sqrt{64}-\sqrt{-289}

=8-17i

Step-by-step explanation:

\sqrt{64}=8 because 8(8)=64 and 8 is the positive square root of 64.

\sqrt{-289}=17i because 17i(17i)=289i^2=-289(-1)=-289.

\sqrt{64}-\sqrt{-289}

8-17i

8 0
3 years ago
Select the correct answer.
valkas [14]

Answer:

  • <u><em>Option D. 0.50</em></u>

Explanation:

1. Two-way table:

                Calories per Day:

                1000 to 1500      1500 to 2000     2000 to 2500   Total

Weight

120 lb.               90                        80                        10                180

145 lb.               35                       143                        25               203

165 lb.                15                        27                        75                 117

Total                 140                     250                       110               500

2. Total number of persons

Look at the intersection of the totals for the columns and the rows: 500

3. Number of persons that consume 1,500 to 2,000 calories in a day

Look at the total for the column 1,500 to 2,000 calories per day: 250

4. Probability that a person consumes 1,500 to 2,000 calories in a day, P

  • P = number of persons that consume 1,500 to 2,000 calories / total number of persons

  • P = 250 / 500 = 0.50 ↔ option D.
6 0
3 years ago
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