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neonofarm [45]
2 years ago
7

Fill in the blanks in each rule.

Mathematics
1 answer:
Romashka [77]2 years ago
3 0

The ratio of their surface areas will be a²/b². And the ratio of their volumes a³/b³.

<h3>What are the surface area and the volume of an object?</h3>

The size is the amount of space covered by a two-dimensional hard surface.

The volume of an element or compound is the sufficient space it takes up, calculated in cubic units.

1.  The ratio of the surface area of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their surface areas will be a²/b².

2.  The ratio of the volume of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their volumes a³/b³.

More about the surface area and the volume link is given below.

brainly.com/question/15585435

#SPJ1

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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
Starting at sea level a submarine rate to depth of -3/4 mile relative to sea level in 5 minutes. What was the submarine depth to
fgiga [73]
This you would have to do a proportion

5 0
3 years ago
Please help me solve this equation and show the work show me how you got the answer
Nesterboy [21]

Answer: k=3

Step-by-step explanation:

To solve for k, you want to isolate k.

\frac{2}{5} (5k+35)-8=12            [add both sides by 8]

\frac{2}{5} (5k+35)=20                  [multiply both sides by 5/2]

5k+35=50                       [subtract both sides by 35]

5k=15                               [divide both sides by 5]

k=3

Now, we know that k=3.

7 0
3 years ago
Please help solve this question​
Rasek [7]

95141 1404 393

Answer:

  • arc BC: 8.55 cm
  • chord BC: 8.03 cm

Step-by-step explanation:

The length of an arc that subtends central angle α will be ...

  s = rα . . . . where α is in radians

The central angle BOC is twice the measure of angle QBC, so is 70°, or 7π/18 radians. So, the length of arc BC is ...

  s = (7 cm)(7π/18) ≈ 8.55 cm . . . arc BC

__

For central angle α and radius r, the chord subtending the arc is ...

  c = 2r·sin(α/2)

  c = 2(7 cm)sin(35°) ≈ 8.03 cm . . . . chord AB

5 0
3 years ago
Draw a number line that represents 7+(-4).
tekilochka [14]
You start from negative 7 in number line and you go left 4
3 0
3 years ago
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