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BigorU [14]
3 years ago
15

MAY SOMEONE HELP PLZ!

Mathematics
2 answers:
JulijaS [17]3 years ago
6 0

Answer:

First pic

ratio =  \frac{62.8}{2 0}  \\  = 3.14

Second pic

< c  + 2x + (3x + 10) = 180 \\  < c = 180 - 3x - 10 - 2x \\  < c = 170 - 5x

Kruka [31]3 years ago
3 0

Answer:

Step-by-step explanation:

<h3>#1</h3>

<u>Circumference equation:</u>

  • C = πd

<u>Circumference to diameter ratio is:</u>

  • C/d = π = 3.14
  • Same result comes from the table
  • Correct choice is B
<h3>#2</h3>

<u>Sum of angles of a triangle is 180°</u>

  • m∠A + m∠B + m∠C = 180°

<u>A and C are equal angles as opposite sides are congruent.</u>

  • 2(3x + 10) + 2x = 180
  • 6x + 20 + 2x = 180
  • 8x = 160
  • x = 20
  • m∠C = 3*20 + 10 = 70°

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Which of these tables represents a non-linear function?
olchik [2.2K]

Answer:

we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

Step-by-step explanation:

The nature of whether a function can be linear or non-linear, we must check how the x and y values of the table change. If the first difference between y-values remains the same (constant first difference), then the table will represent a linear function, otherwise not.

Given the x and y entries of the first table:

x            y

17           20

18           19

19           18

20          17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. 19-20=-1, 18-19=-1, 17-18=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          -16

18          -17

19           -18

20          -19

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -17-(-16)=-1, -18-(-17)=-1, -19-(-18)=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          16

18          17

19           19

20          20

From the table, it is clear that as x constantly increases by 1 unit, but the y-values are not changing constantly. The first difference between y-values does not remain the same.

i.e. 17- 16 = 1, 19 - 17 = 2, 20 - 19 = 1

Thus, this table does not represent a linear function. Hence, it is a non-linear function.

Given the x and y entries of the second table:

x            y

17          -20

18          -19

19           -18

20          -17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -19-(-20)=1, -18-(-19)=1, -17-(-18)=1

Thus, this table represents a linear function.

Therefore, we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

4 0
3 years ago
Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th
Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?  

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / \frac{5}{2}m / $600

In this question cost of the large fridge is 3 times as much as the regular fridge.

Area of the base of regular fridge = 1m²

Height of the regular fridge = 2m

So volume of this fridge = 1×2 = 2m³

Area of the base of the large fridge = 2m²

Height of the large fridge = \frac{5}{2}m

Volume of the large fridge = \frac{5\times 2}{2} = 5m³

Ratio of the volumes of the large and regular fridge = \frac{5}{2}=2.5:1

Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.

3 0
3 years ago
Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle. Draw a picture to re
Anon25 [30]

Answer:

The angles are 26 and 64

Step-by-step explanation:

When two angles are complementary, what this means is that the add up to 90 degrees

Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12

Since they add up to be 90, we have

x + 2x + 12 = 90

3x + 12 = 90

3x = 90-12

3x = 78

x = 78/3

x = 26

The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64

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3 years ago
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VikaD [51]

Answer:

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Step-by-step explanation:

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2 years ago
Marisa has 2 pennies, 4 nickels, and 5 dimes in her pocket. How many different arrangements are possible if she removes one coin
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3 years ago
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