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My name is Ann [436]
3 years ago
10

Please help me with this question!!

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

  1. rational
  2. irrational
  3. irrational
  4. irrational
  5. √7, it is irrational

Step-by-step explanation:

A <em>rational</em> number is one that can be expressed as the ratio of two integers. All fractions that have integer numerators and (non-zero) denominators are <em>rational</em> numbers. Any finite decimal number, or any repeating decimal number, is a rational number. These can always be expressed as the ratio of two integers. For example, 0.4040... = 40/99, and 0.286 = 286/1000.

To make an irrational sum, at least one of the contributors must be irrational. You want an irrational 2-number sum that has 7/8 as one of the contributors. Since 7/8 is rational, the other contributor must be irrational.

__

<u>Step 1</u>. The number 7/8 is <em>rational</em>.

<u>Step 2</u>. The desired sum is <em>irrational</em>.

<u>Step 3</u>. The rule <em>rational + </em><em>irrational</em><em> = irrational</em> applies.

<u>Step 4</u>. An <em>irrational</em> number must be chosen.

Step 5. √7 will produce an irrational sum, because <em>it is irrational</em>.

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Given that h = 2,

h + h = 2 + 2
h + h = 4

Answer: h = 4
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gtnhenbr [62]

9514 1404 393

Answer:

  • ornament area = 379.8 cm²
  • paint needed: 114 bottles

Step-by-step explanation:

The surface area of one cone with slant height s and radius r is ...

  SA = πr² +πrs = πr(r+s)

For the cone that is half an ornament, the surface area is ...

  SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²

The area of one ornament is the area of two cones:

  one ornament area = 2×189.9072 cm² ≈ 379.8 cm²

60 ornaments will be 120 cones, so will have a total surface area of ...

  total area = 120(189.9072 cm²) = 22,788.864 cm²

__

If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...

  (22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles

5 0
3 years ago
F(−2) = <br><br><br> ye whats the anwser
jeka94

Answer:

-2f

Step-by-step explanation:

7 0
3 years ago
Cindy is selling circus tickets. On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. On the s
Ivahew [28]

Answer: Children tickets cost 7.50

Adult tickets cost 12.50

Step-by-step explanation:

Let a represent adult tickets

Let c represent child tickets

On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:

6a + 5c = 112.50 ...... equation i

On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:

8a + 4c = 130 ....... equation ii

6a + 5c = 112.50 ...... equation i

8a + 4c = 130 ....... equation ii

Multiply equation i by 4

Multiply equation ii by 5

24a + 20c = 450 ........ equation iii

40a + 20c = 650 ......... equation iv

Subtract iii from iv

16a = 200

a = 200/16

a = 12.50

Adult tickets cost 12.50

From equation ii,

8a + 4c = 130

8(12.50) + 4c = 130

100 + 4c = 130

4c = 130 - 100

4c = 30

c = 30/4

c = 7.50

Children tickets cost 7.50

7 0
3 years ago
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