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SSSSS [86.1K]
3 years ago
14

Alana has a rope that is 28.8 meters long. She needs to cut the entire length of the rope into eight equal pieces. How many mete

rs long should each piece of rope be?
Mathematics
1 answer:
olga_2 [115]3 years ago
8 0
Answer: 3.6 m

Explanation:

28.8 ÷ 8 = 3.6 m
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Radicales simples ……….
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The expressions with radicals which are variables and numbers raised to a fractional indices are simplified as follows.

13. √(9·x)  = 3·√x

14. √(4·y) = 2·√y

15. √(8·x²) = 2·x·√2

16. √(9·x²) = 3·x

17. √(3·x²) = x·√3

18. √(5·y²) = y·√5

19. √(13·x²) = x·√(13)

20. √(29·y²) = y·√(29)

21. √(64·y²) = 8·y

22. √(125·a²) = 5·a·√5

23. ∛(16) = 2·∛2

24. √(50·a²·b) = 5·a·√(2·b)

<h3>What are radicals expressions?</h3>

A radical expression is one that contains the radical (square root or nth root) sign, √.

13. √(9·x)

√(9·x) = √(3²·x) = 3·√x

  • √(9·x)  = 3·√x

14. √(4·y)

√(4·y) = √(2²·y) = 2·√y

  • √(4·y) = 2·√y

15. √(8·x²)

√(8·x²) = √(4 × 2·x²) = √(2² × 2·x²)

√(2² × 2·x²) = √(2²·x² × 2) = 2·x·√2

  • √(8·x²) = 2·x·√2

16. √(9·x²)

√(9·x²) =  √(3²·x²) = 3·x

  • √(9·x²) = 3·x

17. √(3·x²)

  • √(3·x²) = x·√3

18. √(5·y²)

√5 × √(y²) = √5 × y = y·√5

  • √(5·y²) = y·√5

19. √(13·x²)

√(13·x²) = √(13) × √x² = √(13) × x = x·√(13)

  • √(13·x²) = x·√(13)

20. √(29·y²)

√(29·y²) = √(29) × √(y²) = √(29) × y = y·√(29)

  • √(29·y²) = y·√(29)

21. √(64·y²)

√(64·y²) = √(8²·y²) = √(8²) × √(y²) = 8 × y = 8·y

  • √(64·y²) = 8·y

22. √(125·a²)

√(125·a²) = √(25 × 5 × a²) = √(25) × √5 × √(a²) =  5 × √5 × a

5 × √5 × a  = 5·a·√5

  • √(125·a²) = 5·a·√5

23. ∛(16)

∛(16) = ∛(16) = ∛(8 × 2) =  ∛(2³ × 2) = 2·∛2

  • ∛(16) = 2·∛2

24. √(50·a²·b)

√(50·a²·b) = √(25 × 2 × a² × b) = √(5² × 2 × a² × b) = √(5² × a² × 2 × b)

√((5² × a²) × 2 × b) = 5·a·√(2·b)

  • √(50·a²·b) = 5·a·√(2·b)

Learn more about simplifying expressions with radicals here:

brainly.com/question/13114751

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5 0
1 year ago
What is the volume of the figure?
kaheart [24]

Answer:

The answer is C

Step-by-step explanation:

the volume equation is b*h*

the b= 2*8

the h= 3.

6 is the diagonal length of the side face which would be incorrect.

The answer would be 48. or C in the pic

3 0
3 years ago
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