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marishachu [46]
3 years ago
8

What figure can be made with exactly 420 squares?

Mathematics
1 answer:
Natali [406]3 years ago
4 0
5. The 5th figure will have 30 tiles.
6. The 6th figure will have 42 tiles.
7. The pattern is non-linear (quadratic).
8. The 20th figure can be made with 420 tiles.

_____
The Nth figure is made with n*(n+1) tiles. To answer question 8, you must solve
.. n(n +1) = 420
.. n^2 +n -420 = 0
.. (n +21)(n -20) = 0
.. n = 20 or -21 . . . . the negative solution is extraneous
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A wheel for a game is to be made by dividing a circular disk into six equal pie-shaped wedges and numbering them from 1 to 6. in
arlik [135]

Answer:

720

Step-by-step explanation:

For the first wedge, you have 6 numbers to choose from .

For the second wedge , you have 5 numbers to choose from . 

For the 3rd wedge , you have 4 numbers to choose from . 

For the 4th wedge , you have 3 numbers to choose from . 

For the 5th wedge , you have 2 numbers to choose from . 

For the 6th wedge , you have 1 number to choose from . 

Conclusion: this numbering can be done in:

6×5×4×3×2×1 = 720

Note :

Generally ,we write 6×5×4×3×2×1 as 6! and we read it 6 factorial.

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Answer: 29 weeks

Step-by-step explanation:

From the question, we are informed that Caroline bakes cookies in batches of 24 and that she bakes 3 batches of cookies per week. The amount of cookies baked per week will then be:

= 24 × 3

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The number of weeks that would take her to bake 2,088 cookies will be:

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VladimirAG [237]

Answer:

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Step-by-step explanation:

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