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ollegr [7]
3 years ago
15

Which inequality is true? Use the number line to help.

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

The only true inequality is <u>-3 1/2 > -4.5</u>

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Find the circumference of this figure. Show your calculations.
solong [7]

Answer:

Circumference of circle= 37.68 units

Circumference of sector= 6.28 units

Step-by-step explanation:

The given figure is a circle with given radius OB= 6 units.

The circumference of a circle is the total length of its boundary.

For the complete circle its circumference can be calculated by;

           Circumference= 2\pi r

                                 =2*3.14*6\\=37.68 units

For the circumference of the Sector with 60° in the figure, the circumference can be calculate by:

                              =\frac{60}{360}* 2*\pi*6\\\\=\frac{1}{6}*12*3.14\\\\ =2*3.14\\\\=6.28 units

So, the circumference of the full circle is 37.68 units and the circumference of the sector is 6.28 units.

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3 years ago
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2 years ago
Find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)​
Hunter-Best [27]

Answer:

4!

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).  

For odd positions we can put 3-M's & a X. Total ways is 4!/3!   (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.  

24=4!.

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Step-by-step explanation:

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