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Anni [7]
3 years ago
13

Find m>X 21.04 22.62 67.38 68.96

Mathematics
1 answer:
valina [46]3 years ago
4 0

Answer:

67.38 degrees

Step-by-step explanation:

Here, we want to find the value of the angle at X

We are going to use the appropriate trigonometric ratio here

From the question, the vertex X faces the side 12 and that makes the side the opposite

The side 13 faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects both is the sine

so we have that;

sine X = 12/13

X = arc sin (12/13)

X = 67.38

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Answer:

the answer is

129

Step-by-step explanation:

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3 years ago
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Answer:

5. 43 / 6

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4. 1.5

Step-by-step explanation:

5. Conversion a mixed number to a improper fraction: 9 2/3 = 9 · 3 + 2 /3 = 29/3

Conversion a mixed number to a improper fraction: 2 1/2 = 2 · 2 + 1 /2 = 5/2

Subtract: 29/3 - 5/2 = 29 · 2 / 3 · 2 - 5 · 3 / 2 · 3 = 58 / 6 - 15 / 6 = 58 - 15 / 6 = 43 / 6

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2 years ago
Find the number of ways to distribute six different toys to three different children such that each child gets at least one toy.
Lisa [10]

Answer:

Step-by-step explanation:

Given that there are six different toys and they are to be distributed to three different children.

The restraint here is each child gets atleast one toy.

Let us consider the situation as this.

Since each child has to get atleast one toy no of ways to distribute

any 3 toys to the three children each.  This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways

So 3 toys to each one in 6x5x4 =120 ways

Now remaining 3 toys can be given to any child.

Hence remaining 3 toys can be distributed in 3x3x3 =27 ways

Total no of ways

= 120(27)

= 3240

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