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Diano4ka-milaya [45]
2 years ago
15

How many subsets of five elements each can be made from a set of seven elements?

Mathematics
1 answer:
Alina [70]2 years ago
8 0
<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula. The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get: 7! / (5!*2!) = 7*6 / 2 = 21 21 subsets can be created</span>
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The box plots show the target heart rates of men 20-40 years old and men 50-70 years old.
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Answer: D

Step-by-step explanation:

The range for the thing is greater

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Sever21 [200]

Answer:

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3 0
3 years ago
Post assessment
lions [1.4K]
1. D
2. E
3. B
4. Pentagon
5. C
3 0
3 years ago
Pls help me this is 7th grade math
Ymorist [56]

Answer:

118 degrees

Step-by-step explanation:

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8 0
2 years ago
Am I right?? <br> * Show examples &amp; details if I am wrong!! *
baherus [9]

Yes, you are correct.

From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.

All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).

We can gather the following information from the given information.

  • The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
  • The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9

We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:

12/x = x/9

Using the cross product property gives us:

x² = 9 × 12

x² = 108

Taking the square root of both sides gives us:

x = √108

= 6 √3

Thus, your answer is correct. Great job!

Let me know if you need any clarifications, thanks!

8 0
3 years ago
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