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maksim [4K]
3 years ago
14

There are 4 people at a party. If each person must shake hands with every

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer: 6

Step-by-step explanation: So there is 4 people and lets say I'm one of them, so I shake hands with 3 people, that's 3 handshakes, then one of those 3 people shake hands with the other 2, that's 5 handshakes, and then the last 2 shake hands with each other since they haven't, so that's 1 more which means 6 handshakes.

Sorry if this is wrong.

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Find the HCF of 168 and 196.
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Answer:

The HCF of 168 & 196 is 28

Step-by-step explanation:

The factors of 168 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The factors of 196 are: 1, 2, 4, 7, 14, 28, 49, 98, 196

The highest factor that both 168 and 196 share is 28

Hope this helps :D

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Calculate the length b to two decimal places.
Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:        

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta

Upon substituting our given values in the formula we will get,

(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)  

(AC)^{2}=225+144-360\text{ cos}(106)      

(AC)^{2}=369-360(-0.275637355817)      

(AC)^{2}=369+99.22944809412    

(AC)^{2}=468.22944809412

Upon taking square root of both sides of our equation we will be get,

AC=\sqrt{468.22944809412}

AC=21.6386101238993629\approx 21.64  

Therefore, the length of b is 21.64 and option B is the correct choice.

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