Step-by-step explanation:
option C is correct....
Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc
In this case:
a=15 cm
b=10 cm
c=5 cm
cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1
A=arc cos -1=180º This is impossible, because:
A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).
Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.
Write the problem as an equation:
5n <65
Solve for n by dividing both sides by 5:
n <13
Because the inequality does not contain an equal sign, n (13) is not included in the answer so there would be an open circle on the number 13
The correct answer would be A.
<h2><u>
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Answer:
I don't know for sure, but there are a bunch of different options. Here they are:
Step-by-step explanation:
1 + 39
2 + 38
3 + 37
4 + 36
5 + 35
6 + 34
7 + 33
8 + 32
9 + 31
10 + 30
11 + 29
12 + 28
13 + 27
14 + 26
15 + 25
16 + 24
17 + 23
18 + 22
19 + 21
20 + 20
Those are the options of how many volcanoes that they could have visited. They could have visited 23 volcanoes in Alaska and 17 in California. Who knows?
California only has 20 volcanoes, and Alaska has 40, so your answer will be one of these options. Hope this helps!
