The longest side in the triangle is opposite to the largest angle of this triangle. If triangle is acute, then all angles are acute. Acute angle has cosine that is positive.
Use cosine theorem to determine the cosine of the largest angle:
where 
is the largest angle.
Then
Since 
then
Divide this inequality by 5:
Note that 
then the smallest possible whole-number value of x is 7.
Answer: correct choice is B
The cost of the bench b=$29
There is $4 off on the bench
That would make it b=29-4, hence the option C
Answer: 10 : 9
Step-by-step explanation:
GIVEN
20 girls tried out
18 boys tried out
----------------------------------------------
The final ratio should be girl to boy
girl to boy
=20 : 18
=10 : 9 ⇔ divide 2 on both sides (simplify the ratio)
Hope this helps!! :)
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Answer:
153.86
Step-by-step explanation:
Area of a circle = πr². where π =3.14, 3.14×7² =3.14×49= 153.86
Answer:
0.9451
Step-by-step explanation:
Remaining question? <em>"How is the result affected by the additional information that the survey subjects volunteered torespond?"</em>
Probability that at least 1 user is more careful about personal information when using a public Wi-Fi hot spot is:
P(X≥1) = 1 − P(X<1)
= 1 − P(X=0)
= 1 - [(3,0) (0.62)^0 (1-0.62)^3-0
= 1 - 0.054872
= 0.945128
= 0.9451
Thus, the probability that among three randomly selected Internet users; at least one is more careful about personal information when using a public Wi-Fi hotspot is 0.9451
