The answer should be 3 hours and 45 minutes if i did the math in my head correctly
<h3>
Answer: B) 43, 133, 89</h3>
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Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is <u>not</u> larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
If any of those three are false, then we cannot make a triangle with side lengths p,q,r
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Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
- p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.
- p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.
- q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.
All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
3x<3+4x<2
3x-3<4x<-1
-3<x<-1
Ok, if you want to find out the range of the hours they play, here it is:
Since the number of hours for Bonnie are 4, 5, 4, 3, 3, 5, the range should be 3, 4, 5, which makes the range 3.
Since the number of hours for Adele are 5, 5, 9, 8, 8, 7, the range should be 5, 7, 8, 9, which makes the range 4.
Which means Adele's range is bigger than Bonnie's!
Hope this helped! c:
Answer:
4^3
Step-by-step explanation:
4×4×4
Multiply 4 and 4 to get 16.
16×4
Multiply 16 and 4 to get 64.
64=4^3
