Answer:
Hence as long as x > 2/3, we can form a triangle from the three given sides.
Step-by-step explanation:
Given:
Length of 3 sides of triangle are 
Solution:
From the length of the 2nd side 4x, we know that x > 0
Let this be 1 st statement.
Now from the triangle inequality we can say that;
No new information from this because of the 1st statement above.
Also,
Lastly,
and again no new information is obtained from this inequality.
Hence as long as x > 2/3, we can form a triangle from the three given sides.
Answer:
(A) spinning red
(B) picking blue
Step-by-step explanation:
There are 9 sections to the spinner, so the probabilities of spinning the colors of interest are ...
red: 3/9 = 1/3
blue: 4/9
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There are 12 balls in the bag, so the probabilities of picking the colors of interest are ...
blue: 4/12 = 1/3
red: 5/12
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We note that the numbers that are the same on these lists are 1/3 for spinning red and picking blue. We also note that point A on the number line is located at about 1/3 (more than 1/4, less than 3/8).
The events that can be modeled by point A on the number line are ...
- spinning red
- picking a blue ball
7 yd is the diameter, so just divide 7 by 2 to get the radius which is 3.5 yd
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