Answer:
a = 1.5
VW = 9 ft
Step-by-step explanation:
Since the tangent lines connect both circles, we know that the line VU and VX are congruent (equal). Thus, we can set them equal to each other and solve for a:
a + 4 = a² + 0.25 Set equal
a² - a = 3.75 Isolate a values
a² - a + 0.25 = 3.75 + 0.25 Complete the square
(a + 0.5)² = 4 Factor
a + 0.5 = 2 Simplify
a = 1.5
Now we need to calculate VW, but thats easy because its equal to TV, and since we know a, we can just plug it in:
((1.5) + 7.5) ft
9 ft
Two possible numbers that might have a GCF common factor of 5 are 10 and 15, as well as 25. 5 is also the greatest common factor of itself.
So your numbers are : 5, 10, 15, and 25.
Negative linear association is like inverse variation or a negative slope
we got
s=-0.5t+3.6
3.6 is the value of s when t=0
that means when they spent 0 hours watching tv, they spend 3.6 hours doing homework
that could mean that they have 3.6 free hours to do homework or watch tv
Answer:
0.6 = 60% probability that he or she studies on a weeknight.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Probability A: Probability of a student studying on weeknights.
Probability B: Probability of a student studying on weekends.
Forty-two percent of students said they study on weeknights and weekends
This means that 
47% said they studied on weekends
This means that 
65% said they study either on weeknights or weekends.
This is 
If you were to pick one student at random, what is the probability that he or she studies on a weeknight?
This is P(A), and the equation used is:
Considering the values we have:
0.6 = 60% probability that he or she studies on a weeknight.
700 + 82 = 782
Since 782 is greater than or equal to 750, it can be rounded to 800.
