Answer:
a graph theory is the study of graphs in mathematics
It's C .............................................
41.2 cm
Step-by-step explanation:
subtract the y's and x's to get the distances
left & right sides are hypotenuses
top :
10 - (-2) = 12
bottom :
5 - (-7) = 12
left :
3 - (-4) = 7 = height
-7 -(-2) = -5 = 5 = base
pythagorean theorem
49 + 25 = 74
square root of 74 = 8.6
right :
same
perimeter :
12 + 12 + 8.6 + 8.6 = 41.2
Answer:
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
Step-by-step explanation:
Given that Antonina needs to have worked at least 90 volunteer hours to graduate means that she needs to volunteer either for 90 hours or more than that . Mathematically this can be written as
Total volunteer hours required to graduate greater than or equal to 90
Total volunteer hours required to graduate>= 90
No. of hours already volunteered = 52
no. of hours left for volunteering = Total volunteer hours required to graduate - No. of hours already volunteered = 90 - 52 = 38
No. of hours in one week she can dedicate for volunteering= 3
if w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours
then total volunteer hours dedicated in w weeks will be = w*No. of hours in one week she can dedicate for volunteering = w*3 = 3w
Thus,
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
