I would say 3/10 because 6 and 20 can both be divided by 2 so 6/2 is 3 and 20/2 is 10 and they cant be reduced and farther so 3/10 would be my answer
Answer:
3
Step-by-step explanation:
these are 2 similar triangles (all 3 pairs of corresponding angles are equal in their pair, and the lengths of corresponding sides have the same ratio in every pair of corresponding sides and other lengths).
and they are also right-angled triangles.
so, what else do we know about them ?
PQ = 18
RT = 6
ST = QT + 9
therefore
QT = ST - 9
and
QR = QT + RT = ST - 9 + 6 = ST - 3
due to the principles of cumulative triangles
PQ/ST = QR/RT = 18/ST = (ST - 3)/6
108/ST = (ST - 3)
108 = (ST - 3)ST = ST² - 3ST
ST² - 3ST - 108 = 0
we can the write
x² - 3x - 108 = 0
and the solution for such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -3
c = -108
x = (3 ± sqrt(9 - 4×1×-108))/2 = (3 ± sqrt(441))/2 =
= (3 ± 21)/2
x1 = (3+21)/2 = 24/2 = 12
x2 = (3-21)/2 = -18/2 = -9
a negative solution for real lengths is not valid, so we know
x = ST = 12
so,
QR = ST - 3 = 12 - 3 = 9
and then
QT = QR - RT = 9 - 6 = 3
Answer:
10 hours and 20 minutes
Step-by-step explanation:
3am to 4am is 20 minutes
4am to 2pm is 10 hours
Answer:
- not linear
- somewhere between 184 and 186 (maybe)
Step-by-step explanation:
As you show, the weight differences are different for the same week differences, so the table is not linear. A graph (attached) can also show you the table is not linear.
__
The highest rate of weight loss shown in the table is 7 lbs in 3 weeks, or 4 2/3 pounds in 2 weeks. The lowest rate of weight loss shown in the table is 5 lbs in 3 weeks, or 3 1/3 pounds in 2 weeks. Based on the rates shown in the table, we might expect the starting weight to be between 3 1/3 and 4 2/3 pounds more than the first table value:
Week 0 weight: between 184 1/3 and 185 2/3 lbs, estimated.
_____
A "line of best fit" for the data has a y-intercept of about 185 pounds, which is the midpoint between our two estimates above.
Answer:
juice boxs cearal boxs and cargo can tarner
