Answer:
10. 1/9
11. 1 1/6
12. 1/8
Step-by-step explanation:
10.
He spent 2/3 of 1/6 of the day.
In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.
2/3 * 1/6 = 2/18 = 1/9
He spent 1/9 of the day adding mulch.
11.
He spent 2/3 of 1 3/4 hours.
In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.
2/3 * 1 3/4 = 2/3 * 7/4 = 14/12 = 7/6 = 1 1/6
He spent 1 1/6 hours working on the project.
12.
She planted 1/6 of 3/4 of the area.
In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.
1/6 * 3/4 = 3/24 = 1/8
She planted carrots in 1/8 of the garden.
H(t) = Ho +Vot - gt^2/2
Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2
H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2
Maximun height is at the vertex of the parabole
To find the vertex, first find the roots.
58.8 + 19.6t - 4.9t^2 = 0
Divide by 4.9
12 + 4t - t^2 = 0
Change sign and reorder
t^2 - 4t -12 = 0
Factor
(t - 6)(t + 2) =0 ==> t = 6 and t = -2.
The vertex is in the mid point between both roots
Find H(t) for: t = [6 - 2]/2 =4/2 = 2
Find H(t) for t = 2
H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4
Answer: the maximum height is 78.4 m
Answer:
I believe the answer is 9
Step-by-step explanation:
The most balloons she has is 180 and she can make 20 animals with that so 180/20=9
Answer:
Step-by-step explanation:
-Probability is the likelihood of an event occurring.
-The total number of events is:
-The total number of blue events is:
#Probability of a blue is thus calculated as:
Hence, the probability of choosing a blue marble at random is 37.5%
