Answer:
15.4%
Step-by-step explanation:
Calculate the volume of both containers.
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
= π × 10² × 11 = 1100π ft³
= π × 7² × 19 = 931π ft³
Subtract volume of B from volume of A to find quantity left in A
quantity left in A = 1100π - 931π = 169π ft³
To calculate the percentage left in A after B has been filled
× 100%
= 
× 100%
= 
× 100%
= 15.4% ( to the nearest tenth )
Answer:
The following variable is categorical.
Step-by-step explanation:
Consider the provided information.
Categorical variables: It take the values of categories or labels and position an entity in one of more classes.
Quantitative variables: It take numerical values and represent a calculation of some kind.
Now consider the given scenario.
Teenagers with a question that asks ‘‘Do you eat at least five servings a day of fruits and vegetables?"
Here we have two categories i.e fruits and vegetables.
Therefore, the following variable is categorical.
Answer:
3, - 2, - 7, - 12, - 17, - 22
Step-by-step explanation:
To find the first 6 terms substitute n = 1, 2, 3, 4, 5 into the formula, that is
t(1 + 1) = t(1) - 5 ⇒ t(2) = 3 - 5 = - 2
t(2 + 1) = t(2) - 5 ⇒ t(3) = - 2 - 5 = - 7
t(3 + 1) = t(3) - 5 ⇒ t(4) = - 7 - 5 = - 12
t(4 + 1) = t(4) - 5 ⇒ t(5) = - 12 - 5 = - 17
t(5 + 1) = t(5) - 5 ⇒ t(6) = - 17 - 5 = - 22
When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:
1) Square all 3 sides.
4, 3, 4,
16, 9, 16
2) Sum the squares of the 2 shortest sides.
16 + 9 = 25
3) Compare this sum to the square of the 3rd side.
25 > 16
if sum > 3rd side² Acute Triangle
So, it is an acute triangle.
Source:
http://www.1728.org/triantest.htm
