Answer:
Step-by-step explanation:
The volume of a cylinder, 
is given by the formula,
Where, 
is the radius and 
is the height of the cylinder.
Here, 
, 
. Plug in these values and solve for radius, .
This gives,
Taking square root both sides, we get
Therefore, the radius of the cylinder can be expressed as .
So 37 1/2
each can hold 2 1/2 oz
how many cups can he fill
37 1/2=75/2
2 1/2=5/2
x=number of cups
x times 5/2=75/2
5/2x=75/2
multiply both sides by 2
5x=75
divide both sides by 5
x=15
he can fill 15 cups
Answer:
78
Step-by-step explanation:
Given that:
First day (a) = 1
1 more pebble every subsequent day than the previous day
Tn = a + (n - 1)d
d = common difference ; difference between pebbles in two successive days = 1
n = nth day
At the end of the 12th day;
Tn = a + (n - 1)d
T(12) = 1 + (12 - 1) 1
T(12) = 1 + 11
T(12) = 12
Appling the sun if arithmetic progression formula : Sum of AP:
n/2 (a + Tn)
n = number of terms
12/2 (1 + 12)
6(13)
= 78
Answer: -4.25 ≤ x ≤ 6.25
Step-by-step explanation:
The midpoint of a segment is located at the same distance of each of the endpoints of the segment.
The midpoint is at x = 1.
The length of the segment is 10.5, if we divide it by two we have:
10.5/2 = 5.25
Now, if we want the endpoints to be at the same distance of the midpoint, then the endpoints will be:
Xmax = midpoint + 5.25
Xmin = midpoint - 5.25
Then the extremes are:
Xmax = 1 + 5.25 = 6.25
Xmin = 1 - 5.25 = -4.25
Then this segment can be written as:
Xmin ≤ x ≤ Xmax
-4.25 ≤ x ≤ 6.25
