Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92
where V is the volume of each sphere
Solving for V
V = 113.0973
The formula for the volume of the sphere is:
V = (4/3) π r³
Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³
Since V = 113.0937
113.0937 = (1/6) π D³
D = 6
<span>Therefore, the diameter is 6 inches </span>
Answer:
It will be Fourth of July in 7 weeks.
Step-by-step explanation:
Since you know that there are seven days in a week, you can use a rule of three to find the amount of weeks in 49 days that is the number of days until Fourth of July:
7 days → 1 week
49 days → x
x=(49*1)/7
x=7
According to this, the answer is that it will be Fourth of July in 7 weeks.
Answer:
173/3 feet per second
Step-by-step explanation:
So we know that jackrabbits can travel at 40 miles per hour, and we are trying find how fast they can travel in feet per second. To do this, we must first convert the 40 miles per hour into feet per hour:

So now we know that 40 miles per hour is equal to 211200 feet per hour. Now we have to convert feet per hour to feet per second. To do this, we must first find the feet per minute (60 min = 1 hr):

So now we know that 211200 feet per hour is equal to 3520 feet per minute. Now we have to convert feet per minute into feet per second (60 s = 1 min):

So now we know that 3520 feet per minute is equal to 173/3 feet per second.
Since 40 miles per hour equals 211200 feet per hour which equals 3520 feet per minute which equals 173/3 feet per second, 40 miles per hour equals 173/3 feet per second.
The jackrabbits can run at 173/3 feet per second.
I hope this helps. :)
Answer:
C -2.5<-3
Step-by-step explanation:
since -3 is lower counting wise with negatives the higher the negative the number the more likely its going to be lesser than the other
We are said that a rectangle has been transformed into the one indicated in Figure 1 according to this rule:

We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:
1. Clockwise
In this case, the rule to transform a point is:

This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:

2. Counterclockwise
Applying the same previous concept but with the new rules for this case:

By reversing the answer, we have:
