Answer: the sand in the new terrarium is 2 inches deep.
Step-by-step explanation:
Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand. It means that the volume of sand that this terrarium contains is
20 × 8 × 3 = 480 inches³
Zach gets a new terrarium that is larger with the dimensions of 10 by 24. If Zach moved the existing sand in the new terrarium and the height of the sand is represented by h, then the volume of sand into he new terrarium is
10 × 24 × h = 240h
Since the volume of sand in both terrariums is equal, then
240h = 480
h = 480/240
h = 2 inches
Answer:
1130.97336 units^3
Step-by-step explanation:
The volume of a cylinder can be found using:
We have the area of the base, but not the radius
We know the area is 
, so we can substitute that in for a
We want to find r, so we need to isolate it
Divide both sides by pi
36=r^2
Take the square root of both sides
6=r
Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in
Solve the exponent
v=1130.97336
The volume is 1130.97336 units^3
Answer:
1/3
Step-by-step explanation:
The numbers are 1, 2, 3, 4, 5, and 6.
Both 3 and 6 are multiples of 3.
So, 2/6 is the probability since there is an equal change that the arrow will land on each section.
This simplifies to 1/3.
Brainliest, please :)
<span>A = 157, B = 23
The definition of supplementary angles is that they add up to 180 degrees. So A+B = 180. And A = 7B - 4.
So write down the formula
A + B = 180
Substitute the formula for A in terms of B
7B - 4 + B = 180
Combine terms
8B - 4 = 180
Add 4 to both sides
8B = 184
Divide both sides by 8
B = 23
Now calculate A in terms of B
A = 7B - 4
A = 7 * 23 - 4 = 161 - 4 = 157
Verify that A and B add up to 180
157 + 23 = 180</span>
