The space between the two spheres will be the volume of the larger sphere minus the volume of the smaller sphere. Given that the volume of any sphere is:
V=(4πr^3)/3 The space between to sphere of different radius and positioned about the same center is:
S=(4πR^3)/3-(4πr^3)/3 I used S=volume of space, R=larger radius and r=smaller radius...
S=(4π/3)(R^3-r^3), we are told that R=5 and r=4 so
S=(4π/3)(5^3-4^3)
S=(4π/3)(125-64)
S=(4π/3)(61)
S=244π/61
S=4π cm^3
S≈12.57 cm^3 (to nearest hundredth of a ml)
<u>C. 42 units</u>
Step-by-step explanation:
I have attached a diagram to help you understand this problem. By looking at the diagram you can see that AE is half of BD, and that BD will be equal to AC. So we need to figure out the length of line BD to get AC.
To do this, you will multiply the length of AE by 2 and set it equal to BD.

Then distribute, multiply what is in the parentheses by 2.

Subtract 4x from both sides.

Subtract 2 from both sides.

x = 8
Now that we have x, we can plug it into the equation to find BD.

BD is equal to 42 units, so we know...
<u><em>AC = 42 units</em></u>
Initially there were 6 tiles with pictures of plants and 3 tiles with pictures of animals.
She removes one tile with the picture of a plant, so now there are 5 tiles with pictures of plants and 3 tiles with pictures of animals. There are 5+3=8 tiles in total.
The probability that the second tile has a plant on it is the number of tiles with pictures of plants (5) divided by the total number of tiles (8).
The probability is

.
Assuming this is the same test I just took, the answer would be 19.
Answer:
Simplifying
Result: 18x - 12y
Step-by-step explanation:
I believe you simplify the expression, by using -2, the number outside the bracket, to multiply with the numbers within the bracket.
-2 x -9x = 18x
-2 x 6y = -12y