Answer:
8∛4 ≈ 12.70 . . . . cm deep
Step-by-step explanation:
The ratio of volumes of similar cones is the cube of the ratio of their linear dimensions. That means the height of a cone with 1/2 the volume will be ...
∛(1/2)
times the height of the full cone.
The water will be ...
(16 cm)(∛(1/2)) = 8∛4 ≈ 12.70 . . . . cm deep
Answer:
Second and last options are correct answers.
Step-by-step explanation:
Correct options are:

3.122
The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.
Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK
This means MLJ = 31 degrees since they add up to 61 degrees.
Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.
3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL =

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.
Tan(angle) = opp/adj
Tan(31) = MJ/


Tan(31) = MJ
3.122 = MJ
Answer:
7
Step-by-step explanation:
Given the following :
7 heart stickers and 14 star stickers :
The greatest number of pages that can be decorated using the stickers above without any left over ;
To get this we obtain the greatest common factor of 7 and 14
Factors of 14
14 : 1, 2, 7, 14
Factors of 7
7 : 1, 7
The greatest factor common in both numbers is 7
Hence, greatest number of pages that can be decorated without any leftover is 7
When solving for a variable, you want to get it isolated (i.e. alone). Here are the steps to do this equation...
1. Given: kx-3=5
2. Add three to both sides to remove the -3, and this gives you kx=8
3. Since the x is being multiplied by k, you want to do the inverse and divide both sides by k, and this gives you x=8/k
So this means that your answer is D
If you need any further explanation, let me know :)