Answer:
36
Step-by-step explanation:
Noticing that 216 = 6^3 and using (x^a)^b = x^ab
216^2/3 = (6^3)^2/3 = 6^3 times 2/3 = 6^2 = 36
Answer:
Use the Triangle exterior angle theorem. The definition of this theorem, is that the exterior angle you are solving for is the sum of the two opposite interior angles. Set the equation:
80 + x = 3x - 22
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract x and add 22 to both sides.
80 (+22) + x (-x) = 3x (-x) - 22 (+22)
80 + 22 = 3x - x
Simplify.
102 = 2x
Isolate the variable, x. Divide 2 from both sides.
(102)/2 = (2x)/2
x = 102/2
x = 51
Check. Plug in 51 to the equation given.
80 + x = 3x - 22
80 + (51) = 3(51) - 22
131 = 153 - 22
131 = 131 (True).
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Answer:
The cone's height is 9
Step-by-step explanation:
Recall that the volume of a cone is: , where 'h' is the cone's height, and "r" the radius of its base.
In our case, we know that the volume of the cone equals; .
We also know the diameter of the base (12), so the radius of the base must be half of this: 6
Now we replace all known values in the formula for the volume, and solve for the unknown "h':
Answer:
Im not entirely sure, but i believe its 3i+1
Step-by-step explanation:
(i+2i)+(4-3)=
3i + 1
(you collect the like terms, and add them up together! it's that simple!)
These tests are designed to better replacements for old versions of state tests because (as PARCC claims) they provide better information about students' skills and development to teachers and parents. In a nutshell, these examinations are meant to evaluate college and career readiness starting at a young age.