If volume of cube = 18 cm³
then each side of cube = ∛18cm³
≈ 2.6207
Volume of squared pyramid =
since the pyramid fits perfectly in the cube then that means that
there lengths and height are equal thus l² h = 18 cm³
∴ volume of pyramid = 18 cm³ ÷ 3
= 6 cm
Thus B
The part is 21 and the whole is 60
hope this helps. God bless
Answer:
c. 
Step-by-step explanation:
- When expanding and simplifying, we can see that the answer is
, which matches Answer Choice C.
9514 1404 393
Answer:
- h = -2; k = 0; vertex = (-2, 0)
- h = 3; k = 0; vertex = (3, 0)
Step-by-step explanation:
Translation of a function to the right h units and up k units is accomplished by ...
g(x) = f(x -h) +k
Here, we have f(x) = |x|, so the translation will be ...
g(x) = |x -h| +k
or ...
y = |x -h| +k
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The function y = |x| has its vertex at (0, 0), so translation by (h, k) moves the vertex to (0 +h, 0 +k) = (h, k).
__
You will notice that the given equations you are given have no "+k" added on, so k = 0 in both cases. The value of h is the opposite of the constant between the absolute value bars.
1. y = |x +2|
h = -2, k = 0
vertex: (-2, 0)
__
2. y = |x -3|
h = 3, k = 0
vertex: (3, 0)
_____
<em>Additional comment</em>
This is all about <em>matching patterns</em>. You need to be able to identify the variable (x) and what has been added or subtracted to/from it. You need to be able to identify the "parent" function (what you have with nothing added or subtracted), and determine if something is added or subtracted to to/from that. Here, the parent function is |x|. Nothing has been added to the function (outside the absolute value bars), but something has been added to x (inside the absolute value bars).
1 / cos^2 O - 3 / cos O - 2 = 0
1 - 3 cos O - 2 cos^2 O = 0
2 cos^2 O + 3 cos O - 1 = 0
cos O = 0.2807 , -1.78 ( -1.78 cannot be a solution)
O = 74 degrees (from 0.2807) another solution is 360-74 = 286 degrees
Its D
