9514 1404 393
Answer:
D. 640 m³
Step-by-step explanation:
The height CD of the cone is found using the Pythagorean theorem.
BC² + CD² = BD²
8² + CD² = 17²
CD = √(289 -64) = 15
The volume of the cylinder is ...
V = πr²h
The volume of the cone is ...
V = 1/3πr²h
So, the portion of the cylinder not occupied by the cone is ...
V = (πr²h) -(1/3πr²h) = (2/3)πr²h
V = 2/3(π)(8 m)²(15 m) = 640π m² . . . . . matches choice D
Answer: <span>rotation and dilation.
While rotation only rotates (obviously) the figure, dilation preserves the shape of the figure (that is, preserves the angles) but changes the distances: it makes the figure smaller.
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The other 2 sequences of transformations only change the position of the figure, but the angles and distances remain intact.
Answer:
Option A 
Step-by-step explanation:
we know that
Solve for sin(A)
we have
substitute
Answer:
x=10
Step-by-step explanation:
3x-5=1/2x+2x
3x-5=1/2x+4/2x
3x-5=5/2x
3x-5/2x=5
6/2x-5/2x=5
1/2x=5
x=5/(1/2)
x=(5/1)(2/1)
x=10/1
x=10
Answer:
c. 6.2i - 4.2j
Step-by-step explanation:
The vector projection when the angle θ not known can be calculated using the following property of the dot product:
Where the dot product of two vectors is given by:
And the magnitude of a vector is given by:
Using the previous definition, let's calculate the projection of w onto u:
First let's calculate the dot product between w and u:
Now let's find the magnitude of u:
So:
Therefore:
