The parametric equations seem to describe a circle of radius 3. Its area will be
A = πr² = π·3²
The appropriate choice seems to be
D. 9π
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
Answer:
<u>Approximately there are 3,785.6 milliliters in one gallon </u>
Step-by-step explanation:
Let's find out how many milliliters are there in one gallon.
1 US Cup = 236.6 ml (actual equivalence)
Let's recall that:
16 US Cups = 1 US Gallon
Therefore,
1 US Gallon = 16 * 236.6 ml
1 US Gallon = 3,785.6 ml
<u>Approximately there are 3,785.6 milliliters in one gallon</u>
25% is equal to 
, so multiplying it by 4 gets 100%. This means we can multiply 10.5 by 4 to get 100% of the fiber the koala ate that day.
Answer:
All integers are rational numbers .
Step-by-step explanation:
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