The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3
5/11 = 18/y
5 y = 18 · 11
5 y = 198
y = 198 : 5
y = 39.6
Recall that the direction of a vector can be seen from its slope, namely b/a.
let's take a peek at a couple of vectors, and multiply them by a scalar of 2.
hmmm say < 3 , 7 > , it has a slope of 7/3, now if we use a scalar of 2
2<3,7> => < 6 , 14 >, now, the slope of that is 14/6 which simplifies to, yeap, you guessed it, to 7/3, no change in the slope.
and say hmmmm < 11 , -2 >, slope of -2/11, let's multiply it by 2
2<11,-2> => <22 , -4 >, slope is -4/22 which simplifies to -2/11.
so, the vector's magnitude gets blown up, but the slope remains the same.
A. 36 inches is a yard because there are 12 inches in a foot and 3 feet in a yard, so 12 times 3 is 36.
