Answer:
unit vector = -0.891i + 0.454j
Step-by-step explanation:
Given that;
magnitude of unit vector =
angle of 153° degrees from the x axis, with a positive y component
{ second quadrant }
so, x and y components of the vector are;
x component = 1 × cos(153°) = - 0.891
y component = 1 × sin(153°) = 0.454
⇒ -0.891i + 0.454j
Therefore, unit vector = -0.891i + 0.454j
Answer:
Alright angle b, d, and f are congruent to the 70 degree angle, or in other words the same. Subtract 70 from 180 and you get 110 or the sum of each remaining angles degrees. So angles a, c, g, and e are all 110 degrees.
Answer
a. The volume is multiplied by 4
b. The volume is doubled
Explanation
a. The volume of a cone with radius r and height h is
. If the radius is doubled, the new volume will be
, which is equal to
. This means that the volume is multiplied by 4.
b. The volume of a cone with radius r and height h is
. If the height is doubled, the new volume will be
, which is equal to
. This means that the volume is multiplied by 2.