Answer:
- rotation 90° CCW
- translation 2 units upward
Step-by-step explanation:
It can help to draw a diagram.
In the attached diagram, the red triangle (RST) is the original, the purple one (ABC) is after rotation CCW by 90°, and the blue one (R'S'T') is after that is translated upward 2 units. R'S'T' is the final position.
Since RS and R'S' are oriented 90° with respect to each other, clearly a CCW rotation of that amount is required. The trick is to figure out which direction the translation occurs.
The translation can be done before or after the rotation. If done before, it needs to be 2 units to the right (not a choice). If done after, it can be 2 units up, as in this drawing.
Answer:
r = 5 ft
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
We are given the circumference
10 *pi = 2 * pi *r
Divide each side by 2 *pi
10 pi/ 2 pi = 2*pi*r/2pi
5 =r
Answer:
$60
Step-by-step explanation:
This is because 400 times 0.03 is 12 and 12 times 5 is 60
Answer:(x-3)=-(y-5)=z
Step-by-step explanation:
Given
the point through which line passes is (3,5,0)
so we need a vector along the line to get the equation of line
It is given that line is perpendicular to both i+j & j+k
therefore their cross product will give us the vector perpendicular to both
v=(i+j)\times (j+k)=i-j+k
therefore we get direction vector of line so we can write
=t
i.e.
x=t+3,y=-t+5,z=t