See picture below for answer.
Answer:
x = 6
Step-by-step explanation:
Triangle BCD: cos(60) = x/BC => BC = x/cos(60)
Triangle ABC: sin(45) = BC/6√2 => BC = (6√2)sin(45)
so x/cos(60) = (6√2)sin(45)
x/(1/2) = (6√2)(√2/4)
x/2 = 12/4
x = 2(3)
x = 6
Answer:
5 dollars
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
first, you subtract 65 from 320 to cover the diagnostic check.
Then, you subtract 85 from the remaining cash three times and you'll get 0
Answer:
Step-by-step explanation:
so this question is about perpendicular lines. keep in mind that a perpendicular line has a reciprocal slope of opposite sign, from the line it's perpendicular to . :) okay so what is that line the robot is on, let's first
find the slope , m
m = (y2 - y1) / ( x2 - x1)
P1 = (8,6) in the form ( x1,y1)
P2= (-10,-5) in the form (x2,y2)
then
m = (-5-6) / (-10-8)
m = -11 / -18
m = 11/ 18
and then lets use the point-slope formula with the slope we just found and one of the given points, let's pick P1
y-6 = 11/18(x-8)
y = 11/18x - 88/18 + 6
y = 11/18x -88/18 + 108/18
y = 11/18x + 20/18
now let's take the reciprocal of the slope and change the sign, then we have
y = - 18/11x +20/18 ( coordinates robot can move on )
on the graph I'm attaching the green line is the one where the robot first moves, then the purple one.. is the one it turns 90 ° on to .