Answer:
2 Years, 9 Months, 3 Weeks, 5 Days and 1 Hour
Step-by-step explanation:
2,798.5 miles from L.A. to New York, an ant travels at 3 inches a second, we multiply 3 by 60 to get 120 inches a minute convert that into feet to get 10 feet, now multiply that by another 60 to get 600 feet an hour now multiply 600 by 24 to get 14,400 feet a day convert that into miles to get 2.72 miles a day now take 2.72 miles and divide that by the distance between the 2 cities to get about 1030 days, now if we put that into years, months, weeks, days and hours we get 2 Years, 9 Months, 3 Weeks, 5 Days and 1 Hour
Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
Answer:
I think it is the 3rd one
So this is read as 23 degrees, 20 minutes, and 48 seconds. Each degree has 60 minutes and each minute has 60 seconds, somewhat like time. You must start from right to left for this to work. This may seem complicated but the way to find this is as follows:
23+(20+(48/60))/60. A simpler way to see this is by first taking 48/60 which is .8. Now you take 20+.8 which is 20.8 and you divide it by 60 once more. This comes out to be approximately .35. Now you have converted the seconds and minutes to degrees so you add 23+.35 which is 23.35. Therefore your answer is 23.35 degrees.