If each person got 1/6 then there is still 2/6 left over, =1/3. In fraction strips, we would do
1
1/3 1/3 1/3 1/3
1/6 1/6 1/6 1/6 1/6 1/6 for the overall tomato and then 1/6 1/6 for the remaining piece of the tomato.
Hope this helps, if you need any more help just comment :)
Y-y1=m(x-x1)
find slope
(y2-y1)/(x2-x1)
so
(-4,-1)
(3,-3)
slope=(-3-(-1))/(3-(-4))=(-3+1)/(3+4)=-2/7
y-(-1)=-2/7(x-(-4))
y+1=-2/7(x+4)
Answer:
x=3
Step-by-step explanation:
Proportions are very simple once you get the hang of them! What you do is cross multiple. :)
1. x/8=5/16
You first start by multiplying x and 16
Then multiply 5 and 8
So now you have 16x=40
Finally divide 16 from each side
You get: x+0.4!
2. 5/12=15/x
Remember to cross-multiply!
Now we have 5x=180
Next divide 5 from each side
You get: x=36!
From the astronaut to the horizon is a tangent line to the curvature of the earth. And from that point on the horizon to the center of the earth is at a right angle to the tangent and is equal to the radius of the earth...so we can say
cosα=r/(r+h) where r is the radius of the earth and h is the height above the surface of the earth...
α=arccos(r/(r+h))
now tanα=d/r where d is the distance from the astronaut to the point on the horizon so:
tan(arccos(r/(r+h))=d/r
d=rtan(arccos(r/(r+h))) and using r≈4000 and h=50 we get:
d=4000tan(arccos(4000/(4050)))
d≈634.42mi
d≈634 mi (to nearest mile)
