198 x 0.05 = 9.9
198 - 9.9 = 188.1
188.1 x 0.07 = 13.167
188.1 + 13.167 = 201.267
He weighs 201.3 pounds if you round it.
Answer:
Step-by-step explanation:
I hope this helps☺
Using the Law of Sines, sina/A=sinb/B=sinc/C (although there are other ways considering that this is a 30, 60, 90 degree triangle with a basic identity) we can say:
97/sin60=x/sin30=y/sin90
x=97sin30/sin60 and y=97sin90/sin60
The total height of the tree is h=x+y so
h=97sin30/sin60 + 97sin90/sin60
h≈168.01 ft (to the nearest hundredth of a foot)
h≈168 ft (to nearest foot)
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)
Answer: 2 can go into 120 60 times.
Step-by-step explanation:
120/2 = 60
