Answer:
x=3
Step-by-step explanation:
-8x-(8x)=-48
-8x-8x=-48
Collect like terms
-16x=-48
Divide both sides by-16
x=3
So if 1 person shakes the other 179 people in the meeting then you would multiply 180 times 179 which would equal 32,220 handshakes
Answer:$ 10.01 would be the difference
Step-by-step explanation:
99.99
- 89.98
-------------
10.01
Answer: First option: 800 feet
Solution:
Height: h=400 sqrt(3)
Distance between the zoo and the point in the ground below the helicopter: d1=?
Distance between the library and the point in the ground below the helicopter: d2=?
Distance between the zoo and the library: d=?
d=d2-d1
tan 60°= h/d1
sqrt(3)=400 sqrt(3) / d1
Solving for d1:
sqrt(3) d1 = 400 sqrt(3)
d1= 400 sqrt(3) / sqrt(3)
d1=400
tan 30°= h/d2
sqrt(3) / 3=400 sqrt(3) / d2
Solving for d2: Cross multiplication:
sqrt(3) d2 = 3 [ 400 sqrt(3) ]
sqrt(3) d2 = 1,200 sqrt(3)
d2= 1,200 sqrt(3) / sqrt(3)
d2=1,200
d=d2-d1
d=1,200 feet - 400 feet
d=800 feet
