Answer:
They are the same
Step-by-step explanation:
20g = 0.02kg
Answer: 5 km walking and 30 km by bus
Step-by-step explanation:
Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours. How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?
walking - 5km/h bus - 60km/h
distance walking - d₁ distance bus - d₂
time walking - t₁ time bus - t₂
d₁ + d₂ = 35
t₁ + t₂ = 1.5
v = d/t
vwalking = d₁/t₁
5 = d₁/t₁ ⇒ d₁ = 5t₁
vbus = d₂/t₂
60 = d₂/t₂ ⇒ d₂ = 60t₂
d₁ + d₂ = 35 ⇒ 5t₁ + 60t₂ = 35
_________________________
5t₁ + 60t₂ = 35
t₁ + t₂ = 1.5 (*-5)
5t₁ + 60t₂ = 35
-5t₁ -5t₂ = -7.5 (+)
__________________________
55t₂ = 27.5
t₂ = 27.5/55 = 0.5 h
t₁ + t₂ = 1.5 ⇒ t₁ = 1.5 - 0.5 = 1h
d₁ = 5t₁ ⇒ d₁ = 5.1 = 5 km
d₂ = 60t₂ ⇒ d₂ = 30.0.5 = 30 km
1 and 146
2 and 73
and that's about it
Answer:
x = 10 , 45 degrees.
Step-by-step explanation:
This seems a tricky one .
I guess we can use sin A + sin B = 2 sin (A+B)/2 cos (A - B) / 2
so sin 5x + sin x = 2 sin 3x cos 2x so our equation becomes
2 sin 3x cos 2x - cos 2x = 0
cos 2x ( 2 sin 3x - 1) = 0
so 2 sin 3x = 1
sin 3x = 1/2
giving 3x = 30 degrees and x = 10 degrees
or cos 2x = 0
so 2x = 90
giving x = 45 degrees.
Answer: X= 30
Step-by-step explanation:
Hope that helped :)
