Answer:
57.78 km/hr
Step-by-step explanation:
Total time taken, t = 6 hours
Total distance covered, d = 520 km
Distance by car = 260
Distance by train = 520 - 260 = 260 km
Train speed = x
Car speed = 2x
Average speed speed = 3x /2
Speed = distance / time
1.5x = 520 / 6
9x = 520
x = 520 / 9
x = 57.777
Average speed of train = 57.78 km/hr
Answer:
The area of the sector is 3pi/2
Step-by-step explanation:
A sector is that part of a circle bounded by 2 radii and an arc
The circle has an area of 9 pi with a central angle of 60 degrees.
Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.
Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.
Thus, the area of the sector is one-sixth the area of the circle.
The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi
Answer:
The vehicle covers 126 miles on 7 gallons of fuel.
Step-by-step explanation:
Given:
The distance traveled is directly proportional to the amount of fuel.
For 
gallons of fuel distance traveled 
miles can be given as:
∝
where 
is constant of proportionality.
The vehicle covers 
miles on 
gallons.
So
Dividing both sides by 5.
∴ 
When 
gallons
miles
∴ The vehicle covers 126 miles on 7 gallons of fuel.
Answer:
Expression I and IV
Step-by-step explanation:
Expression I simplified :
- 3n + 7 + n + 4n
- 8n + 7
- Expression I = Expression IV
Final result :
4x3yz2 • (3x - 2y2)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "z2" was replaced by "z^2". 4 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((12•(x4))•y)•(z2))-((23x3•y3)•z2)
Step 2 :
Equation at the end of step 2 :
(((22•3x4) • y) • z2) - 23x3y3z2
