Answer:
Total distance = 5 miles
Step-by-step explanation:
Given:
Total time for drive = 10 min = 10 / 60 = 1/6 hour
Time for stop = 5 min
Speed = 30 miles pr hour
Find:
Total distance
Computation:
Total distance = Speed × time
Total distance = 30 × (1/6)
Total distance = 5 miles
#12:
p= 2.8y+2.2y+2x+5x+4x
p= 5y+11x
#14:
p= 2h+2h+4j+4j+4j+4j
p= 4h+16j
Answer:
30 is the lest common multiple
Step-by-step explanation:
Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m =
= 3 , then
y = 3x ← is the equation of the graphed line
Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:

Where, r is the radius of the hemisphere.



Volume of cylinder is:

Where, r is the radius of the cylinder and h is the height of the cylinder.



We know that,
[Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.

Volume of cone is:

Where, r is the radius of the cone and h is the height of the cone.



Now, the volume of the combined figure is:



Therefore, the volume of the given figure is 2110.08 cubic units.