Total distance = 200 miles
Time needed for the first 100 miles
= 100 ÷ 40 = 2.5 hours
Time needed for the second 100 miles
= 100 ÷ 50 = 2 hours
Total time = 2.5 + 2 = 4.5 hours
Average speed = 200 ÷ 4.5 hours = 44.4 miles per hour
Answer:
25 and 100
Step-by-step explanation:
Given:
To find:
The quadrant in which 
lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only 
and 
are positive.
In Quadrant III, only 
and 
are positive.
In Quadrant IV, only 
and 
are positive.
We have,
Here, is negative and is also negative. It is possible, if 
lies in the Quadrant IV.
Therefore, the correct option is D.
Answer:
v = 124 cm³
Step-by-step explanation:
The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,
v = a³
v = 4³
v = 64
Now, for the rectangular prism.
v = l · w · h
v = 10 · 3 · 2
v = 60
Now, for the total collective volume, simply add up the volumes of the independent shapes.
64 + 60 = 124 cm³
-6p+8p=-16+4p
Combine like terms
2p=-16+4p
-4p -4p
-2p=-16
/-2 /-2
P=8
