Answer:
C. r = d/2
Step-by-step explanation:
The radius is half of the diameter.
The diameter divided by 2 would equal the radius of a circle.
Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let
. then we have that
. Hence, it makes sense to define the positive number delta as
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that
, and if we prove this, we are done. To prove it, let
, then
. First,
then
hence
On the other hand,
then
hence
. Combining the inequalities, we have that
, therefore
as required.
We can then write an equation representing this problem as:
e−1.5mi=5.25mi
Now, add 1.5mi to each side of the equation to solve for e while keeping the equation balanced:
e−1.5mi+1.5mi=5.25mi+1.5mi
e−0=6.75mi
e=6.75mi
The plane's starting elevation was 6.75 miles
Hope this helps!
Answer:
325 km
Step-by-step explanation:
Given the scale :
1 : 4 ,000, 000
1cm measure in map = 4000000 on the ground
From the map :
Distance between Leeds and London = 8.125 cm
The actual distance on ground can be calculated thus :
1cm = 4,000,000
8.125cm = x
Cross multiply
x = 32500000 cm
Converting to kilometers :
1 km = 100,000 cm
x = 32500000
Cross multiply
100,000x = 32500000
x = 32500000 / 100000
x = 325
Hence, actual distance between Leeds and London is 325 km