Answer:
45/60=0.75
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given two non zero vectors,
.
Let the angle between the two vectors = 
Given that:

Let us have a look at the formula for magnitude of addition of two vectors:

Where
is the angle between the two vectors.
formula for magnitude of subtraction of two vectors:

As per the given condition:

Squaring both sides:

So, the angle between the two vectors is: 
10 I would say because there are no other numbers
Answer:
Real distance between Manchester and London = 263.2 km
Step-by-step explanation:
Given that:
A map has a scale of 1 cm = 14 km
Ratio = 1 : 14
Distance from Manchester to London = 18.8 cm
Let,
x be the real distance between Manchester and London.
Ratio = 18.8 : x
As the relationship is proportional,
1 : 14 :: 18.8 : x
Product of mean = Product of extreme
14*18.8 = x
x = 263.2 kilometers
Hence,
Real distance between Manchester and London = 263.2 km
Answer:
Step-by-step explanation:
The best way to do this is to let a graphing program do it. You could do it from a chart, but a graphing program can be useful for that as well. We'll make up a mini chart here
x method y
-3 (-3)^2 + 2(-3) + 3 = 6
-2 (-2)^2 + 2(-2) + 3 = 3
-1 (-1)^2 + 2(-1) + 3 = 2
0 3
1 (1)^2 + 2(1) + 3 6
2 (2^2) + 2(2) + 3 11
3 (3)^2 +2(3) + 3 18
See the graph below.
You can pick it out from the graphs you were given.