The dot product is used to determine the magnitude of the resultant vector of two component vectors. It is expressed as a·b. It does not literally mean that you multiply their values. Instead, you multiply their matrices. However, since we cannot find matrices, let's just find the resultant vector through theorems involving triangles. By cosine law:
R = √[a² + b² - 2abcos(3π/4)]
R = √[60² + 30² - 2*60*30*cos(3π/4)]
R = 83.94
Thus, a·b = 83.94
Answer:
<h2>
7/8 gallons of Ginger ale </h2>
Step-by-step explanation:
Total gallons of punch mixture = gallons of pineapple juice + orange juice + gallons of apple juice + gallons of Ginger ale
Given gallons of pineapple juice = 3/4 gallons
Orange juice = 1 1/2 gallons
Gallons of apple juice = 7/8
Total gallons of punch = 4 gallons
On substituting into the formula above:
4 = 
]
gallons of ginger ale = 
gallons ginger ale = 
She needs 7/8 gallons of Ginger ale to make the total of 4 gallons of punch
Since 1/2x is the slope, it is proportional. The equation has a constant rise/run.
One hour and forty-five minutes
From 4:30 to 5:00 it's 30 minutes, from 5:00 to 6:00 it's one hour (we are at 1 hour and 30 minutes now), and from 6:00 to 6:15, it's 15 minutes.
In total, it's 30 minutes+1 hour+15 minutes which can be rearranged to say
1 hour+30 minutes+15 minutes that you can simplify to 1 hour+45 minutes or
1 hour and 45 minutes
Answer:
30cm
Step-by-step explanation:
