Answer: the value of | 2x + y | = 1.39
the direction of 2x + y = 21°
Step-by-step explanation:
Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.
Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.
Therefore
2x-y=
2< 1,0 > - < cos(30),sin(30) >
=<2-(√2)/2, 0-1/2>
and
|2x-y|=√((2-(√2)/2)² + (-1/2)^2)
=1.3862
Therefore the value of | 2x + y | = 1.39
=atan((-1/2)÷(2-(√2)/2))
=atan(1.29289/-0.5)
=-0.369 radians
= -21.143°
Therefore the direction of 2x + y is
21°
Answer:
Total number of chairs in the restaurant = 160.
Step-by-step explanation:
Total number of tables in the restaurant = 50
It is given that 40% of the tables have 2 chairs at each table.
40% of 50 = 
= 20
So, 20 tables have 2 chairs at each table.
Number of chairs required for 20 tables = 20 × 2 = 40
Remaining 60% of the tables have 4 chairs at each table.
60% of 50 = 
= 30
So, 30 tables have 4 chairs at each table.
Number of chairs required for 30 tables = 30 × 4 = 120
Hence, total number of chairs in the restaurant = 40 + 120 = 160.
The constant of proportionality is 1.25 and its meaning is the soup price per can
Step-by-step explanation:
The diagram below shows a proportional relationship between the number of cans of soup and the price.
1st:
$3.75 for 3 cans
per can
2nd:
$6.25 for 5 cans
per can
If x is the number of cans and y is the price of x cans, then
This means the constant of proportionality is 1.25 and its meaning is the soup price per can
The 3r would be the independent variable and m=30 is the dependent variable. Double check the answer though.
