Answer:
Members of Singing group will buy minimum 135 number of balcony tickets.
Step-by-step explanation:
Given:
Minimum of tickets will be bought =250
Let number of lawn tickets be 'l'.
Also Let number of balcony tickets be 'b'
Now given
The group buys 20 fewer lawn tickets than balcony tickets.
Framing in equation form we get;

Now The Sum of Number of balcony tickets and Number of lawn tickets should be greater than or equal to Minimum of tickets will be bought by the group.
Framing in equation form we get;

Now substituting the value of 'l' in above equation we get;

Now we know the value of b which is 135 we will substitute in equation
to find the value of l we get;

Hence Members of singing group will buy minimum 135 number of balcony tickets.
The dot product of two vectors is defined as the sum of the multiplication of each of its components.
We have then:
B = [2 8 .6 3]
A = [3 0 2 -1]
Making the product point:
BA = [2 8 .6 3] [3 0 2 -1]
BA = (2 * 3) + (8 * 0) + (0.6 * 2) + (3 * (- 1))
BA = 4.2
Answer
BA = 4.2
Answer:
The length of the shadow is 3.17 feet .
Step-by-step explanation:
Given as :
The height of the person walking on street = H = 5'6''
∴ 12" = 1 '
So, 6" =
× 6 = 0.5'
I.e H = 5.5 feet
The angle of elevation of from tip of shadow to sun = Ф = 60°
Let The length of the shadow = X feet
<u>Now, From figure</u>'
Tan angle = 
Or, Tan Ф = 
Or, Tan 60° = 
Or, Tan 60° = 
Or, 1.732 = 
Or, X = 
∴ X = 3.17 feet
So, The length of the shadow = X = 3.17 feet
Hence, The length of the shadow is 3.17 feet . Answer
Answer:
(17 , -18)
Step-by-step explanation:
5 = (-7 + x) / 2
x = 17
-8 = (2 + y) / 2
y = -18