100 = 10 × 10
100 = 2 × 5 × 2 × 5
100 = 2² × 5²
The prime factorization of 100 is 2² × 5².
Answer:
Upper level = 2502 seats
Middle level = 5044 seats
Lower level = 7456 seats
Step-by-step explanation: given that
A baseball stadium holds 15,002 seats.
Let the Upper, middle and lower levels be represented as U, M and L respectively. And x = number of seat at the upper level
The lower level has 50 fewer than three times as many seats as the upper. That is
L = 3x - 50 .... (1)
The middle level has 40 more than twice as many seats as the upper level. That is
M = 2x + 40
Where L = x
x+ (2x + 40) + (3x - 50) = 15,002
You solved for x and found out the upper level has 2,502 seats . How many seats are in the lower level and how many seats are in the middle ?
That is x = 2502
Substitute x into equation 1
L = 3(2502) - 50
L = 7456 seats
Substitutes x into equation 2
M = 2(2502) + 40
M = 5044 seats
This is a 45-45-90 triangle or a right triangle created by the sides.
Because of this being a right triangle and 45 degrees being given already for one angle you would add 90 and 45 which will give you 135. You would subtract 135 from 180 because all the angles of a triangle add up to 180°. 180-135=45. X=45°
