Answer:
Step-by-step explanation:
Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.
For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.
Length of the square is 5cm.
Recall Pythagoras theorem: it states that
the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides
= +
= 25 + 25
= 50
Take the square root of both sides , that is
D =
D = X , since 50 = 25 x 2
D = 5
D ≈ 7.07
Answer:
100 not so good seats
50 good seats
Step-by-step explanation:
Let x represent good seats and y represent not so good seats
[i] 3x + 2y = 350
[ii] x+y = 150
[iii] y = 150 - x
substitute this to equation [i]
3x + 2y = .350
3x + 2 (150-x ) = 350
3x + 300 - 2x = 350
3x-2x = 350 - 300
x = 50 good seats
now substitute what you got to equation [iii]
y = 150 - 50 = 100 not so good seats
when we check the answer by using equation [i] we find that it is correct:
3x + 2y = 350
3(50) + 2(100) = 350
150 + 200 = 350
350 = 350
It’s “A” because you need to add the four sides together which gets you the 40 cm sorry if it is wrong but I think it is that