Question 1

1. 94, 29, 150

2. 86/150

3. 15/56

4. 12/56, 44/56

   12/56 x 11/55 x 44/54 = 0.035 x 3 = 0.105

Question 2

1. vertical translation 1 to down, vertical dilation with a s.f of 4

2. 0 = 4(x-5)^2 - 1

   1 = 4(x-5)^2

   1/4 = (x-5)^2

   ±1/2 = x-5

   x = 4.5, 5.5

3. from 4.5 → 5.5 unfilled circles

Question 3

1. 50^2 + 225^2 = x^2

   x^2 = 53,125

   x = 230.5

   It will not fit because its diagonal length is greater than the ceiling height

2. x^2 + h^2 = 230^2

   h^2 = 230^2 - x^2

   h = √52900 - x^2

3. h = √52900 - 50^2

   h = 224.5

4. 50x50x220 = 550000cm^3

Question 4

1. A is a common angle between both of them.

   angle ABC = angle ADE because BC is parallel to DE and therefore similar angles.

2. 3:7 = LSF

   LSF = 2.33

   ASF = 5.43

   9:48.87

   49-9 = 40cm^2

3. sin96 / 7 = sinx / 3

   sin^-1 (3 x (sin96 / 7)) = x

   x = 25

4. 59

   c^2 = 7^2+7^2 - 2(7)(7) cos59

   c^2 = 47.5

   c = 6.9cm

Question 5