Answer:
circumference of the cake board = 109.9 cm
Step-by-step explanation:
diameter of cake = 30cm
diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm
radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm
radius of cake board = 17.5 cm
circumference of a circle = 2 × π × r (where π = 3.14)
circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm
Therefore the circumference of the cake board = 109.9 cm
Answer:
x=5
y=1
Step-by-step explanation:
The substitution method is considered easier because of its simplification.
2x-3y=7 (1)
x+2y=7 (2)
considering equation (2),
x = 7 - 2y (3)
using the value of "x" in (1)
2 (7-2y) - 3y=7
14 - 4y- 3y = 7
14 - 7y = 7
7y = 14 - 7
7y = 7
y = 1 (4)
substituting this value of "y" in (3)
x = 7- 2(1)
x = 5
- cos ( 1/2 x + 1/5 π ) = 0 ( and because if cos α = 0, α= π/2 + k π, k ∈ Z )
1/2 x + π/5 = π/2 + k π, k ∈ Z
1/2 x = π/2 - π/5 + k π / * 2
x = π - 2π/5 + 2 k π
x = 3/5 π + 2 k π = 0.6 π + 2 k π
Answer:
If k = 0: x 1 = 0.6 π = 3π/5
k = 1 : x 2 = 2.6 π = 13π/5
Answer:
I'm pretty sure it's 12.55
Step-by-step explanation:
