Answer:
x = 7
Step-by-step explanation:
The proportion is
14/6 = 21/(3x - 12) Cross Multiply
14*(3x - 12) = 6*21 Remove the brackets and combine
42x - 168 = 126 Add 168 to both sides
42x = 126 + 168
42x = 294 Divide by 42
x = 294/42
x = 7
Answer:
Step-by-step explanation:
2) a) You have to find the area of semicircle.
r = d/2 = 12/2 = 6 mm
Area of semicircle =
b) r = 10 cm
Area of quadrant =
3) d = 10 m
r = d/2 = 10/2 = 5 m
Area of circular garden = πr²
= 3.14 * 5 * 5
= 78.5 m²
Area of rectangular pool = 8 * 6 = 48 m²
Area of the garden covered in grass = area of the circular garden - area of pool
= 78.5 - 48
= 30.5 m²
4) a) r = 60 cm
Area of the top of the circular table = πr²
= 3.14 * 60 * 60
= 11304 cm²
diameter of base = 30 cm
r = 30/2 = 15 cm
Area of circular base = 3.14 * 15 * 15
= 706.5 cm²