Answer:
See each answer bolded below
Step-by-step explanation:
1. Area of the rectangle is 20 * 30 = 600
Area of the 6 circles is 6(25pi)
150pi/600 = 0.7854
1 - 0.7854 = 0.2146
convert to percentage 21.46%
2. 6/16 -> 3/8
Roughly 38% (37.5)
3. 10/24 = 0.41666666667 or 0.4167
41.66
roughly 42%
4. 12/36 -> 1/3
33.3333
33%
Answer:
42.39 sq.cm
Step-by-step explanation:
Ф = 135°
r = 6 cm
Area of the sector = 

Answer:
x = - 5 , x = 
Step-by-step explanation:
the values of x that make f(x) zero are the zeros
to find the zeros let f(x) = 0 , that is
3x² + 13x - 10 = 0
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
the factors are + 15 and - 2
use these factors to split the x- term
3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )
3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term
(x + 5)(3x - 2) = 0
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = 