Answer:
7.16
Step-by-step explanation:
Answer:
(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)
Step-by-step explanation:
Factor all the expressions,
1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)
2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)
3rd expression=2x^2 + x - 21=(x - 3) (2 x + 7)
HCF=Commo factor=(x-3)
LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)
9514 1404 393
Answer:
3 1/3
Step-by-step explanation:
Multiply both sides by the reciprocal of the coefficient of c.
(5/2c)(2/5) = (8 1/3)(2/5)
c = (25/3)(2/5) = 50/(3·5) = 10/3
c = 10/3 = 3 1/3
Answer:
222 fence posts
Step-by-step explanation:
Since the log is 20 m long, correct to the nearest metre and has to be cut into fence posts which must be 90 cm long, correct to the nearest 10 centimetres, there can be x fence posts 90 cm long.
So, we have x × 90 cm = 20 m
x × 0.9 m = 20 m
x = 20 m/0.9 m
x = 222.22
x ≅ 222 fence posts
So, the largest number of fence posts that can possibly be cut from the log is 222 fence posts.
Split it up into 3 separate shapes.
Rectangle 1 = 15 x 3 = 45
Rectangle 2 = 3 x 5 = 15
Triangle = 1/2 x 5 x 3 = 7.5
Total area = 45 + 15 + 7.5 = 67.5 cm²
