Answer:
Step-by-step explanation:
0.333333 = 1/3
can check through dividing 1 by 3
0.125 = 125/1000 = 25/200 = 5/40 = 1/8
0.166666 = 1/6
0.1 = 1/10
0.66666 = 2/3
0.2 = 2/10 = 1/5
0.75 = 75/100 = 15/20 = 3/4
Answer:
24 feet
Step-by-step explanation:
Given that:
The length of the rectangle is 6 times the side of a cement square.
Now, this rectangle is formed from 6 squares;
The total area of the path of this square = 96 square feet;
The area of each square now = 96/6 = 16 square feet
Recall that:
Area of a square = S²
where S is the side length
16 = S²
S =
S = 4 ft
The length of the path in feet now is: L × w
= 6 × 4
= 24 feet.
Answer:
5(8-x)
Step-by-step explanation:
Fact using the GCF (Greatest Common Factor) of 40 and 5
Factors of 5:
1,5
Factors of 40:
1,2,4,5,8,10,20,40
The greatest factor they both have is 5
Factor by distributing out a 5
40-5x
5(8-x)
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm