Answer:
3 m : 4 cm, 3 m/4 cm, 3 m to 4 cm
Step-by-step explanation:
The actual playground will have an area of 72 m², and have one side be double the other, because the scale drawing does so too.
We can make a system of equations: l * w = 72, l = 2w
Substitute: 2w * w = 72
Simplify: 2 * w² = 72
Divide: w² = 36
Square root: <em>w = 6 m</em> (no negatives due to distances always > 0)
Substitute: l = 2 * 6 m
Simplify: <em>l = 12 m</em>
This means that the relations of one side is <em>6 m : 8 cm</em>. That can be simplified to 3 m : 4 cm.
If you double the dimensions of the tank, you also double the volume of the tank.
Therefore, volume of the new touch tank = 2000 x 2 = 4000 ft^3
Answer:
x²
Step-by-step explanation:
Given the values x² and x^9
The greatest common factor is the factors common to two or more compared values :
Factors of :
x² = x * x
x^9 = x * x * x * x * x * x * x * x * x
Multiplying the Factors in both are : x * x = x²
Similarly :
___|x² | x^9
_ x | x | x^8
_ x | 1 | x^7
There is no factor which can reduce both further simultaneously, Hence the G. C. F = (x * x) = x²
Answer: 2/3
Step-by-step explanation: In this problem, we have 8/15 ÷ 4/5. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
8/15 ÷ 4/5 can be rewritten as 8/15 × 5/4
Now, we are simply multiplying fractions so we multiply across the numerators and multiply across the denominators.
8/15 × 5/4 = 40/60 = 2/3
