A fraction x/y is a ratio between two numbers x and y.
The ratio is preserved if both x and y are scaled up or down by the same number n.
This means you can obtain any fraction equivalent to x/y by multiplying both x and y by n, i.e. (n*x)/(n*y).
Then we have 1/4 = (2*1)/(2*4) = 2/8, for example.
Answer:
(9x²)²
Step-by-step explanation:
Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.
y = 81x⁴
Then we take the square root of both sides of the expression
√y = √81x⁴
y^½ = √81 × √x⁴
y^½ = 9x²
Squaring both sides of the resulting equation to get y back
(y^½)² = (9x²)²
y = (9x²)²
The expression as a square of a monomial is (9x²)²
Answer:
1. 5700mg
2. 1000cm
3. 0.0453m
4. 37.5 kg/L
Step-by-step explanation:
1. 1gram (g) =1000milligrams(mg)
5.70×1000=5700mg
2. 1 m= 100cm
10×100=1000cm
3. 1000mm=1m
45.3/1000=0.0453m
4. 1000g=1kg
37.5/1000=0.0375
1000ml=1L
1ml= 1/1000= 0.001L
0.0375/0.001= 37.5 kg/L
Answer:
x = 4
Step-by-step explanation:
ΔTRQ is an isosceles right triangle, so if we find the value of RT then the value of 'x' will be the same
We can find RT by creating a proportion based on the ratio of sides in a 30-60-90° triangle which, respectively, is 1 :
: 2
2
/RT =
/2
cross-multiply:
· RT = 4
RT = 4
Therefore, x = 4