We are given with the radical expression
√(27 x⁴ / 75 y²)
we can simplify this by dealing with the fraction first
√(27 x⁴ / 75 y²) = √( 9 x⁴ / 25 y²)
Then, take the square root of the coefficients and the variables
= 3x² / 5y<span />
Answer:
10
Step-by-step explanation:
To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.
To solve for x, cross multiply:
12(x+4) = (2x+1)(8)
12x + 48 = 16x + 8
48 = 4x + 8
40 = 4x
10 = x
Answer:
Three fractions between 1/2 and 1 are 3/4, 4/5, and 5/6.
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².
Answer:
31.4 feet or 957.072 centimetre-square
Step-by-step explanation:
We can convert the feet to centimetre or work with it that way
Formula for circumference
C=2TTr^2
C=2*3.14*5
C=31.4 feet
Convert to centimetres
Each feet equal 30.48cm
31.4 feet will be
31.4*30.48= 957.072 cm^2
