Step-by-step explanation: In order to decide whether the given fractions are equivalent, first write each fraction in lowest terms. Remember, a fraction is written in lowest terms if the greatest common factor of the numerator and the denominator is 1.
For our first fraction which is 3/4, the greatest common factor of 3 and 4 is 1, the fraction is already in lowest terms.
For our second fraction however, since the greatest common factor of 6 and 8 is 2, we must divide both the numerator and denominator by 2 which gives us 3/4.
3/4 = 3/4 which means these fractions are equivalent.
3/4 and 6/8 are equivalent because if you reduce 6/8 in lowest terms, you end up with the fraction 3/4.
Answer:
Hydrostatic Force = 35.28KN
Step-by-step explanation:
To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.
Formula for a thin horizontal slice of the triangle the force is;
δF=ρgxwδx
Where w is width of triangle; ρ is density of water and g is acceleration due to gravity
At depth x, the width of the triangle is w=2/3x.
Thus, F = (3,0)∫)ρgxwδx
=(2/3)ρg[(3,0)∫)x²δx]
= integrating, we have;
F = (2/3)ρg[(3³/3) - (0³/3)]
F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN
Step-by-step explanation:
a) i) original cuboid = 3×5×2 = 30 cm³......(i)
ii) ratio : 3×2 = 6cm (width), 5×2 = 10 cm (length),
2×2 = 4 cm (height).
enlarged cuboid = 6×10×4 = 240 cm³....(ii)
b) ratio = 240cm³/30cm³ = 8:1.
hope this helps you.
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
14% ÷ 12 (MONTHS IN THE YEAR) = 1.16666667
If rounding to the nearest 10th of a percent the answer is 1.2% increase per month.
