Answer:
20.25 m²
Step-by-step explanation:
the area (A) and circumference (C) of a circle are calculated using the formulae
C = 2πr and A = πr² ( where r is the radius )
calculate the radius using the formula for circumference
2πr = 9π ( divide both sides by 2π )
r = = = 4.5, hence
A = π × 4.5² = 20.25π m²
The answer is 4
The answers is four because 10/3(aka 3 1/3) +2/3=(10 ×3)+ (2×3)/3×3=36/9= 36 ÷ 9/9÷9=4
so the answer is four
Answer:
12−2
Step-by-step explanation:
Simplify,
(11+3)+(−5)
11+3+−5
Subtract,
11+3+−5
11−2+
Combine like terms,
11−2+
12−2
Since we can't go any further, the solution is,
12−2
Sqrt(5u + 2) = sqrt(3u + 14)
Square both sides to clear the square root.
5u + 2 = 3u + 14
subtract 3u from both siides
2u + 2 = 14
subtract 2 from both sides
2u = 12
divide both sides by 2
u = 6
When you square a square root you MUST check the solution.
sqrt(5*6 + 2) = sqrt(3*6 + 14)
sqrt(32) = sqrt(32)
Answer:
48 mm ^ 2
Step-by-step explanation:
We know we have a cube of side x, therefore the volume of that cube will be equal to:
V = x ^ 3, because it is a cube and each side is the same.
Now the derivative of the volume with respect to the length (that is, x) would be:
dV / dx = 3 * (x ^ 2)
They tell us that x takes a value of 4, replacing we have:
dV / dx = 3 * (4 ^ 2) = 48
That is, 48 mm ^ 2 would be the value of dV / dx when x is equal to 4 mm.
