<h3>
Answer: (2x)^3</h3>
Work Shown:
x = some unknown number
2x = twice the number
(2x)^3 = cubing the previous result
If you want to simplify this expression, then you would get 8x^3 since 2^3 = 8.
Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6
The formula for the area of a triangle of base b and altitude h is A = (1/2)(b)(h).
Here, b = 18 cm and h = 9 cm. Thus, the desired area is:
(18 cm)(9 cm)
A = ----------------------- = 81 cm^2
2
This problem gives you more info than is needed to solve it. The area of the given triangle is 81 cm^2.
Answer:
Step-by-step explanation:
200m^2-800n^2=200(m^2-4n^2)
1 3/4 of the cup will be the other liquid because if you take 1/4 from 2, that would be 1 3/4.