The Formula of the relation is M = 8AT.
The mass of the metal sheet is 960 g.
The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).
Proportionality:
Removing the proportionality sign,
Where:
- K = constant of proportionality.
make K the subject of the equation:
- K = M/KT.................... Equation 1
From the question,
Given:
- M = 200 g
- A = 250 cm²
- T = 1 mm = 0.1 cm
Susbtitute into equation 1
- K = 200/(250×0.1)
- K = 8 g/cm³
Formula:
- M = 8AT................. equation 2
Hence the formula of the relation is M = 8AT
If,
- A = 400 cm²
- T = 3 mm = 0.3
Substitute these values into equation 2
Hence, the mass of the metal sheet is 960 g
Learn more about joint variation here: brainly.com/question/26047253
Answer:
Step-by-step explanation:
V=4/3πr^3
V=1.333×3.14×27ft
V=113.04ft
x= 18
let me show you the workout
6x+1+12x-5=32
Combine like terms .Combine 6x+12=18x
18x-4=32 Subtract -4 from 32
18x=36 Divide by 18 and
X=16
Hoped this helped Im not sure if this is right
Y = kx is the direct variation equation
Substitute the x and y that are given to find k then write your new equation in terms of y with the k.
288 = k(16) divide by 16 to find k
18 = k
Now write the new equation
y = 18x
y = 18(13) or y = 18(-13) I'm not sure by what you have typed if that is supposed to be and equal sign or a negative.
y = 234 OR y = -234
What you want to do in dilation is multiply the side(s) by the scal factor to get the measurements of the new shape. in this case multiply 8 by 3.6 to get the new side length of 28.8