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:
150658743
Step-by-step explanation:
(301 317 167+319)÷2=150658743
Answer:
27720
Step-by-step explanation:
Given that there are 12 students in a graduate class. The students are to be divided into three groups of 3, 4, and 5 members for a class project.
From 12 students 3 students for group I can be selected in 12C3 ways.
Now from remaining 9, 4 students can be selected for II group in 9C4 ways
The remaining 5 have to be placed in III group.
Hence possible divisions for grouping the 12 students in the class into three groups
= 12C3 *9C4
= 
Answer:
(x – 3)^2+ (y +2)^2 = 36
Step-by-step explanation:
Given data
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,
where (h, k) represents the coordinates of the center of the circle
h=3
k=-2
r= 6
Substitute
(x – 3)^2+ (y – (-2))^2 = 6^2
(x – 3)^2+ (y +2)^2 = 36
Hence the expression for the equation of the circle is
(x – 3)^2+ (y +2)^2 = 36
A is correct because the f represents the lilies and then you add the 15 because that is how much roses there are going to be. Lastly just multiply the ten that will give you the answer