Given that the figures are similar polygons, the ratio of their ratios should be equal to the square of the ratio of their circumference. If we let x be the lateral area of the smaller cylinder then,
(x/210π) = (24π/60π)²
The value of x from the equation is,
x = 33.6π
Thus, the area of the smaller cylinder is equal to 33.6π mm².
Answer:
10,93,500.
Step-by-step explanation:
On first February total number of rabbits were 500.
Now it is given that after each month rabbit population will become triple of initial.
So, after one month rabbits will become 3×500.
After two months they will become 
×500.
Thus , after m months total number of rabbits will become 
×500.
Now,
On August 1 , 7 months will get passed from February 1 so putting m = 7 in the equation we get ,
Total number of rabbits = 
×500 = 10,93,500.
Answer:
68 cm
Step-by-step explanation:
√289 = 17
each side is 17 cm
17 * 4 = 68 cm
Let us say that:
x = cost of shorts
y = cost of slacks
z = cost of sports coat
From the given statements, we can create the following
equations:
eqtn 1: 3 x + y =
10.96
eqtn 2: 7 x + 2 y +
z = 30.40
eqtn 3: 4 x + z =
14.45
Rewrite eqtn 1 explicit to y:
y = 10.96 – 3 x -->
eqtn 4
Rewrite eqtn 3 explicit to z:
z = 14.45 – 4x -->
eqtn 5
Plug in the values of y (eqtn 4) and z (eqtn 5) to eqtn
2:
7 x + 2 (10.96 – 3 x) + 14.45 – 4 x = 30.40
7 x + 21.92 – 6 x + 14.45 – 4 x = 30.40
- 3 x + 36.37 = 30.40
- 3 x = - 5.97
x = 1.99
Eqtn 4:
y = 10.96 – 3 x
y = 10.96 – 3 (1.99)
y = 4.99
Eqtn 5:
z = 14.45 – 4x
z = 14.45 – 4 (1.99)
z = 6.49
Therefore each shirt cost $1.99, each slacks cost $4.99,
and each sports coat cost $6.49.
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Answer:
no solution
Step-by-step explanation:
Given the 2 equations
y = 
x + 4 → (1)
- x + y = - 5 → (2)
Substitute y = x + 4 into (2)
- x + x + 4 = - 5 , that is
4 = - 5 ← not possible
This indicates the system has no solution
