Answer:
equation is
2(x+10x)=1540
width= 70ft
length= 700ft
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Answer:
The solution of the given initial value problems in explicit form is
and the solutions are defined for all real numbers.
Step-by-step explanation:
The given differential equation is

It can be written as

Use variable separable method to solve this differential equation.

Integrate both the sides.

![[\because \int x^n=\frac{x^{n+1}}{n+1}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cint%20x%5En%3D%5Cfrac%7Bx%5E%7Bn%2B1%7D%7D%7Bn%2B1%7D%5D)
... (1)
It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.



The value of C is -2. Substitute C=-2 in equation (1).
Therefore the solution of the given initial value problems in explicit form is
.
The solution is quadratic function, so it is defined for all real values.
Therefore the solutions are defined for all real numbers.
How far does a wheel move when it rotates once? The length of the outside of the tyre? Isn't that the same as the circumference?
Answer:
AC = 6.05 cm
Step-by-step explanation:
We can draw two different trapeziums with the information given.
The possible drawings of the trapezium ABCD are in the image attached.
In both trapeziums, the length of AC is the same, and we can calculate this length using the law of cosines in the triangle ABC:
AC^2 = AB^2 + BC^2 - 2 * AB * BC * cos(B)
AC^2 = 4.8^2 + 6.8^2 - 2 * 4.8 * 6.8 * cos(60)
AC^2 = 23.04 + 46.24 - 65.28 * 0.5
AC^2 = 36.64
AC = 6.05 cm
Answer:
Width of the rectangle = 15 inches
Length of the rectangle = 25 inches
Step-by-step explanation:
Let the width of the rectangle = k inches
So, the length of the rectangle = (2k -5) inches
Perimeter = 80 in
Perimeter of a rectangle = 2 (Length + Width)
⇒ 80 = 2(k + (2k -5)
or 80 = 6k - 10
⇒ 6k = 80 + 10 = 90
or k = 90 / 6
⇒ k = 15
So the width of the rectangle = k = 15 inches
And the length of the rectangle = 2k -5 = 2 x 25 - 5 = 25 inches