Answer:
Step-by-step explanation:
a)
Let x unit length of rope
Riemann sum
Weight = 0.3x
work done = 0.3xdx
The required region is 0<x<60
Thus, the required work is
b)
Let x unit length of rope from bottom
The Riemann sum in two parts.
First half weight is = 0.3x
The second half weight is = (0.3)(60 - x)
Thus, the Riemann sum is
The first weight is 0.3x when 0<x<30.
The second half weight is = 0.3(60-x) when 30<x<60
Thus, the work done is
Consider,
Answer:
Area = 587877.54
Step-by-step explanation:
Let the length of sides of the triangle be represented by a, b and c respectively.
a = x 3600
= 1000
b = x 3600
= 1200
c = x 3600
= 1400
The length of the sides of the triangle are: 1000 m , 1200 m, 1400 m.
Perimeter = a + b + c
= 1000 + 1200 + 1400
= 3600
The area of the land can be determined by;
Area of a triangle =
where: s is the semi-perimeter of the triangle and a, b and c are the length of sides respectively.
s =
=
s = 1800
Area =
=
=
= 587877.54
Area = 587877.54
The area of the triangle is 587877.54 .
Answer:
Area=105
Step-by-step explanation:
If we were to close the rectangle it would be 15ft x 8ft which equals 120ft
but then we'd have to find the area of the small rectangle inside being
3ft x 5ft = 15 ft
So, we'd have to subtract 15 ft from 120 ft giving us the answer of 105 ft
The inequality is: x*0.75 + 3.00 < 20.00, where x represents the number of miles. When you solve the inequality, you get 22.66 miles. When you round up to 23 miles, you don't satisfy the inequality, so you have to round down to 22 miles.
Answer: (C) 22 miles