a. The formula for the area of rectangle is:
A = l w
so given that A = 3/5 m^2 and w = 2/5 m,
l = A / w
l = (3/5 m^2) / (2/5 m)
l = 3/2 m or 1.5 m
b. We take the ratio l/w:
l/w = (3/2 m) / (2/5 m)
l/w = 3.75
So the length is 3.75 times greater than width
Answer:
D. 60, 45,75
Step-by-step explanation:
For options C and D
For a triangle the sum of the angles must always be equal to 180 degrees
So 180 ≠45+45+80
and
60 +45+ 75= 180
For option A and B
The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.
According to Pythagorus theorem
hypotenuse²= base² + perpendicular²
c²= a²+ b²
90²= 50² + 35²
8100= 2500+1225
8100≠3725
95²= 60²+ 25²
9025= 3600+ 625
9025≠4225
Therefore only D is the correct option
Answer: the second option I think
Step-by-step explanation:
Answer:
Distance Divided by time
Step-by-step explanation:
When it comes to laplace equations, there are transformation equations to follow. Generally, when you want to transform a laplace equation, you change the equation from f(t) to F(s). If you do the reverse, it is called the reverse laplace equation.
Based on the given, the useful transformation equation is shown in the attached picture. The given equation is
Breaking it into partial fractions,
From the given transformation equation:
-1/s ⇔ -e^0t ⇔ 1
1/(s-5) ⇔ e^-(-5t) ⇔ e^5t
1/(s-6) ⇔ e^-(-6t) ⇔ e^6t
1/(s-30) ⇔ e^-(-30t) ⇔ e^30t
Therefore, the laplace equation is equal to 1*e^5t*e^6t*e^30t which is simplified into
e^41t,