Answer:
5.3 is 5.259 rounded into the tenths place.
We know that
in a right triangle
applying the Pythagoras theorem
c²=a²+b²----------> b²=c²-a²
where
c is the hypotenuse-------> c=8 yd
a and b are the legs of the triangle
a=6 yd
b=?
b²=c²-a²-----> b²=8²-6²-----> b²=64-36----> b²=28-----> b=√28---> 5.29 yd
the answer is
5.3 yd
Answer:
<h2>x = -1.5 or x = 2</h2>
Step-by-step explanation:
Think of ratios as fractions
4:2 = 4/2 = 2
5:4 = 5/4 = 1.25
2 > 1.25 ∴ 5:4 is smaller by 0.75
5:4 is your answer
hope this helps
Answer:
The laplace transform is
Step-by-step explanation:
We will solve this problem by applying the laplace transform properties (their proofs are beyond the scope of this explanation).
Consider first the function f(t) = 1. By definition of the laplace transform, we have
when f(t) = 1 we get
We will apply the following properties: Define L(f) as applying the laplace transform
(this means, multiplying by an exponential corresponds to a shift in the s parameter of the transform of f)
(this is, multypling by is equivalent to taking the n-th derivative of the transform.
We are given the function . Since the transform of the constant function 1 is 1/s, by applying the first property we get
By applying the second property we get