Answer:
2/3
Step-by -step explanation:
we are given


(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it

we can simplify it


(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):

we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):

Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪
..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):

we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):

Since, it is quadratic equation
so, its range will be

now, we can find common range
so, range will be
∪
.............Answer
9514 1404 393
Answer:
- b = 757.7 m
- A = 17.2°
- C = 14.3°
Step-by-step explanation:
From the law of cosines, you can find the length of side b to be ...
b = √(a² +c² -2ac·cos(B))
b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36
b ≈ 757.7
__
From the law of sines, you can find the measure of angle C to be ...
C = arcsin(c/b·sin(B))
C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)
C ≈ 14.3°
A = 180° -148.5° -14.3°
A = 17.2°
_____
Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.
Answer:
28 strokes
Step-by-step explanation:
The computation is shown below:
It is given that the 42 strokes are required to fill up the 3 by 5th
So for completing the line, the number of additional strokes required is
But before the total strokes required is
= 42 × 5 ÷ 3
= 70
This represent the total
so, the additional strokes is
= 70 - 42
= 28 strokes