Answer:
The answer is below
Step-by-step explanation:
A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.
The two tangent theorem states that tangent that meet at the same point are equal in length.
Therefore:
CD = c + d
but c = 5.1, hence:
CD = 5.1 + d
12.1 = 5.1 + d
d = 7
AD = a + d; but AD = 12.2, d = 7
12.2 = a + 7
a = 5.2
AB = a + b; but b = 3.3
AB = 5.2 + 3.3 = 8.5
BC = b + c = 3.3 + 5.1 = 8.4
Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2
time= distance/speed
take distance as d. take time as t.
the time taken: d/ 65 for the train however it is the same distance for d/130 so we can say (d/65)-3 = d/130
now solve the equation, multiply both sides by 130
2d-390=d
2d-d=390
so d=390 mi
Divide them and you're answer will come out
Only option b will allow them to meet their goal
Given that y=f(g(x)) this implies that y is formed by composition of the function of the functions f(x) and g(x) given by f ο g (x).
thus:
y=f(g(x))=3/(sqrt 3x)+4
breaking down the above it implies that the functions f(x) and g(x) will be:
f(x)=x+4
g(x)=3/(sqrt 3x)