Answer:
<em>x = 62°, y = 103°</em>
Step-by-step explanation:
<u>Supplementary Angles</u>
Two angles are called <em>supplementary</em> when their measures add up to 180 degrees.
The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.
The first drawing shows supplementary angles x and 118°. They must satisfy the equation:
x + 118° = 180°
Subtracting 118°:
x = 180° - 118°
x = 62°
From the second drawing, we set up the equation:
y + 77° = 180°
Subtracting 77°:
y = 180° - 77°
y = 103°
it is 0.01 times the value because it is a hundreds time smaller than the other four.
I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,
One possible answer is
Another possible answer is
There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)
So in the first example above, we would have
In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.
Similar steps will happen with the second example as well (when g(x) = x^2)
Answer:
Step-by-step explanation:
( - ∞ , - 3 ) ∪ [ - 1 , ∞ )
Answer:
4) 0.001
Step-by-step explanation:
The amount (a) present in h hours is ...
a(h) = (initial value)×(1/2)^(h/(half-life))
6 days is 6×24 hours, so the amount remaining is ...
a(6×24) = 50×(1/2)^(6×24/9) = 50/2^16 ≈ 0.001 . . . . milligrams