Answer:
We know, two angles are said to be complementary, if the sum of their measures is 90
∘
.
Let the angle be x
∘
and its complement is 90
∘
−x
∘
Then, according to the statement,
⇒x
∘
−(90
∘
−x
∘
)=12
∘
⇒x
∘
−90
∘
+x
∘
=12
∘
⇒2x
∘
=12
∘
+90
∘
=102
∘
⇒x
∘
=
2
102
∘
=51
∘
.
Hence, the measure of the angle is x=51
∘
and its complement is 90
o
−x=90
o
−51
o
=39
∘
.
The rate at which the temperature is changing at 9 a.m. is 19.03 degrees Celsius per hour
<h3>How to determine the rate at 9a.m?</h3>
The function is given as:

9a.m is 9 hours since midnight.
This means that
x = 9
So, we have:

Evaluate

Evaluate the expression
t(h) = 19.03
Hence, the rate at which the temperature is changing at 9 a.m. is 19.03 degrees Celsius per hour
Read more about rates at:
brainly.com/question/25545513
#SPJ1
The vertical asymptote requires a factor of (x-4) in the denominator.
The double zero requires a factor of (x-1)² in the numerator.
At x=0, these factors will give a value of (-1)²/(-4) = -1/4, so another constant factor of -12 is needed to make the y-intercept be 3.
Your rational function is ...
... y = -12(x -1)²/(x -4)
Answer:
She scored on 33 of them
Step-by-step explanation:
You take 150 and multiply it by .22. which is 22%