Answer:
Option C is correct.
Step-by-step explanation:

We need to find reference angle and signs of sinФ, cosФ and tanФ
We know that
is equal to 150°
and 150° is in 2nd quadrant.
So, Ф is in 2nd quadrant.
And In 2nd quadrant sine is positive, while cos and tan are negative
The reference angle Ф' is found by: π - Ф
=> Ф = 5π/6
so, Reference angle Ф' = π - 5π/6
Ф' = 6π - 5π/6
Ф' = π/6
So, Option C Θ' = pi over 6; sine is positive, cosine and tangent are negative is correct.
The first answer is B because the bottom half of the proportions are how many km/minutes he CAN run, while the top half of the proportion is how many he WILL run.
He will run 60km in 285 minutes.
The rate of change in temperature is −17°F/min
<h3>Rate of change of a function</h3>
The formula for calculating the rate of change of a function is expressed as:
Rate of change = rise/run
This is also known as the slope of the function
Given the following parameters
Temperature = −25.5°F
Cooling time = 1.5mins
Determine the rate of change
Rate = −25.5°F/1.5min
Rate = −17°F/min
Hence the rate of change in temperature is −17°F/min
Learn more on rate of change here: brainly.com/question/8728504
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The function would be y = 0.45x, x being the number of seconds, y being the items he can ring up.
For example (this is an example only to show how this equation works), if we were looking at how many items the cashier can ring in 5 seconds, we would make the equation y = 0.45(5), and with multiplication, we can find that they would ring 2.25 items ( y = 2.25 )
If I misunderstood this question or got something wrong, please leave a comment and I can help further.
Answer:
B=58
Step-by-step explanation:
Complementary angles are angles where the sum equals 90°. So all you have to do is 90-32 and you get 58.