Answer:
a.) Commutative Property of addition
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Note that cos315° = cos45° and sin315° = - sin45° and
cos45° = sin45° =
= 
Hence
12(cos315° + isin315°)
= 12(cos45° - isin45°)
= 12(
- i
)
= 6
- 6i 
The 3.1 °F/min rate of change of the temperature and 15 minutes change duration gives the change in temperature as 46.5 °F
<h3>How can the change in temperature be found from the rate of change?</h3>
The rate at which the temperature changed = 3.1 °F/min
The duration of the change in temperature = 15 minutes
The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;

Where;
∆T = The required change in temperature
∆t = The duration of the change = 15 minutes
Which gives;
∆T = 3.1°F/min × 15 minutes = 46.5 °F
- The change in temperature, ∆T = 46.5 °F
Learn more about the rate of change of a variable here:
brainly.com/question/10208814
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She has 7 more roses. you can subtract to find the difference. 14-7=7
Answer:
x < 5
Step-by-step explanation:
2 x +8 < 18
Subtract 8 from each side
2x+8-8 < 18 -8
2x< 10
Divide by 2
2x/2 < 10/2
x < 5