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
Answer:
2/5
Step-by-step explanation:
To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.
__
<h3>units conversion</h3>
The conversion factor between minutes and seconds is ...
1 minute = 60 seconds
Multiplying this equation by 3 gives ...
3 minutes = 180 seconds
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<h3>ratio of interest</h3>
Then the desired ratio is ...
(72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180
= (36×2)/(36×5)
= 2/5
The ratio in its simplest form is 2/5.
<span>w divided by 7 1/2
Substitute variable for numbers
5 5/6 divided by 7 1/2
Convert the mixed numbers into improper fractions
35/6 divided by 15/2
Convert the division sign to multiplication while flipping the fraction 15/2 to 2/15
35/6*2/15
Multiply
Final Answer: 70/90</span>
A. 9
B. 24
C. 6
D. 16
Step-by-step explanation:
Given ratios are;
A. 2 : 3 = 6 : x
Product of mean = Product of extreme
Dividing both sides by 2
B. 4 : 7 = x : 42
Product of mean = Product of extreme
Dividing both sides by 7
C. 2x : 48 = 3 : 12
Product of extreme = Product of mean
Dividing both sides by 24
D. 12 : 15 = x : 20
Product of mean = Product of extreme
Dividing both sides by 15