<h3>
Answer:</h3>
- left picture (bottom expression): -cot(x)
- right picture (top expression): tan(x)
<h3>
Step-by-step explanation:</h3>
A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.
_____
You can make use of the relations ...
... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)
... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)
... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)
Then you have ...
and ...
The answer is 13/20. So 3/5 is equal to 6/10 so you're looking for the fraction that's half of 7/10 and 6/10 which is 6.5/10 but you can't use decimals in a fraction so you multiply both sides by 10 which would equal 65/100 and simply, and that would be 13/20.
Your max amount for this is $20. Let's say x represents the number of gallons.
20 ≥ 3.2x
x = 6.25 gallons
If they're asking for integers or whole numbers, you'd round down to 6 because you only have enough money for 6 full gallons. If you rounded up to 7, you wouldn't be able to fill it up completely because then you'd be over your $20.00 budget for gas.
Answer:
Actual length of wall = 30ft
Step-by-step explanation:
We have scale of a room as 3 inch for 5ft.
We can write scaling factor as:
Scaling factor = 3 /60 (Since 5ft = 60 inches )
Scaling factor = 1/20
Now,
a wall in the blueprint is 18inch.
So actual length of wall can be determined by dividing 18 inch by the scale factor.
i.e actual length of wall = 18 / scale factor = 18 / (1/20)
actual length of wall = 18* 20 = 360 inch = 30ft (Since 360 inch = 30ft)
Hence Actual length of wall = 30ft
Answer:
it would be probably the letter M