Answer:
steps below
Step-by-step explanation:
Are you going to solve the value of A or just a proof the equation
cos 2A = cos² A - sin² A
2cos²A-cos2A-1 = 2cos²A - (cos² A - sin² A) - 1 = cos² A + sin² A - 1
2cos²A-cos2A-1 = 1 - 1 = 0
A: 90° or 270° or 450° .....
It will cost $45 to go 360 miles :) I hope this helped and if it does mark me brainliest!
Answer:
c. 28 liters
Step-by-step explanation:
Given tha tJanet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. Now we need to find about how many liters of the 15% solution is Januet using in the mixture.
Let the number of liters of the 15% solution is Januet using in the mixture = x
Let the number of liters of the 35% solution is Januet using in the mixture = y
Then we get equations:
x+y=35...(i)
and
(15% of x) + (35% of y) = 19% of 35.
or
0.15x+0.35y=0.19(35)
15x+35y=19(35)
3x+7y=19(7)
3x+7y=133 ...(ii)
solve (i) for x
x+y=35
x=35-y...(iii)
Plug (iii) into (ii)
3x+7y=133
3(35-y)+7y=133
105-3y+7y=133
105+4y=133
4y=133-105
4y=28
y=28/4
y=7
plug y=7 into (iii)
x=35-y=35-7=28
Hence final answer is c. 28 liters
Answer:
B) 1
Step-by-step explanation:
The smallest integer larger than 0.6 is 1.
___
The funny single-ended brackets signify the "ceiling" function. If the bent end is at the bottom, the "floor" function is indicated. The "ceiling" function returns the smallest integer not less than the given value. The "floor" function returns the largest integer not greater than the given value.
These are more commonly used than you might think. For example, the charge in a parking lot may be for a number of hours or fraction thereof. That is an expression of the ceiling function applied to hours. In this problem, that would mean that parking for 0.6 hours would be charged as 1 hour.
