Answer:
30° = π/6 radians
Step-by-step explanation:
sin θ = 1/2
θ is acute, so it is in the first quadrant. From the unit circle, sin θ = 1/2 when θ = 30°, or π/6 radians.
You will say 65/100 times 220 to get 143 (hope it helps)
Answer:
18 ounces of the 25% solution
21 ounces of the 38% solution
Step-by-step explanation:
let a be the ounces of 25% alcohol solution
let b be the ounces of 38% alcohol solution
a + b = 39
0.25a + 0.38b = 0.32(39) = 12.48
Rearrange a + b = 39:
a = 39 - b
Now we can substitute a = 39 - b into the other equation
0.25a + 0.38b = 12.48
0.25(39 - b) + 0.38b = 12.48
Simplify by distributing
9.75 - 0.25b + 0.38b = 12.48
Collect like terms
9.75 + 0.13b = 12.48
Isolate b to solve
0.13b = 2.73
b = 2.73/0.13
b = 21
Sub b = 21 into an equation to find "a"
a + b = 39
a + 21 = 39
a = 39 - 21
a = 18
Therefore we need 18 ounces of the 25% solution and 21 ounces of the 38% solution.
The answer in decimals is 89.4117647059
Your final estimated answer is 89 R 28
(aka 89, 28 Remainder)
Answer:
x = 18
Step-by-step explanation:
Given
3 + 
= 
Multiply through by the LCM of 2 and 3 to clear the fractions.
The LCM of 2 and 3 is 6, thus
18 + 2x = 3x ( subtract 2x from both sides )
18 = x
