The answer is 0. While the answer for n is approximately 2.384503, there are no EXTRANEOUS solutions. Again, the answer is a.) 0
Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.
Step-by-step explanation:
Let x represent the number of ounces that a small bottle holds.
Let y represent the number of ounces that a large bottle holds.
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that
2x + 2y = 76 - - - - - - - - - - - - 1
The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that
4x + y = 83 - - - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
4x + 4y = 152
4x + y = 83
Subtracting, it becomes
3y = 69
y = 69/3 = 23 ounces
Substituting y = 23 into equation 1, it becomes
2x + 2 × 23 = 76
2x + 46 = 76
2x = 76 - 46 = 30
x = 30/2 = 15 ounces
Answer:
Step-by-step explanation:
So, according to the law of Sines, we have

In our case, we have S and R, so...

And we want to isolate R...

the angle of R is then 75.90 degrees.
Answer:
Second option is the correct answer.
Step-by-step explanation:

Answer:
x=12 ADB= 56 BDC= 54
Step-by-step explanation:
ADB and BDC are complementary, so they add up to 90 degrees. In other words ADB+BDC= 90 So I can input my knowns into the equation
(3x+10) + (4x-4) = 90
I combined like terms to give me 7x+6=90
Then I subtract 6 from both sides giving me 7x=84
Last I divide 7 on both sides. x=12
Then I input the x (12) into the equation and solve it from there
3(12)+10 and 4(12)-4
3(12)+10=56
4(12)-4=54
. . . I think. Hope this helps!