Answer:
14 cm
Step-by-step explanation:
Given:
A mug can hold 13.46 oz of coffee.
The radius of the mug is 3 cm.
Given that 1
equals 0.034 oz.
Question asked:
What is the height of the mug to the nearest centimeter ?
Solution:
Given that 1
equals 0.034 oz.
By unitary method:
0.034 oz = 1 
1 oz = 
13.46 oz =
A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88
. Now we can find the height of the mug by using volume of cylinder formula:
volume of cylinder = 

By cross multiplication:

By dividing both side by 198

Therefore, height of the mug to the nearest centimeter is 14 cm.
Solve by substitution


Just plug in y=-x-1 into y+x=3
So we get:

Simplify that:

And since that is not true, that means this system of equations has no solutions!
5/3+3x+4= 8
= 3x= 4-5/3
= 3x= 7/3
= x= 7/9
Answer: The answer is F.
Step-by-step explanation: It’s F because the number would be multiplied equally because all of the number are multiplied by 2. The rest of them either have variables or variables with numbers in them, which looks kind of funky, so F is the answer. I hope you get it right :). Sorry, if I was late for the reply and if you already figured it out… :(.
Answer:
Step-by-step explanation:
You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...
sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)
-sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)
Of course, you know that ...
sin(π/4) = cos(π/4) = (√2)/2
cos(π/3) = 1/2
sin(π/3) = (√3)/2
So, the desired value is ...
sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)
Comparing this form to the desired answer form, we see ...
A = 2
B = 3