Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x -----> the number of minutes
y ----> the water level in centimeters
In this problem we have a proportional relationship between the variables x and y
Find the value of k
For x=6 min, y=11 cm
-----> the slope is equal to the constant of proportionality k
The linear equation is
so
For (12,y)
we have
x=12 min
substitute in the equation and solve for y
24 x -9 or 24x - 9?
then I will answer :))
Answer:
Choice C. sin 105 = sin(60 + 45) = sin 60 cos 45 + cos 45 sin 60
Step-by-step explanation:
sin(A + B) = sin A cos B + cos A sin B
sin(105) = sin(60 + 45) = sin 60 cos 45 + cos 45 sin 60
Answer: choice C
Answer:
59°
Step-by-step explanation:
From the question given, we obtained the following:
C + (3x + 16) = 180 (sum of angle on a straight line)
5x – 54 = 3x + 16 (Altanate angles are equal)
Next, we shall determine the value of x.
This can be obtained as follow:
5x – 54 = 3x + 16
Collect like terms
5x – 3x = 16 + 54
2x = 70
Divide both side by the coefficient of x i.e 2
x = 70/2
x = 35
Finally, we shall determine the value of C as shown below:
C + 3x + 16 = 180
But, x = 35
C + 3(35) + 16 = 180
C + 105 + 16 = 180
C + 121 = 180
Collect like terms
C = 180 – 121
C = 59°
Therefore, the value of C is 59°
