Answer:
The each have to place 2 subscriptions
Step-by-step explanation:
Adriana
E (earnings) = 6 + 2*x where x is the number of subscriptions
Sophie
E (earnings) = 4 + 3x
For them to earn the same amount, their right sides must be equated.
4 + 3x = 6 + 2x Subtract 2x from both sides
4 + 3x - 2x = 6+ 2x - 2x Combine
4 + x = 6 Subtract 4 from both sides
4 - 4 + x = 6 - 4
x = 2
Answer:
36h, 60+16.2h, and $92.40.
Step-by-step explanation:
n(h)=36h because there are 3 dozen cupcakes made per hour, to get C(h) you just plug in 36h in place of n and simplify, and then for the final answer 2 is plugged into the equation from the second answer.
Answer:
y = 1/2x - 5
Step-by-step explanation:
y = 1/2x+b
-1 = 1/2(8) +b
-1 = 4+b
-5 = b
Answer:
Step-by-step explanation:
We can use the Law of Sines to find segment AD, which happens to be a leg of 
and the hypotenuse of 
.
The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:
Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is 
. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:
Now use this value in the Law of Sines to find AD:
Recall that 
and 
:
Now that we have the length of AD, we can find the length of AB. The right triangle is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio 
, where 
is the side opposite to the 30 degree angle and 
is the length of the hypotenuse.
Since AD is the hypotenuse, it must represent in this ratio and since AB is the side opposite to the 30 degree angle, it must represent in this ratio (Derive from basic trig for a right triangle and 
).
Therefore, AB must be exactly half of AD:
We know, Circumference = π × Diameter
C = 3.14 * 6
C = 18.84
In short, Your Answer would be 18.84 cm
Hope this helps!
