Answer:
The chocolate bar contains 29.2 grams of cocoa.
Step-by-step explanation:
Given that Lucy’s chocolate bar is 54% cocoa and the weight of the chocolate bar is 54 grams.
Hence, the amount of cocoa in the chocolate bar is given by
54% of 54 grams
54% percentage means 54/100 = 0.54
Hence, the amount of cocoa in the chocolate bar is

When rounded to the nearest tenth, 29.16 should be equal to 29.2
Hence, the chocolate bar contains 29.2 grams of cocoa.
Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360
Given:
A triangle ABC.
The given expression for b is:

To find:
The expression that is equivalent to b.
Solution:
According to the Law of Cosines,

It can be written as:
...(i)
We have,
...(ii)
On comparing (i) and (ii), we get




Therefore, the required values are
.
Answer:
4=????????????
Step-by-step explanation: