Given:
In triangle XYZ, x = 27 cm, y = 79 cm and .
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
Putting the given values in the above formula, we get
Taking square root on both sides.
Approx the above value to the nearest number and side length cannot be negative. So,
Therefore, the length of z is about 102 cm.
Answer:
Bagel = $0.80; Muffin = $1.25
Step-by-step explanation:
Since there are two variables (cost of a bagel and cost of a muffin) and two different sets of data, setting up a system of equations and using elimination to solve for one of the variables will give the answer to both variables.
'10 bagels and 4 muffins cost $13': 10b + 4m = 13
'5 bagles and 8 muffins cost $14': 5b + 8m = 14
In order to use eliminate one of the variables when adding the two equations together, we need to multiply the second equation by a factor of '-2':
-2(5b + 8m = 14) or -10b - 16m = -28
+ <u>10b + 4m = 13</u>
-12m = -15
m = $1.25
Solve for 'b': 10b +4(1.25) = 13 or 10b + 5 = 13
10b = 8 or b = $0.80
So, the cost of one bagel = $0.80 and the cost of one muffin = $1.25.
6x-3y=12
Step 1- move the 6x to the other side using the opposite operation (-6x)
-3y=12-6x
Step 2- divide everything by -3
y=-4+2x
Step 3- rearrange into the correct order (y-mx+b)
y=2x-4
Step A is wrong because the 12 wasn;t changed to the inverse or opposite operation (-12), while the others were changed.