Step-by-step explanation:
here,,
a=3,b=10,C=120°
c^2=a^2+b^2-2ab cos120°
=(3)^2 +(10)^2 _2 (3)(10)(-1/2) [cos120°=-1/2]
=9+100-(-30)
=109+30
=139
c=(139 )1/2=11.79
c=12
Answer:
200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.
Step-by-step explanation:
Let x mg sodium is in 1 oz of chips and and y mg is in 1 cup of soda.
∵ Bryan ate 3 oz of chips and drank 2 cups of soda for a total of 700 mg of sodium.
i.e. 3x + 2y = 700 --------(1),
Jadyn ate 1 oz of chips and drank 3 cups of soda for a total of 350 mg of sodium.
i.e. x + 3y = 350 ---------(2),
Equation (1) - 3 × equation (2),
We get,
2y - 9y = 700 - 1050
-7y = -350

From equation (1),
3x + 2(50) = 700
3x + 100 = 700
3x = 700 - 100
3x = 600

Hence, 200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.
Answer:
48% were carrot sticks.
52% were apple slices.
Step-by-step explanation:
Given that:
Total number of snacks in the tray = 25
Number of carrot sticks = 12
Number of apple slices = 25 - 12 = 13
Percent of carrot sticks = 
Percent of carrot sticks= 
Percent of carrot sticks = 0.48 * 100 = 48%
Percent of apple slices = 
Percent of apple slices = 52%
Hence,
48% were carrot sticks.
52% were apple slices.
Answer:
67
Step-by-step explanation:
d(n) = 4n + 2
= 4(5) + 2
=22
t(d(n)) = 3(22) + 1
= 67
Xm=(2+2)/2=2
Ym=(1+4)/2=2.5
(2,2.5)