We know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos
C------> cos C=[a²+b²-c²]/[2*a*b]
in this problem
a=7.6 in
b=8.6 in
c=7.4 in
C=angle V
cos C=[7.6²+8.6²-7.4²]/[2*7.6*8.6]----> 0.5887
C=arc cos (0.5887)--------> C=53.93°-------> C=53.9°
the answer is
angle V is 53.9°
A) 60 Clown fish / 5 = 12
12 x 4 = 28 Angel fish
B) 28 Angel fish / 4 = 12
12 x 3 = 36 Gold fish
C) Add all fish 28 Angel fish + 36 Gold fish + 60 Clown fish = 124 Fish in total
Answer:
Step-by-step explanation:
90.9^2 - 21.2^2 = b^2
8,262.81 - 449.44 = b^2
b = 88.39326897450959189749074160142
Answer:
50
Step-by-step explanation:
Sum Even numbers
n = 50
d = 2
a1 = 2
The last number is
an = a1 + (n-1)d
an = 2 + (50 - 1)*2
an = 2 + 49 * 2
an = 2 + 98
an = 100
Sum of the even numbers
Sum = (a1 + a50)*n/ 2
Sum = (2 + 100)*50/2
sum = 102 * 25
sum = 2550
Sum of the first 50 odd numbers
a1 = 1
n = 50
d = 2
l = ?
Find l
l = a1 + (n - 1)*2
l = 1 + 49*2
l = 99
Sum
Sum = (1 + 99)*50/2
Sum = 2500
The difference and answer is 2550 - 2500 = 50
