Answer:
49.1 cm^2
Step-by-step explanation:
The appropriate area formula is ...
area = (1/2)(side 1)(side 2)(sin(angle between))
= (1/2)(10 cm)(12 cm)·sin(55°) = 60·sin(55°) cm^2
area ≈ 49.1 cm^2
Answer:
$ 600
Step-by-step explanation:
From the question given above, the following data were obtained:
Principal (P) = $ 3000
Time (T) = 5 years
Rate (R) = 4%
Interest (I) =?
The total interest he will receive can be obtained as follow:
I = PTR/100
I = 3000 × 5 × 4 / 100
I = 60000 / 100
I = $ 600
Thus, the total interest he will receive is $ 600
So what you do is evaluate g(2) then plug that value in for x in f(x)
g(2)=2^2-6(2)-7
g(2)=4-12-7
g(2)=-15
now
f(-15)=-15+8
f(-15)=-7
f(g(2)=-7
Answer:
(17/8, -1/8)
Step-by-step explanation:
the bottom equation is equivalent to x = 2-y
so I switch the value of x in the top equation to x = 2-y
and it becomes 2*(2-y) - 6y = 5
equal to 4 - 2y - 6y = 5
-8y = 1
y = -1/8
then you substitute this value in the second equation
x + y = 2 becomes x + (-1/8) = 2
x = 2 + 1/8 = 16/8 + 1/8 = 17/8