Answer:
The complete question is defined in the attached file please find it.
Step-by-step explanation:
For question 1:

For question 2:
For question 3:

For question 4:

For question 5:

Answer:
Both f(x) and g(x) have the same output value at x = 5
Step-by-step explanation:
When we are writing a function, while x gives the input value, writings like f(x), g(x) or h(x) will represent the output values of the input value of x
Now, looking at the relation, we are told that the value of f(x) = g(x) at x = 5
What this mean is that at x = 5; the output value of g(x) is the same as the output value of f(x)
Hence, we can conclude that both functions have the same output value at the given input value of x = 5
Three lines given -- it's a natural for the cos(theta) law. A small hint: I think the preferred way of doing it is to use the cos(theta) law twice. It will give you a definite answer.
Find G first
g = 6 yd
h = 7 yd
f = 5 yards.
g^2 = h^2 + f^2 - 2*h*f*cos(G)
6^2 = 7^2 + 5^2- 2*7*5*cos(G)
36 = 49 + 25 - 70*Cos(G)
36 = 74 - 70*cos(G)
-48 = - 70 * cos(G) Divide by -70
-38/-70 = cos(G)
0.5429 = cos(G)
cos-1(0.5429) = G
G = 57.12
Now find H
h^2 = g^2 + f^2 - 2*g*f*cos(H)
7^2 = 5^2 + 6^2 - 2*5*6*cos(H)
49 = 25 + 36 - 60cos(H)
49 =61 - 60*cos(H)
Cos(H) = -12 / - 60
Cos(H) = 0.2
H = cos-1(0.2)
H = 78.46
F can be found because every triangle has 180 degrees
F + 78.46 + 57.12 = 180
F + 135.58 = 180
F = 180 - 135.58
F = 44.41
A <<<< Answer.
Step-by-step explanation:
w = 2
x = 5
y = 8
z = 3
= x² + 2y ÷ w + 3z
= (5)² + 2(8) ÷ (2) + 3(3)
= 25 + 16 ÷ 2 + 9
= 25 + 8 + 9
= 42
Answer:
530
Step-by-step explanation:
870-340 = 530
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