Answer:
Area of rectangle = 225/2 or 112.5
Step-by-step explanation:
Given,
Consider a rectangle ABCD.
Let AC be a diagonal of rectangle of length = 15
In triangle ABC.
Sin 45° =height/hypotenuse {SinФ = height / hypotenuse}
Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)
And height is AB
Therefore, sin 45° = AB/AC
or sin 45° = AB / 15
or 1/√2 = AB /15
AB = 15/√2
Similarly we can find Base (i.e BC) using cosine.
Cos 45° = Base/Hypotenuse
Cos 45° = BC / AC
or 1/√2 = BC/15
BC = 15/√2
Hence we got length of rectangle , AB= 15/√2
And width of rectangle , BC = 15/√2
Therefore, area of rectangle = Length × Width
Area of rectangle = 15/√2 × 15/√2 = 225/2
Hence, area of rectangle = 225/2 = 112.5
Answer:
Mode: 44 (mode is biggest number)
Mean: 30 (the average between numbers)
Step-by-step explanation:
Calculating the Mean
44 + 43 = 87
25 + 8 = 33
87 + 33 = 120
120 + 30 = 150
150/5 = 30
Answer:
gof(x) = 3
Step-by-step explanation:
Given that,
f(x) = x+2 and g(x) = x+1
We need to find gof(x).
gof(x) means g[f(x)].
g[f(x)] = g(x +2)
= x+2+1
= x+3
Hence, the value of gof(x) is 3.
F(1) = -2 because the x intercept is 1 and the y intercept is -2
