Answer:
A = 78.5 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know r =5 and pi = 3.14
A = 3.14 (5^2)
A = 3.14 (25)
A = 78.5 cm^2
Answer:
f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
Answer:
θ = 36.9°
Step-by-step explanation:
Trigonometric ratios in a right triangle will be,
Sinθ =
= ![\frac{\text{AC}}{\text{AB}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAC%7D%7D%7B%5Ctext%7BAB%7D%7D)
Cosθ =
= ![\frac{\text{BC}}{\text{AB}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BBC%7D%7D%7B%5Ctext%7BAB%7D%7D)
Tanθ =
= ![\frac{\text{AC}}{\text{BC}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAC%7D%7D%7B%5Ctext%7BBC%7D%7D)
In the picture attached,
Given sides are,
AB = 5 and BC = 4
Therefore, to find the given angle θ only Cosine will be applicable.
Cos θ = ![\frac{\text{BC}}{\text{AB}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BBC%7D%7D%7B%5Ctext%7BAB%7D%7D)
= ![\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D)
θ = ![Cos^{-1}(0.8)](https://tex.z-dn.net/?f=Cos%5E%7B-1%7D%280.8%29)
θ = 36.87°
θ ≈ 36.9°
The only ratio there equal to 6:3 is 54:27
Both 54 and 27 are divisible by 9.
54/9 = 6
27/9= 3
Therefore, 54:27=6:3