Area of the square = (9 m)^2 = 81 m^2
The four circular sectors combine to form a circle with diameter 9 m, hence radius 4.5 m.
Area of the circle = π (4.5 m)^2 = 20.25π m^2
Then the area of the shaded region is
81 m^2 - 20.25π m^2 ≈ 17.4 m^2
Answer:
f(g(-64)) = -190
Step-by-step explanation:
The functions are not well written.
Let us assume;
f(x) = x+1
g(x) = 3x+1
f(g(x)) = f(3x+1)
Replace x with 3x+1 in f(x)
f(g(x)) = (3x+1) + 1
f(g(x)) = 3x + 2
f(g(-64)) = 3(-64) + 2
f(g(-64)) = -192+2
f(g(-64)) = -190
<em>Note that the functions are assumed but same method can be employed when calculating composite functions</em>
Answer:
A and B
Step-by-step explanation:
Each side in Chloe's triangle is 1.5 times the length of each side in Juan's triangle. Thus, they are 'similar' by the <u>math </u>definition of that word, by the SSS Rule for Similar Triangles.
That means they are different only in size. So, their angle measures are the same and they are the same shape.
A and B are true.
C is never true, because the sum of all 3 angles in a triangle is always 180°.
D is not true, because they are similar.
Linear fonction's equation : y = ax
So only in y = 2x
2 is the constant of <span>proportionality</span>