2/5 of the instruments in the marching band are brass one third or percussion and the rest are wood ones 1/8 of the brass instru
1 answer:
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Answer:
f ○ g(x) = x and g ○ f(x) = x is the correct composition
Step-by-step explanation:
INVERSE FUNCTIONS: Two functions are said to be inverse of each other if for every y = f(x), there exists a function g(x),
such that x = = g(y)
Now, here if we need to show tha two functions f(x) and g(x) are inverse functions of each other , then show that for every x:
1. f o g(x) = f(g(x))= x
2. g o f(x) = g(f(x)) = x
If any two functions satisfy these two conditions, then they are inverse of each other.
Answer:
Option (c) is correct.
The approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters
Step-by-step explanation:
Given:A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases.
also, Given: The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters.
We have to find the approximate total area of the plastic triangles on the spinner.
Perimeter of triangle is the sum of sides.
Since given the triangle to be isosceles .
Let the two equal side be x cm, then,
Perimeter of given triangle = 1 0
⇒ x + x + 2 = 1 0
⇒ 2x = 8
⇒ x = 4
Thus, side of triangle is 4 cm.
Now we find the area of isosceles triangle.
We first find the height, using Pythagoras theorem,
Putting values, we get,
Solving we get,
Thus, area of one isosceles triangle
area of one isosceles triangle
On solving we get,
Approximate area of one plastic triangles on the spinner is 3.9 square centimeters.
Thus, the approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters
Option (c) is correct.