Answer:
The answer to your question is:
Step-by-step explanation:
(4 + 5) + 2 = 4 + (5 + 2) Associative property of addition
2(2x + 4) = 4x + 8 Distributive property
( 7 x ) 3 = 7 (x 3) Associative property of multiplication
( 8 x 2) = (x 8 2) Commutative property of multiplication
( 7 + 3) + 1 = 1 + (7 + 3) Commutative property of addition
If we draw a perpendicular line from one of the vertices of the triangle we get 2 right angled triangles each with altitude 9 ins and vertex angle = 30 degrees. So:-
cos 30 = 9 /h where h = one of the sides of the equilateral triangle
h = 9 / cos 30 = 10.392 inches
Therefore the perimeter of the triangle = 3 * 10.392 = 31.1769 ins
Answer is 31.18 inches to the nearest hundredth.
This is a strange question, and f(x) may not even exist. Why do I say that? Well..
[1] We know that f(a+b) = f(a) + f(b). Therefore, f(0+0) = f(0) + f(0). In other words, f(0) = f(0) + f(0). Subtracting, we see, f(0) - f(0) = f(0) or 0 = f(0).
[2] So, what's the problem? We found the answer, f(0) = 0, right? Maybe, but the second rule says that f(x) is always positive. However, f(0) = 0 is not positive!
Since there is a contradiction, we must either conclude that the single value f(0) does not exist, or that the entire function f(x) does not exist.
To fix this, we could instead say that "f(x) is always nonnegative" and then we would be safe.
1 reflection, 2 rotation,
Divide 7 into 5 to find each penny value.
7/5 = 1.4
Thus, 1 penny is equal to 1.4 mm
100/1.4 = 71.43
Therefore 71.43 pennies is equal to 100mm.
