Answer:
400
Step-by-step explanation:
12 / 0.03
Divide 12 by 3 = 4.
Move the decimal place over 2 to the right.
400.
Answer: The coordinates of the circumcenter is
.
Explanation:
The coordinates of triangle DEF are D(1,3) E (8,3) and F(1,-5).
Distance formula,




Since triangle follows pythagoras theorem,

Therefore the given triangle is a right angle triangle.
Or plot these points on a coordinate plane. From the figure we can say that the triangle DEF is a right angle triangle.
The circumcenter of a right angle triangle is the midpoint of the hypotenuse.
The hypotenuse is EF. The midpoint of EF is,

Therefore, the coordinates of the circumcenter is
.
Answer:
The length of the other piece is 38 inch.
Step-by-step explanation:
Given:
A 190 inch pipe is cut into 2 pieces. One piece is 4 times the length of the other.
Now, to find the length of the other piece.
Let the length of the other piece be
.
And the length of one piece be
.
The total length of the pipe = 
According to question:

⇒
<em>Dividing both sides by 5 we get:</em>
⇒
Therefore, the length of the other piece is 38 inch.
Using the identity cos(2x) = 2 cos^2x - 1
18 + 9(2 cos^2 x - 1) = 27 cos x
18cos^2 x - 27 cos x + 9 = 0
2 cos^ x - 3 cos x + 1 = 0
(2 cos x - 1 )(cos x - 1 ) = 0
cos x = 1/2 , 1
x = pi/3, 5pi/3, 0, 2pi answer