A student is building a diamond-shaped kite in his science class. To construct the kite, the student has assembled four congruen
t right triangle pieces of fabric to form the diamond. The diagonals of the kite are perpendicular to one another. If angle ABC on the side of the kite is 2004-02-02-01-00_files/i0310000.jpg, what will angle BCD on the tail end of the kite be? 
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Given:
The number is .
To find:
The location of the given number of the number line.
Solution:
We have,
It can be written as
It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.
The mixed fraction form of given number is
Divide the number in 5 equal parts between two consecutive integers.
Now each unit represents .
Since , therefore, it is 2 units left from -1.
The number line is given below.
Answer:
The volume of the metal used is 5277.9 cm³.
Step-by-step explanation:
The volume of a cylinder is given by:
Where:
r: is the radius
h: is the height = 50 cm
The volume of metal () can be found by subtracting the internal volume (
) from the external volume (
):
The external radius is given by the sum of the internal radius with the tickness:
Hence, the volume is:
Therefore, the volume of the metal used is 5277.9 cm³.
I hope it helps you!