Answer:
The shelf is not a right triangle
Step-by-step explanation:
Given

Required
Determine if it is a right triangle
To do this, we make use of Pythagoras theorem which implies that; the square of the longest side = the sum of the square of the two other sides.
So, we have:

Evaluate all squares


The above is not true because:

<em>Hence, the shelf is not a right triangle</em>
Answer: = 
Step-by-step explanation:
The confidence interval for population proportion(p) is given by :-
(1)
It is also written as :
(*)
The given confidence interval for population proportion :
(2)
Comparing (1) and (2) , we get
Lower limit =
(3)
Upper limit =
(4)
Adding (3) and (4) , we get

Put value of
in (2) , we get

Put values of
and E= 0.111 in (*) , we get
Required form = 
Answer:
You have to eliminate one of the variables when the equations are added.
A) x + 2y + z = 10
B) 2x -y +3z = -5
C) 2x -3y -5z = 27
We mulutiply A) by 2 then add it to B and C
A) 2x + 4y + 2z = 20 and the sum =
6x = 42 Luckily, the "y" and "z" variables cancel out and we find:
x = 7
Then we use x =7 in calcucating equation A) and B)
A) 2y + z = 3
B) -y + 3z = -19
THEN solve for y and z by eliminating variables.
Step-by-step explanation: