Answer: 4
Step-by-step explanation:
Given
![y=[x+1]](https://tex.z-dn.net/?f=y%3D%5Bx%2B1%5D)
where,
Greatest integer function
Put 
![\Rightarrow y=[3.001+1]=[4.001]\\\Rightarrow y=[4+0.001]=4](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%5B3.001%2B1%5D%3D%5B4.001%5D%5C%5C%5CRightarrow%20y%3D%5B4%2B0.001%5D%3D4)
Thus, the value of y is 4
Answer:
2a2 • (a + 1) • (a - 3)
Step-by-step explanation:
Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
-12/16 <span>< </span>3/4 <span>= </span>9/12 <span>< </span>2 <span>< </span>3 5/8
We have m(<CBO) = (1/2) · m(<CBE) = (1/2) · ( x + z );
In the same way, m(<BCO) = (1/2) ·( x + y);
m(<BOC) = 180 - [(1/2) · ( x + z ) + (1/2) ·( x + y)] = 180 - (1/2)· ( x + x + y + z );
But, x + y + z = 180;
Then, m(<BOC) = 180 - (1/2)·( x + 180 );
Finally, m(<BOC) = 90 - (1/2)·x;
So, m(<BOC) = 90 - (1/2)·m(<BAC).