⅓x² +11x-75<105
⅓x² +11x-75-105<0
⅓x² +11x -180<0
x² +33x - 540<0
(x+45)(x-12)<0
(x-12)<0 or (x+45)>0
x<12 or x >-45
answer is A
Answer:
12 pieces
Step-by-step explanation:
Total length of the board = 48 in
It must be divided into 4 pieces of equal length
This means, there will be 3 cut to have 4 pieces
Each cut will cause a waste of 3/16 in.
Total waste = 3 cut × 3/16 in
= (3*3)/16
= 9/16 in
Length of board remaining = Total length of the board - Total waste
= 48 - 9/16
= (768-9)/16
= 759/16 in
How long will each piece be after the cuts are made?
Length of each piece after the cut = Length of board remaining / 4
= 759/16 ÷ 4
= 759/16 × 1/4
= 759/64
= 11.859375
Approximately 12 pieces to the nearest whole number
The degree of the polynomial will tell you the max amount of zeros you will have. 11 in this case.
However you can also have 9,7,5,3,1 (keep subtracting by 2)
So the answer is 1.
The answer is the option b. 1.
Two sides and one angle determine one unique triangle.
If the angle is the between the two sides, you just can use the rule known as SAS, Side Angle Side.
When that is the case you use the cosine rule.
When the known angle is not between the two sides but one of the others, you use sine theorem.
Then in any case when you know two sides and one angle of a triangle the other side and angles are determined, which implies that there is only one possible triangle.
