Answer:
3
Step-by-step explanation:
I think its three i dont do alot of this but yea
Answer:
see below
Step-by-step explanation:
20x^3+8x^2-30x-12
Factor out the greatest common factor 2
2 (10x^3+4x^2-15x-6)
Then factor by grouping
2 ( 10x^3+4x^2 -15x-6)
Factor out 2 x^2 from the first group and -3 from the second group
2 ( 2x^2( 5x+2) -3( 5x+2))
Factor out ( 5x+2)
2 ( 5x+2) (2x^2-3)
The 2 can go in either term to get binomials
( 10x +4) (2x^2-3)
or ( 5x+2) ( 4x^2 -6)
Answer:
The sample proportion is 0.19815
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound. The sample proportion is the halfway point between these two bounds, that is, the sum of the bounds divided by 2.
In this problem, we have that:
Lower bound: 0.1759
Upper bound: 0.2204
Sample proportion:
(0.1759 + 0.2204)/2 = 0.19815
The sample proportion is 0.19815
1) 110+30+a = 180
a = 180-140 = 40
Obtuse angled triangle
2) 50+50+C = 180
C=180-100 =80
Acute angled triangle
3) 45+45+b =180
b =180-90 = 90
Right angled triangle
4) 45+60+C = 180
C = 180-105 =75
Acute angled triangle
5) 94+47+b =180
b = 180-141=39
Obtuse angled triangle
6)81+53+a = 180
a =180-134 = 46
Acute angled triangle
7) 38+45+b =180
b = 180-83 =97
Obtuse angled triangle
8) 36+54+C =180
C =180-90 = 90
Right angled triangle.
Answer:
D) b = 
Step-by-step explanation:
First, move all the terms that do not include b to the left side with S:
S = 2ab + 2bc + 2ac
S - 2ac = 2ab + 2bc
Now, factor out 2b from the right side:
S - 2ac = 2b(a + c)
Divide both sides by 2(a + c):
b = 
Finally, multiply out the denominator:
b =
