32.
V = L*w*h
Where:
V= Volume
L= Length = x+5
w= width = x-2
h= height = 6
Replacing with the values given:
V= (x+5) * (x-2) * 6
V =[ (x*x) + (x*-2) + (5*X) +5*-2) ] * 6
V= [ x^2 - 2x + 5x - 10 ] * 6
V= [ x^2 + 3x - 10] *6
V= (x^2*6) + (3x*6)+ ( - 10 * 6)
V= 6x^2 + 18x - 60
Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are 
is
Putting and , we get
Now,
and 
and 
and 
, so it is an obtuse angle and 
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
I think that would be 1 by 3 feet
3 is my answer
What are the choices here
Answer: 30°, 67° e 83°.
Step-by-step explanation: The angles are (2x + 16)/5 , x e x + 16°
Adding all the angles, comes:
(2x + 16)/5 + x + x + 16° = 180° ;
2x + 16° + 5x + 5x + 80° = 900° ;
12x = 900° - 16° - 80° ;
12x = 804°° ;
x = 804°/12 ;
x = 67°
So, the first angle is (2,67 + 16)/5 = 30°, the second is 67° and the third is 83°.
