Answer:
90°, 51° and 39°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Let the smallest angle be x then the other angle is x + 12, thus
x + x + 12 + 90 = 180, that is
2x + 102 = 180 ( subtract 102 from both sides )
2x = 78 ( divide both sides by 2 )
x = 39
The other angle is 39 + 12 = 51
The 3 angles are 90°, 51° and 39°
I believe it would be a 100 correct me if I’m wrong since every one box equals 20 books 5 boxes would contain 100.
Answer:
10.8 or 10 4/5
Step-by-step explanation:
4 1/2 * 2/25 = 10 4.5
Answer:
A) Dimensions;
Length = 20 m and width = 10 m
B) A_max = 200 m²
Step-by-step explanation:
Let x and y represent width and length respectively.
He has 40 metres to use and he wants to enclose 3 sides.
Thus;
2x + y = 40 - - - - (eq 1)
Area of a rectangle = length x width
Thus;
A = xy - - - (eq 2)
From equation 1;
Y = 40 - 2x
Plugging this for y in eq 2;
A = x(40 - 2x)
A = 40x - 2x²
The parabola opens downwards and so the x-value of the maximum point is;
x = -b/2a
Thus;
x = -40/2(-2)
x = 10 m
Put 10 for x in eq 1 to get;
2(10) + y = 40
20 + y = 40
y = 40 - 20
y = 20m
Thus, maximum area is;
A_max = 10 × 20
A_max = 200 m²
x = [-3 +/- √(3^2 - 4*1*2) ] / 2
= [- 3 + √( 1)] / 2 , [- 3 - √( 1)] / 2
= -2/2 , -4/2
= [-1, -2} answer
