Answer:
1 5/12
Step-by-step explanation:
12 1/3 - 10 11/12
We need to get a common denominator of 12
12 1/3 * 4/4 - 10 11/12
12 4/12 - 10 11/12
We need to borrow from the 12 (the whole number) because the 2nd fraction is bigger than the first
12 becomes 11 and the 1 becomes 12/12
11+ (12/12 + 4/12) - 10 11/12
11 16/12 - 10 11/12
Subtract the whole numbers
11-10 =1
Subtract the fractions
16/12 - 11 /12 = 5 /12
We are left with 1 5/12
Answer:
breadth = 8, length = 32
Step-by-step explanation:
perimeter = 2 x (length x breadth)
= 2 x ((24 + b) + b))
= 2 x (24 + 2b)
= 48 + 4 b
48 + 4b meters costs rupees 2400
each meter costs rupees 30
so,
30 x (48 + 4b) = 2400
1440 + 120b = 2400
120b = 960
b = 8
the breadth is 8m, the length is 8 + 24 = 32m
Hello,
If we want to factor the expression, we have to solve
3x² + 10x + 8 = 0
a = 3 ; b = 10 ; c = 8
∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0
x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2
x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3
Factor :
a (x - x1)(x - x2)
= 3(x + 2)(x + 4/3)
= (x + 2)(3x + 4)
A. Area of ABCD - Area of DGA = Area of DEFG
s^2 - 1/2bh = s^2
(5)^2 - 1/2(4)(3) = (3)^2
25 - 1/2(12) = 9
25 - 24 = 9
1 not equal to 9
B. Area of ABCD - Area of GHIA = Area of DGA
s^2 - s^2 = 1/2bh
(5)^2 - (4)^2 = 1/2(4)(3)
25 - 16 = 1/2(12)
9 not equal to 6
C. Area of ABCD + Area of DGA = Area of GHIA
s^2 + 1/2bh = s^2
(5)^2 + 1/2(4)(3) = (4)^2
25 + 1/2(12) = 16
25 + 6 = 16
31 not equal to 16
D. Area of DEFG + Area of GHIA = Area of ABCD
s^2 + s^2 = s^2
(3)^2 + (4)^2 = (5)^2
9 + 16 = 25
25 = 25
The answer is D.
Answer:
4,00 pounds
Step-by-step explanation:
