Length is 48 ft
The perimeter of a rectangle is equal to the sum of all side’s.
2(lengths)+2(widths)= perimeter
Length=3x+4
Now given the perimeter of 140
3(3x+4)+3(x)=140
9x+12+3x=140
12x+12=140
12x=128
X= 10.7
10.7 is the width
Length=3x+4
Length =3(10.6)+4
Length=31.8+4
Length=35.8
Answer = 35.8
This can only be answered if you were given a perimeter.
1st:x
2nd x+2
3rd: x+4
(x)+(x+2) = 3(x+4)-31
distribute
2x+2 = 3x+12-31
2x+2 =3x-19
subtract 2x from each side
2 = x-19
add 19 to each side
21 =x
Answer: 21,23,25
Answer:
5750
710.7
Step-by-step explanation:
Simple interest = principal. * rate * time
Principal (p) = sum of money
1380 = p * 0.12 * 2
1380 = 0.24p
p = 1380 / 0.24
p = 5750 rupees.
The compound interest :
A = P(1 + r/n)^nt
A = final amount
n = number of compounding times per period
t = period
A = 5750(1 + 0.12/2)^2*1
A = 5750(1 + 0.06)^2
A = 5750(1.06)^2
A = 5750 * 1.1236
A = 6460.7
Hence, compound interest is :
Final amount - principal
6460.7 - 5750
= 710.7 rupees
Answer:
not a solution
Step-by-step explanation:
Substitute p = - 2 into the left side of the equation and if equal to the right side then it is a solution.
7(- 2) - 5 = - 14 - 5 = - 19 ≠ 20
Then p = - 2 is not a solution of the equation
Simplify the following:
(3 sqrt(2) - 4)/(sqrt(3) - 2)
Multiply numerator and denominator of (3 sqrt(2) - 4)/(sqrt(3) - 2) by -1:
-(3 sqrt(2) - 4)/(2 - sqrt(3))
-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
(4 - 3 sqrt(2))/(2 - sqrt(3))
Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))
(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
Answer: (4 - 3 sqrt(2)) (sqrt(3) + 2)
