.1 is the rational number
Answer:
Step-by-step explanation:
The room is rectangular in shape. The formula for determining the area of a rectangle is expressed as
Area = length × width
The rectangular hotel room is 3 meters by 5 meters. The area of the room would be
Area = 3 × 5 = 15 square meters
The owner of the hotel wants to re carpet the room with carpet that cost $15.00 per square meter. This means that the cost to re carpet the room would be
15 × 15 = $225
Answer C : 3x^2+7xy-2y^2
equivalent to the following expression
Combine like terms
2x^2 + x^2 is 3x^2
4xy+3xy is 7xy
-y^2-y^2 is -2y^2
So expression becomes
Answer C is correct
Answer:
the Largest shed dimension is 13.5 ft by 13.5 ft
Largest Area is 182.25 ft²
Step-by-step explanation:
Given that;
Perimeter = 54 ft
P = 2( L + B ) = 54ft
L + B = 54/2
L + B = 27 ft
B = 27 - L ------------Let this be equation 1
Area A = L × B
from equ 1, B = 27 - L
Area A = L × ( 27 - L)
A = 27L - L²
for Maxima or Minima
dA/dL = 0
27 - 2L = 0
27 = 2L
L = 13.5 ft
Now, d²A/dL² = -2 < 0
That is, area is maximum at L = 13.5 using second derivative test
B = 27 - L
we substitute vale of L
B = 27 - 13.5 = 13.5 ft
Therefore the Largest shed dimension = 13.5 ft by 13.5 ft
Largest Area = 13.5 × 13.5 = 182.25 ft²
Reshma's age = x
Reshma = x + 5
Reshma's father= 3x + 5
x + 5 + 3x + 5 = 70
4x + 10 = 70
4 x = 60
x = 15
So Reshma's age currently is 15 and 3(15), which is 45, is her father's age.
