Answer: The perimeter is 30ft.
Step-by-step explanation:
Let's define:
L = length of the longer side.
S = length of the shorter side.
P = perimeter
we know that for a common rectangle:
P = 2*S + 2*L
We aso know that:
L = 2ft + (1/3)*P
S = (1/10)*P
L = S + 9ft.
So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)
First, we can replace the third equation in the first equation, now we have a system with only two equations:
S + 9ft = 2ft + (1/3)*P
S = P/10
Now we can replace the second equation in the first equation, and get:
P/10 + 9ft = 2ft + P/3
Now let's solve this for P.
9ft - 2 ft = P/3 - P/10
7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)
(30/7)*7ft = P = 30ft.
The perimeter is 30ft.
<span>In order to determine the value of the numbers, we can set up algebraic equations to solve. For this case, we need to set up two equations since we have two unknown numbers. We do as follows:
let x = first number and y = second number
From the problem statement, we set up equations.
Equation 1 - the numbers have a difference of 0.7
x - y = 0.7
Equation 2 - the numbers have a sum of 1
x + y = 1
Solving for x and y via substitution method,
x - y = 0.7
(1-y) - y = 0.7
1 - 2y = 0.7
-2y = 0.7 - 1 = -0.3
y = 0.15 or 3/20
x - 0.15 = 0.7
x = 0.85 or 17/20
Thus, the two numbers are 0.15 and 0.85.</span>
Answer: g = 2.5
Hope it helps!
Find range ,median mode and mean of the following numbers -19,-11,-19,-18,-13,-19,-18,-11.0, 11,12
uranmaximum [27]
Answer:
Range=Highest value-lowest value
22-(-11)
22+11
33
Answer:
B) 6 units
Step-by-step explanation:
The formula of the volume of the Pyramid is 1/3×area of the base×height
1/3×70×height=140
Dividing both sides by 70
1/3×height=2
Multiplying both sides by 3
Height = 6
