Given : A = 24 sq feet
A = 0.5 base x height
base = x , height = x+2
A = 0.5 x(x+2) = 24 sq feet
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
To check the rest un-wrap the bracket:
x^2 + (x+2)^2 = 24
x^2 + x^2 + 4 + 4x = 24
2x^2 + 4x - 20 = 0
x^2 + 2x - 10= 0 (NO)
Likewise:
x^2 + (x+2)^2 = 100
x^2 + x^2 +4 + 4x = 100
2x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
3) x^2 + 2x - 48 = 0 (F)
To sum up: that's what apply:
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
3) x^2 + 2x - 48 = 0 (F)
Width = w
Length = 5w
Given,
Perimeter = 276 ft
5w * w = 276
w² = 55.2
--- w = 7.429670248402684 ≈ 7.43 ft
--- l = 5w = 5*7.43 = <span>37.14835124201342 </span>≈ 37.15 ft
Answer: True
Step-by-step explanation:
We can simplify each of the expressions on either side to see if they are equal.
Left side: -5+7=7-5= 2
Right side: 7+-5=7-5= 2
Yes, they are equal.
Answer:
first step - make x² the subject of the formula
x² = 25
second step :
find the square root of both sides
√x² = √25
x = 5
Step-by-step explanation:
Answer:
x=51
Step-by-step explanation:
There are two ways you can go about this
You can either say that the sum of interior angles in a triangle is equal to 180 so you do 180-39-90=51
Or you could use the exterior angle theorem, which means that 90=39+x, simplify that and you get that x=51
