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)
Answer:
I believe that Kevin is 6 years old now.
Step-by-step explanation:
I used the guess and check method to figure this out.
First, I began by making Daniel 1 years old, two years ago. Kevin was 4 times as old as Daniel two years ago, so he would be 4 at the time. Now, Daniel would be 3 and Kevin would be 6 years old. The statement that Kevin is three years older than Daniel would confirm this, because 6-3=3. Hope this helps, this is my first time answering:)
Answer:
85 cm²
Step-by-step explanation:
The base is a square with side length 5 cm. The area of this base is
A = s² = (5 cm)² = 25 cm².
If the slant height of each lateral face of the pyramid is 6 cm, then we can find the area of each such face using the area-of-a-triangle formula,
A = (1/2)(base)(height), which here is
A = (1/2)(5 cm)(6 cm) = 15 cm² per lateral side.
The total area of these sides is 4(15 cm²) = 60 cm².
Then the total surface area of the pyramid is A = 60 cm² + 25 cm² = 85 cm².
Answer x=√4+y^2 and x=-√4+y^2
Step-by-step explanation:
Just make sure to extend out your check mark.
It would be most likely rounded to the ten thousaths