Answer:
The original side length of the square was 9 ft
Step-by-step explanation:
Consider that the square was initially of side length "x" (our unknown). Then the sides were all increased by 5 ft, and now the perimeter (addition of all four sides) of the square render 56 ft.
Let's write an equation that represents the addition of the four sides of this new rectangle, and set it equal to 56 ft. Then solve for the unknown "x":

Therefore, the original side of the square was 9 ft.
Answer:
the total number of profits made at the fair was $48. each person had to pay $8 to get in. how many people were at the fair
Step-by-step explanation:
The answer is 15 in³.
The volume of the cone is:

where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone
The volume of the cylinder is:

where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone
Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂
Also:
V₁ = 5
Now, let's write two volume formulas together:

<span>

</span>
We can include V₂ into V₁:

⇒


Answer:
Step-by-step explanation:
probability of choosing a boy = 12 / 28 = 3 / 7
in % = 3 / 7 x 100 = 42,86%
probability of choosing an a student = (4 + 10) / 28 = 14 / 28 = 1 / 2
in % = 1 / 2 x 100 = 50%
F(x)=-2e^x
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855
now we have
-2 times 20.0855=-40.1711
answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)