Answer:
Ben is incorrect
The solutions are x>-3 and x < 3
Step-by-step explanation:
we have
Multiply by -1 both sides
Adds 9 both sides
The solutions are
and
-----> Multiply by -1 both sides ---->
therefore
The solution is the interval (-3,3)
Ben is incorrect
Answer:
The diameter of can is<u> 48 inches</u>.
Step-by-step explanation:
Given:
Volume of can = 6068 inches.
And height(h) = 3.3 inches.
Now, to find the diameter.
Diameter = 2 × radius
Let radius be
So, by putting the formula of volume we get the radius:
(taking the value of π=3.14)
<em>Dividing both sides by 10.362 we get:</em>
<em>Using square root on both sides we get</em>:
<em>Radius = 24.199 inches.</em>
Then, we get the diameter:
Diameter = 2 × radius
Diameter = 2 × 24.199 = 48.398 inches.
Diameter = 48 inches (rounding to nearest, inch as in the place of tenth it is 3 which is less than 5.)
Therefore, the diameter of can is 48 inches.
Answer: 152ft^2
The amount of material needed to construct the tent is 152ft^2
Step-by-step explanation:
The amount of material needed to construct a triangular tent= the surface area of the triangular tent.
S.A = area of the 2 side rectangles + area of the 2 side triangles + area of the base.
S.A = Ab + At + Ar ....1
Area of the base Ab= Length × width = 8×6 = 48ft^2
Area of the two triangles At = 2 × 0.5 × width × height
At = width × height = 6×4 = 24ft^2
Area of the two rectangles Ar = 2 × side measurement × length
Side measurement is given as 5ft.
or it can be calculated using;
Side length can be calculated using Pythagoras theorem.
Examining the figure attached, we can see that;
Side breadth b = √(h^2 + (w/2)^2)
b = √(4^2 + (6/2)^2) = √(16+9) = √25
b = 5ft
Ar = 2×5×8 = 80ft^2
From eqn1, S.A can be solved as;
S.A = 48 + 24 + 80
S.A = 152ft^2
