Answer:
The most helpful representation would be option C.
Step-by-step explanation:
The horizontal distance traveled corresponds to one of the roots of the quadratic equation.
h(x) = -0.01(x-150)(x+4)
In this case, option c presents the roots of the polynomial, which answers are
x = -4
x = 150
Since we are talking about positive distances, the first option gets discarded.
So the horizontal distance is x = 150 feet
Answer:
Step-by-step explanation:
Surface area of objects with flat surfaces like this is simply the area of each surface added together, so let's get to work.
Both have 6 faces, so we will be adding six values together for each.
Container A:
Hopefully you can imagine the six different faces. It's kinda like a cereal box.
The front and back of a cereal box have the same area, as do the two sides and the top and bottom, so that makes it a little easier.
Front and Back: 28 * 36 = 1008
Sides: 36*6 = 216
Top and Bottom: 6*28 = 168
Let me know if you don't understand how I did any of that. Anyway, since there is a matching face for each we add them all together twice.
1008*2 + 216*2 + 168*2 = 2784 in^2
Container B has a similar setup, I won't write out everything like I did unless you want me to work it out with you.
2(16*12+16*22+22*12) = 1616 in^2
So since Container A has a surface area of 2784 and Container B has a surface area of 1616 it's obvious container A has a larger surface area
Answer:
(
7
n+
3
) (
n
+
7
)
Step-by-step explanation:
factor by grouping
Hello!
The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³
A 12 cm cone with a dome on top of it that has an 8 cm diameter
Data: (Cone)
h (height) = 12 cm
r (radius) = 4 cm (The diameter is 8 being twice the radius)
Adopting: 
V (volume) = ?
Solving: (Cone volume)




Note: Now, let's find the volume of a hemisphere.
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 4 cm
Adopting: 
If: We know that the volume of a sphere is
, but we have a hemisphere, so the formula will be half the volume of the hemisphere 
Formula: (Volume of the hemisphere)

Solving:





Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)
Volume of the figure = cone volume + hemisphere volume
Volume of the figure = 200.96 cm³ + 133.97 cm³

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I Hope this helps, greetings ... Dexteright02! =)