Answer:
Part a) The volume of the air is 
Part b) The volume of the plastic is 
Step-by-step explanation:
we know that
The volume of the sphere is equal to
step 1
Find the volume of the complete ball (air +plastic)
we have
------> the radius is half the diameter
substitute
step 2
Find the volume of the air
we have that
The plastic is 2 mm thick
Convert to cm
2 mm=2/10=0.2 cm
so
The radius of the interior of the ball is
substitute
-----> this is the volume of the air (interior of the ball)
step 3
Find the volume of the plastic
we know that
The volume of the plastic is equal to the volume of the complete ball minus the volume of the air
so
5) The height of a rocket after it is launched
For this case, what you should do is remember the kinematics expressions where we have:
a
v = a * t + vo
y = a * t ^ 2 + vo * t + i
Where,
a: acceleration
v: speed
y: vertical position
t: time
vo: initial speed
yo: initial position
We observe that the expression for the given position is given by a quadratic expression.
Answer:
Step-by-step explanation:
A rectangle has 4 sides.
2 of them are lengths and 3 of them are widths.
We can simply use coordinate geometry (without graphing) to find side lengths of the rectangle. We will use Distance Formula.
We can find all the 4 lengths by using Distance Formula from points:
W and X
X and Y
Y and Z
W and Z
Note, that we don't need to find all 4 of them individually, because 2 are lengths (same) and 2 are widths (same). Thus we can find
Distance of WX, which would be same as distance of YZ
also
Distance of XY which would be same as distance of WZ
<em><u>Note:</u></em> Distance Formula is 
where D is the distance, x_1, y_1 is the first coordinate points and x_2,y_2 is the second coordinate points
Hi there!
Since ST is a tangent to the circle, we can use the relationship: tangent squared = external secant segment x entire secant segment.
WORK:
(I will be using x in place of ST)
x^2 = 7(23 + 7)
x^2 = 7(30)
x^2 = 210
x = squareroot(210) or approximately 14.5 inches
Hope this helps!! :)
