Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
a) Negative correlation
Negative correlation corresponds to points that move down as you go from left to right on the scatter plot.
b) Positive correlation
Positive correlation corresponds to points that move up as you go from left to right on the scatter plot.
c) No correlation
Scattered points on the scatter plot make no relationship.
<span>5x^2 + 5y^2 + 10x − y = 0 it is the same of </span>
<span>x^2 + y^2 + 2x −1/5y = 0
and then </span>
(x + 1)^2 - 1+ (<span><span>y−1/10)^2 -1/100=0
</span> </span>(x + 1)^2 + (<span>y −1/10)^2 =(101/100)
the center is C(-1, 1/10), and the radius is R= sqrt(101)/10
</span>
Answer:
m∠RPS = 38°.
Step-by-step explanation:
It is given that ray PT is the angle bisector of angle RPS. It means PT divides the angle RPS in two equal parts.
Now, it is clear that
Therefore, the measure of angle RPS is 38°.
