Morgan can write 6 pages in 3/4 of an hour.
X^2+(y-2)^2=4 is a circle centered at (0,2) with radius 2.
Thus, when you rotate it around the y-axis (around x=0),
you get a sphere with radius 2.
((which is centered at (x,y,z)=(0,2,0), if you take y to be
the vertical axis ... not that you need to know this for volume))
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Volume of a sphere formula: V = (4/3)πr^3.
(0, 4) and (2, 0) are the coordinates
Answer:
look at explanation
Step-by-step explanation:
PART C; The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:
-$23.50.
Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is
-$23.50 – (-$23.50 × 0.2).
Further simplify the expression by factoring -$23.50 from both terms:
-$23.50 – (-$23.50 × 0.2)
=
-$23.50(1 – 0.2)
=
-$23.50(0.8).
Answer:
Shortest distance from the mountain is 3.17 miles.
Step-by-step explanation:
From the figure attached,
Let a mountain is located at point A.
Angle between the mountain and point B (∠B) = 53°
Angle between the mountain and point C (∠C) = 78°
Distance between these points = 3 miles
Since, m∠A + m∠B + m∠C = 180°
m∠A + 53° + 78° = 180°
m∠A = 180°- 131° = 49°
By applying sine rule in triangle ABC,
AC = 
AC = 3.17 miles
AB = 
AB = 3.89 miles
Therefore, shortest distance from the mountain is 3.17 miles.
