Answer:
A) A(t) = 4500*π - 1600*t
B) A(4) = 7730 in³
C) t = 8,8 sec
Step-by-step explanation:
The volume of the sphere is:
d max = 30 r max = 15 in
V(s) = (4/3)*π*r³ V(s) = (4/3)*π* (15)³
V(s) = 4500*π
A) Amount of air needed to fill the ball A(t)
A(t) = Total max. volume of the sphere - rate of flux of air * time
A(t) = 4500*π - 1600*t in³
B) After 4 minutes
A(4) = 4500*π - 6400
A(4) = 14130 - 6400
A(4) = 7730 in³
C) A(t) = 4500*π - 1600*t
when A(t) = 0 the ball got its maximum volume then:
4500*π - 1600*t = 0
t = 14130/1600
t = 8,8 sec
Answer:
There is a 47cm difference between the two....
So you just added 28cm to 19cm to get 47cm....
Because 19-(-28) is 19 + 28.
Hope this helps :D
Step-by-step explanation:
Answer:
mean-11
mode-none
range-10
median-12
Step-by-step explanation:
3. Look at the picture.
We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:


4.
Look at the picture.
Use Pythagorean theorem:



5.
TRUE: 1; 2; 4
6.
We find a slope of the line OP:

We have:

Now, we must find the slope of the line perpendicular to the line OP.
We know:

therefore

So. We have the answer! :)
Answer:
100°
Step-by-step explanation:
Total angle in a triangle is 180
∠C = 180 - 20 - 60
= 180 - 80
= 100