60*2= 120
60/2= 30
120+30= 150
40/2= 20
150+20= 170
You drove 170 miles.
I hope this helped!
Answer:
The 15 pound bag is a better deal
Step-by-step explanation:
25 pound bag:
$1.2 per pound
15 pound bag:
$1.19 per pound
1/x+2-1/2=2-x-2/2(x+2)=-x/2x+4
(-x/2x+4)/x=(-x/2x+4)*(1/x)=-1/2x+4
lim x--->0 (-1/2x+4)=-1/4
Answer:
Step-by-step explanation:
This is right triangle trig. The reference angle is 12 in one case and 60 in the other, but the horizontal distance doesn't change in either one, and neither does what you are looking for, which is the height of the balloon in both cases of the angle differences. And if you're looking for the difference in the height, you'll find both and subtract the smaller from the larger.
The height is across from the reference angle and the horizontal distance is adjacent to the reference angle, so the trig identity you want is tangent. Set up according to the angle measure of 12 degrees:
and
280 tan(12) = x
x = 59.5 ft
Now for the angle measuring 60 degrees:
and
280 tan(60) = x
x = 484.9
The difference between the two heights is 425.5 feet.
Answer:
Now if we increase the radius by a factor of 2 the new volume would be:
And we can find the increase factor for the volume like this:
Then if we increase the radius by 2 the volume increase by a factor of 4
If we reduce the radius by a factor of 2 then we will have that the volume would be reduced by a factor of 4.
On the figure attached we have an illustration for the cases analyzed we see that when we increase the radius the volume increase and in the other case decrease.
Step-by-step explanation:
For this case we have the following info given:
and we can find the initial volume:
And replacing we got:
Now if we increase the radius by a factor of 2 the new volume would be:
And we can find the increase factor for the volume like this:
Then if we increase the radius by 2 the volume increase by a factor of 4
If we reduce the radius by a factor of 2 then we will have that the volume would be reduced by a factor of 4.
On the figure attached we have an illustration for the cases analyzed we see that when we increase the radius the volume increase and in the other case decrease.