Answer: Santa's speed in still air is 6 miles per minute
Speed of the wind is 1 mile per minute
Step-by-step explanation:
Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y
It takes Santa 5 minutes to fly 35 miles with the wind.
Speed = distance / time
It means that
x + y = 35/5 = 7
It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y
Speed = distance/time. Therefore,
x - y = 35 /5 = 5 - - - - - - 1
Substituting x = 7 - y into equation 1, it becomes
7 - y - y = 5
-2y = 5 - 7 = -2
y = -2/-2 = 1
x = 7 - y = 7 - 1
x = 6
V=hpir^2
h=5
r=8
v=5pi8^2
v=5pi64
v=320pi cubic inches
Answer:
8
+ 3 + -6x
Step-by-step explanation:
First we need to find the like terms so that we could add them. In this case the like terms are,
1. 6x , -2x , -10x
So, these are the only terms that we can add in this expression.
Hence,
=> 8 + 3 + (6x - 2x - 10x)
=> 8 + 3 + -6x
And this is as simple as this expression can go until we find the value of "x" which is not yet told.
Hope my answer helped.
Answer:
The circle at point-2 is not filled which means-2 is not included whereas the circle at point 5 is filled which means 5 is included in the interval of the given line.
The interval notation for the above line
<h3>-
2<x≤5</h3>
The volume of the triangular prism is 66 cubic inches.
In order for us to know the volume of the triangular pyramid, first we need to know the ratio of the volume of triangular prism and the volume of the triangular pyramid.
Volume of the pyramid = 1/3 * volume of the prism.
Volume of the pyramid = 1 / 3 * 66
<span>Volume of the pyramid = 22 cubic inches.
</span>
So the volume of the triangular pyramid is 22 cubic inches.
