Answer:
The volume of the cylinder is 2520.64ft³
Step-by-step explanation:
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 19ft
π = 3.14
r = radius = 6.5ft
v = (π * r²) * h
we replace with the known values
v = (3.14 * (6.5ft
)²) * 19ft
v = (3.14 * 42.25ft²) * 19ft
v = 132.665ft² * 19ft
v = 2520.64ft³
The volume of the cylinder is 2520.64ft³
If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2
Answer:
Check Explanation
Step-by-step explanation:
The map isn't available, but, one can draw this bearings with the descriptions given
Angles for bearings are usually drawn, reading from the north direction.
A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.
For the sketch on the map.
On The map, draw a four-cardinal points' cross at the stadium draw a line from the bearing 050° from the stadium's four cardinal points' cross. Leave the line as it is.
Then, draw another four cardinal points' cross at the hospital and draw a line from the bearing 300° from the hospital's four cardinal points' cross.
Wherever the line from the hospital meets the line from the stadium, is where the University is located.
Hope this Helps!!!!
I think it could be 40° or 130°. Im not 100% sure however because i dont know how much all the numbers add up to. It could either be 180° or 270°
Answer:
3x+3
Step-by-step explanation:
