It's the third one because as Kendall spent more time training or running, their distance increased
We know, Volume of a Cone = πr² h/3
v = 3.14 * (6)² * 11.4/3
v = 3.14 * 36 * 3.8
v = 429.552
Now, for 1 m³, it costs = $20
So, for 429.552 m³, it will be: 20 * 429.552 = 8591
In short, Your Answer would be $8591
Hope this helps!
Triangular prism: 2 bases and 5 faces
Pentagonal prism: 2 bases and 7 faces
It’s the second one. -4(3-8x)
Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
