Answer:
8
Step-by-step explanation:
h=3V
πr2=3·410.3
π·72≈7.99607
Your answer is B) 12y = 4
You can find this by first rearranging the equation x + 3y = -2 to the form ‘x =‘:
x = -2 - 3y.
Then you can substitute this into the second equation, 2x - 6y = -8, and expand and solve:
2(-2 - 3y) - 6y = -8
-4 - 6y - 6y = -8
-12y = -4
Now because we know that -12y = -4, this is equivalent to 12y = 4, which is option B.
I hope this helps! Let me know if you have any questions :)
The answer is diameter: 32 in, area: 64 in²
The perimeter of a sector of a circle is:
P = 2r + l
l = r<span>θ
P = 2r + r</span>θ<span>
P = 32 in
32 = 2r + r</span><span>θ
</span>32 - 2r = r<span>θ
</span>θ = (32 - 2r)/r
θ = (2*16 - 2*r)/r
θ = 2(16 - r)/r<span>
Area of the sector of the circle is:
A = r</span>²/2 * θ
A = r²/2 * 2(16 - r)/r
A = r² * (16 - r)/r
A = r(16 - r)
A = 16r - r²
For the maximum area:
A' = 16 - 2r
A' = 0
16 - 2r = 0
16 = 2r
r = 8 in
The diameter (D) of the circle is twice of the radius:
D = 2r = 2 * 8 = 16 in
The maximum area is:
A = 16r - r²
r = 8 in
A = 16 * 8 - 8²
A = 128 - 64
A = 64 in²
24.12 because you have to divide 34 into 820 and then you get 24.12
Answer:
5,1,4
Step-by-step explanation:
3*1=3
5-3=2
5+1=6
10-6=4
