Answer:
Yes!
Step-by-step explanation:
8/9 is equal to .888889 while 2/3 is equal to .66667.
<span>Here, we only need the upper hemisphere:
z = √(36 - x^2 - y^2).
Note that the cone and sphere intersect at z^2 + z^2 = 36 ==> z = √18
==> The region of integration is x^2 + y^2 + 18 = 36 ==> x^2 + y^2 = 18.
So via Cartesian Coordinates, the surface area equals
∫∫ √[1 + (z_x)^2 + (z_y)^2] dA
= ∫∫ √[1 + (-x/√(36 - x^2 - y^2))^2 + (-y/√(36 - x^2 - y^2))^2] dA
= ∫∫ √[1 + (x^2 + y^2)/(36 - x^2 - y^2)] dA
= ∫∫ √[36/(36 - x^2 - y^2)] dA
= ∫∫ 6 dA/√(36 - x^2 - y^2).
Converting to polar coordinates yields
∫(θ = 0 to 2π) ∫(r = 0 to √18) 6r dr dθ/√(36 - r^2)
= 2π ∫(r = 0 to √18) 6r(36 - r^2)^(-1/2) dr
= 2π * -3 * 2√(36 - r^2) {for r = 0 to √18}
= 12π (6 - 3√2)
= 36π (2 - √2).
I hope this helps! </span>
Hey there! I'm happy to help!
We see that 500 languages is a certain percent of the 7,111 total languages. When working with percent equations, the word "is" means "equals", and "of" usually means "multiplied by" This means that 500 is equal to a certain percent multiplied by 7,111. We can use p to represent this certain percent and create an equation below.
500=7,111p
Let's flip the equation around so the p is on the left side. Variables are usually supposed to be on the left.
7,111p=500
We divide both sides by 7,111.
p=0.0703
As a percent, this is about 7.03%. Therefore, about 7.03% of the total languages spoken globally are represented on WikiTongues.
I hope that this helps! Have a wonderful day! :D
24-8b
24-(8*b)
i don’t know the exact way it is written on your test but it is something along those lines
Step-by-step explanation:
1/1 , 3
3/1 , 3
1 , 1
HCF is 1
LCM is 3 × 1 =3
2/2 , 9
3/1 , 9
3/1 , 3
1 , 1
HCF is 1
LCM is 3 × 3 × 2= 18