Answer:
V(hemisphere) = 1072.3in^3
Step-by-step explanation:
To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.
The volume of a sphere is:
Let's plug in the radium of 8 into the equation and solve:
Now, divide it by 2
V(sphere) = (2144.660585)/2
V(hemisphere) = 1072.3in^3
I hope this helps!!
Answer:
a(x)=2x^2+9x+4
Step-by-step explanation:
We have been given the length and width, as well as the formula to find the area:
Length: 2x + 1
Width: x + 4
A = l * w
A = (2x + 1)(x + 4)
2x^2 + 8x + x + 4
We can add like terms now:
2x^2 + 9x + 4
Our area is 2x^2 + 9x + 4
Our answer would be a(x)=2x^2+9x+4
If its a 90 degree then the answer is 68
if its a 180 degree then the answer is 158
if its a 270 degree then the answer is 248
if its a 360 degree then the answer is 338
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
37x = 12 to log form is log37(12)
log 12/log 37 = 0.68
