Answer:45
Step-by-step explanation:
9 and 15 both go into 45, and 45 is the LCM of those numbers.
Answer:
Yes
Step-by-step explanation:
To fins the area if the rectangle you need to find the hypotenuse of the triangles, which are equal. so 10.4 squared plus 15.3 squared is 342.25, and the square root is 18.5.
Then, 18.5 multiplied by 7 is 129.5. Then to fins the area of a triangle you need to do it like a rectangle but in this case, sense there are 2, then just find the area. 129.5+(10.4 times 15.3=159.12)=129.5+159.12=288.62
The problem is to optimize (find the maximum The problem is to maximiz the function
<span>f(x,y,z)=xyz </span>
<span>With the constrain </span>
<span>2(xy + xz + yz)=64; xy+xz+yz=32 </span>
<span>Using the Lagrange Multipliers </span>
<span>F(x,y,z) = xyz - £(xy+xz +yz-32) </span>
<span>Deriving with respect to x: </span>
<span>yz - £(y+z)=0 ....i</span>
<span>Deriving with respect to y: </span>
<span>xz - £(x+z)=0 ...ii</span>
<span>Deriving with respect to z: </span>
<span>xy - 2£(x+y)=0 ....iii</span>
<span>Deriving with respect to £: </span>
<span>xy+xz+yz=32 .....iv</span>
<span>From (i) and (ii) </span>
<span>yz/2(y+z) = xz/2(x+z) </span>
<span>y/(y+z) = x/(x+z) </span>
<span>yx+yz=xy+xz </span>
<span>y=x </span>
<span>From (i) and (iii) </span>
<span>x=z </span>
<span>So, from (iv) </span>
<span>x^2+x^2+x^2=32 </span>
<span>x^2=32/3 </span>
<span>x=y=z=sqrt (32/3) </span>
<span>Vmax = sqrt (32/3)^3 </span>
I hope this helps. I have to write 20 more word so um.
Usually, there is some fluctuation if the number of subjects changes. Please mark Brainliest!!!
