Division. When you divide, the quotient is what you get as the answer
9514 1404 393
Answer:
5 cubic feet
Step-by-step explanation:
The volume is the product of the dimensions.
V = LWH
V = (5/2 ft)(3/2 ft)(4/3 ft) = (5·3·4)/(2·2·3) ft³ = 5 ft³
The volume of the prism is 5 cubic feet.
Answer:
6
Step-by-step explanation:
Let's solve your equation step-by-step.
4x2−48x+144=0
Step 1: Factor left side of equation.
4(x−6)(x−6)=0
Step 2: Set factors equal to 0.
x−6=0 or x−6=0
x=6
Answer:
x=6
By Green's theorem,
![\displaystyle\int_C(9y+x)\,\mathrm dx+(y+3x)\,\mathrm dy=\iint_D\frac{\partial(y+3x)}{\partial x}-\frac{\partial(9y+x)}{\partial y}\,\mathrm dy\,\mathrm dx=-6\iint_D\mathrm dy\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_C%289y%2Bx%29%5C%2C%5Cmathrm%20dx%2B%28y%2B3x%29%5C%2C%5Cmathrm%20dy%3D%5Ciint_D%5Cfrac%7B%5Cpartial%28y%2B3x%29%7D%7B%5Cpartial%20x%7D-%5Cfrac%7B%5Cpartial%289y%2Bx%29%7D%7B%5Cpartial%20y%7D%5C%2C%5Cmathrm%20dy%5C%2C%5Cmathrm%20dx%3D-6%5Ciint_D%5Cmathrm%20dy%5C%2C%5Cmathrm%20dx)
where
is the disk with
as its boundary. The integral is simply -6 times the area of the disk
, which has radius √6, and hence area 6π, so the value of the integral is -36π.
Answer:
x=23,y=15
Step-by-step explanation:
take away 8 from 38, divide it by 2, you get 15. add 8 to one of the set of two 15s. you get 23 and 15