put it in for u https://www.symbolab.com/solver/roots-calculator/f%5Cleft(x%5Cright)%3D%5Cleft(x-2%5Cright)%5E%7B2%7D%2B4
M=153.46w, L=128.90+127.68w they will be equal when M=L so
153.46w=128.90+127.68w subtract 127.68 from both sides...
25.78w=128.90 divide both sides by 25.78
w=5
So after five weeks they have deposited the same amount of money.
Each of them has deposited <span>$153.46*5=$767.30, so the account has twice that amount.
Thus the total amount in the account is 767.30*2=$1534.60</span>
Answer:
1/216
Step-by-step explanation:
The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.
<h3>Linear scale factor</h3>
If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.
<h3>Volume scale factor</h3>
The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...
(1/6)³ = 1/216
The volume of the filled portion of the cup is 1/216 of the volume of the cup.
Surface area of the prism is 2xy+2xz+2yz
I think, we can cut hole on the face of the prisma 40x30, and size of the whole will be 5X5X5
hole increases surface area. If side of the cube is "a", then a^2 is the area of the one face of the cube.
when we are doing the hole, we remove 2 faces and add 4 more faces, so
2xy+2xz+2yz-2a^2+4a^2= 2xy+2xz+2yz+2a^2
So, 2*5*40+2*5*30+2*40*30+2*5^2=3150 cm^2
i hope it helps, it is what i can come up with now
