L=w+2 and 2w+2l=44
substitute equation for length in perimeter equation
2w+2(w+2)=44
2w+2w+4=44
4w+4=44
4w=40
w=10
substitute width into length equation to get length
l=10+2
l=12
a=lw
a=12*10
a=120 cm^2
Answer:
76%
Step-by-step explanation:
Because there were 50 people present at his birthday, 50 will be our denominator. Only 38 people chose to eat it so that will be our numerator. 38 out of 50 people chose to have chocolate cake:
would be the fraction.
50x2 would be 100 and we need 100 to make it a percentage. We will multiply the bottom and the top by 2.
x 2 = 76/100 = 76%
76% of the people at the party picked chocolate cake.
Answer:
184.43in².
Step-by-step explanation:
Total surface area of the solid = volume of the cube - the volume of the cone
For the CUBE;
Volume of the cube = L³ where L is the length of one side of the cube.
Since a cone of diameter of 6in is cut into a cube, then the length of the cube will be 6in.
Volume of the cube = 6³ = 216in³
For the CONE;
Volume of the cone = 1/3 πr²h
r is the radius of the cone = diameter/2
r = 6/2 = 3in
slant height l = 4.5in
the height h of the cone will be derived using the Pythagoras theorem.
l² = h²+r²
4.5² = h²+3²
h² = 4.5²-3²
h² = 11.25
h=√11.25
h = 3.35in
Volume of the cone = 1/3 × π × 3²× 3.35
= 31.57in³
Total surface area of the solid = 216in³-31.57in³
= 184.43in²
Answer:
40w + 16p ≤ 2000
Step-by-step explanation:
let 'w' = jugs of water
let 'p' = cases of paper
the area of shading will include negative values which you can ignore because those values do not apply to this problem
Step-by-step explanation:
Therefore, 32/243 is the answer.
