-w+4(w+3)=-12
-w+4w+12=-12
3w=-12-12
3w=-24
w=-8
HOPE I HELPED!!!
Answer:
Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) The dimensions of this surface are 6 in x 6 in
Part 3) Molly needs to paint 228 square inches
Step-by-step explanation:
The picture of the question in the attached figure
Part 1) Which surface is shared by the two solids?
we know that
The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches
so
The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that
The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids
so


therefore
Molly needs to paint 228 square inches
Answer:
angle 1= 104 angle 2= 76
Step-by-step explanation:
angle 1 equals x+66 and angle 2 equals 2x so you set up an equation where they are the sum of 180 degrees because the angles are supplementry angles.
x+66+2x=180 set the sum of the angles to 180
3x+66=180 combind like terms
3x=144 subract 66 from both sides
x=38 divide 3 from both sides
Now you put x back into the measurments
angle 1= (x+66) angle 2= 2x
(38+66) 2×38
angle 1= 104 angle 2= 76
Or after you know angle 1 you can subtract angle 1 from 180 to get angle 2.
Answer: 89.6 kg of water
Step-by-step explanation:
Find the total volume of the tank:
(80cm)*(35cm)*(40cm) = 112,000 cm^3
4/5 of this would be 89,600 cm^3
Water has a mass of 1 gram/cm^3
(1 gram/cm^3)*(89,600 cm^3) = 89,600 g of water
(89,600 g)*(1 kg/1,000 g) = 89.6 kg of water
1, when you factor you get 6x(x^2-1)+4(x^2-1)=