Answer: The volume of the solid is 324 cm³
Step-by-step explanation:
Formula for determining the volume if a cube is s³
Where s represents the length of each side of the cube.
From the information given, s = 6 cm
Volume = 6³ = 216 cm³
The formula for determining the volume of the square base pyramid is expressed as
Volume = Area × height × 1/3
From the information given,
Length of square base = 6 cm
Height = 6 cm
Area of square base = 6² = 36 cm²
Volume of square base pyramid
= 36 × 6 × 1/3 = 108 cm³
The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes
216 + 108 = 324 cm³
Answer:
x = -12
y = 11
Step-by-step explanation:
i used substitution and let 'x' = 10 - 2y
3(10 - 2y) + 4y = 8
30 - 6y + 4y = 8
30 -2y = 8
-2y = -22
y = 11
x + 2(11) = 10
x + 22 = 10
x = -12
The inverse for f(x)=2x+4 is f-1(x)= x/2 -2
The answer is 30+6x you would just multiply 6 by 5 then put 6 next to x.
Answer:
Simple...
you have: x-3y=18
You want to convert it into slope-intercept form or y=mx+b form-->>>
x-3y=18
Isolate the variable-->>
x-3y=18
-x -x
-3y=-x+18
Now simply divide...
-3y/-3 = -x+18/-3
y=1/3x=6
Thus, your answer.