Check the picture below.
make sure your calculator is in Degree mode.
Answer:
Bottom prism: 126*11=1386
Top Prism: 2*45=90
Total volume: 1386+90= 1746 cubic cm
Answer:
d. 27 cubic feet
Step-by-step explanation:
volume of cube = s^3 = B * s
volume of pyramid = (1/3) * B * h
The volume of a pyramid is 1/3 of the area of the base multiplied by the height. The volume of a cube is the area of the base multiplied by the height. Since the volume of a pyramid has the fraction 1/3 and the volume of the cube does not, then the volume of a cube is 3 times greater than the volume of a pyramid that fits inside and has the same base area.
volume of pyramid = 9 cu ft
volume of cube = 3 * 9 cu ft = 27 cu ft
Answer: d. 27 cubic feet
Answer:
(5, -9).
Step-by-step explanation:
The vertex if (h, k).
So for 6(x - 5)^2 - 9 the vertex is the point (5, -9).
Answer:
The length of the line segment AC is equal to 14
Step-by-step explanation:
The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.
AB=2x and AC= 3x - 7
AB = AC
which implies;
2x = 3x - 7
subtract 3x from both-side of the equation
2x - 3x = 3x -3x -7
-x = -7
Multiply through by -1
x = 7
But we were ask to find the the length of the line segment AC
AC = 3x - 7
substituting x = 7 into the above equation will yield;
AC = 3(7) - 7 = 21 - 7 =14
Therefore the length of the line segment AC is equal to 14
