Answer:
Angle BOC = 28; Angle AOB = 21
Step-by-step explanation:
Because angle AOC = AOB + BOC you can set the equation:
2x+10 + 4x-15 = 49
<solve for x>
6x - 5 = 49
6x = 54
x= 9
<plug in x for the angles>
BOC = 2(9) +10 = 28
AOB = 4(9) - 15 = 21
Add the total purchase then subtract the used amount from it. U'll get 2 1/3.
The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
