<u>1</u><u>5</u><u> </u><u>inches</u> is the height of the pyramid
Step-by-step explanation:
The volume of a cube is a³
Given <em>a</em> = 5 inches
→ Volume = a³
= 5³
= 5×5×5
= <u>125 in²</u>
The volume of a pyramid is
Given a = 5 inches , h = height of pyramid




then,





Hence, the height of pyramid is <u>1</u><u>5</u><u> </u><u>inches</u>
Use this theorem: in a circle, the measure of an angle formed by two chords that intersect inside the circle is half the sum of the arcs formed by the chords.
In this case the sum of the arcs formed by the chords is 67° + 74° = 141 °, then the half is 141° / 2 = 70.5°.
Answer: 70.5°
If you would like to evaluate 6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4, you can calculate this using the following steps:
6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4 = 6 * [5 * (-6) - 1] + 2/7 * 6 + 4 = 6 * [- 30 - 1] + 12/7 + 4 = 6 * [- 31] + 12/7 + 4 = - 186 + 12/7 + 4 = - 182 + 12/7 = - 1274/7 + 12/7 = - 1262/7
The correct result would be - 1262/7.