Answer: A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.
Step-by-step explanation:
A triangle has side lengths that are 8 cm, 15 cm, 17 cm. Is this a right triangle? A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.
<span>Simplifying
7 + -2(2 + 3x) = 27
7 + (2 * -2 + 3x * -2) = 27
7 + (-4 + -6x) = 27
Combine like terms: 7 + -4 = 3
3 + -6x = 27
Solving
3 + -6x = 27
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -6x = 27 + -3
Combine like terms: 3 + -3 = 0
0 + -6x = 27 + -3
-6x = 27 + -3
Combine like terms: 27 + -3 = 24
-6x = 24
Divide each side by '-6'.
x = -4
Simplifying
x = -4</span>
a)
Check the picture below.
b)
volume wise, we know the smaller pyramid is 1/8 th of the whole pyramid, so the volume of the whole pyramid must be 8/8 th.
Now, if we take off 1/8 th of the volume of whole pyramid, what the whole pyramid is left with is 7/8 th of its total volume, and that 7/8 th is the truncated part, because the 1/8 we chopped off from it, is the volume of the tiny pyramid atop.
Now, what's the ratio of the tiny pyramid to the truncated bottom?
