Answer:
6 and 8
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
Given this,
(3x)² + (4x)² = 10²
9x² + 16x² = 100
25x² = 100
Divide both sides by 25
x² = 4
x = 2
Substitute this into 3x and 4x.
3x = 3 * 2 = 6
4x = 4 * 2 = 8
Thus, the answer is 6 and 8
Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
Yes, she is correct
1/2 + 1/2 = 1 or 0.5 + 0.5 = 1 so half of a wall plus half of a wall equals one hole wall.
That's as simple as I can put it mathematical reasoning. I hope this helps
F - 1.47
The largest box represents 100 small cubes or 1. The four pillars represent 10 and there is four of them so it is 40. Then, the individual cubes are 7. So, 1.47.
In order:
angle 3
definition of an angle bisector
angle 1
transitive property of congruence
