Answer:
65
Step-by-step explanation:
128-63=65
Answer:
The radius is 9 mm
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where r is the radius
972 pi = 4/3 pi r^3
Divide each side by pi
972 = 4/3 r^3
Multiply each side by 3/4 to isolate r^3
3/4 * 972 = 4/3 * 3/4 r^3
729 = r^3
Take the cube root of each side
(729) ^ (1/3) = (r^3) ^ (1/3)
9 = r
The radius is 9 mm
<h3>
Answer: w = 31</h3>
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Explanation:
For any triangle, the interior angles always add to 180
(angle1)+(angle2)+(angle3) = 180
(w) + (4w-6) + (w) = 180
(w+4w+w) - 6 = 180
6w - 6 = 180
6w - 6+6 = 180+6 .... adding 6 to both sides
6w = 186
6w/6 = 186/6 ..... divide both sides by 6
w = 31
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Extra info:
This value of w leads to
4w-6 = 4*31-6 = 118
The three angles of the triangle are: 31, 118, 31
Because we have two congruent angles, this means the triangle is isosceles. The sides opposite the congruent angles are the same length.
You can factor (x^3 and 6x^2) and (-4x and -24).
So x^2(x+6) - 4(x+6)
(x^2-4)(x+6)
(x-2)(x+2)(x+6)
