Answer:
3,451 cm³
Step-by-step explanation:
The ball is a sphere.
Formula for finding the volume of a sphere = ⁴/3*πr³
Volume of the 3 balls = 3(⁴/3*πr³)
Where,
radius (r) = ½ of diameter = ½(13) = 6.5 cm
Plug in the values into the formula:
Volume of the 3 balls = 3(⁴/3*π*6.5³)
= 4*π*274.625
= 3,451.03953 ≈ 3,451 cm³
Answer:A. y ≥ 2
Step-by-step explanation:
First the line is solid, a complete line not dotted so the inequality sign to use is : ≥ or ≤
The points have their y-coordinate vale as 2, (−5, 2) and (3, 2), this means the line crosses the y-axis at y=2 but because the shaded part is above this line, then the correct inequality will be :
y ≥ 2
Answer:
<h2>3(cos 336 + i sin 336)</h2>
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336)
