Answer:
The mode is 10
Step-by-step explanation:
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
29-11=18
18²+18²=p²
324+324=p²
p²=648
p=18√2
That's your answer.
Answer:
≈ 14.14 cm³
Step-by-step explanation:
First find the side length of the cube.
V=S³
27=S³
∛27=∛s³
3=S
Then the volume of the sphere.
V=
× π(pi) × r³(radius cubed)
V= × π(pi) × (1.5³)
=
π cm³ ≈ 14.14 cm³
