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Anastasy [175]
4 years ago
12

Help Please!! I can't seem to get the answer no matter how hard I try.... But it seems so easy.. Wjhsjwskwnw​

Mathematics
1 answer:
Gemiola [76]4 years ago
5 0

Answer:

109 cm³

Step-by-step explanation:

Let the radius of semi-circle be r, then side of the cube is 2r and the height of the solid is also 2r

<u>The circumference of the semi-circle can be calculated as:</u>

  • 2r + 1/2 × (2πr) = 11

<u>Then we can find the value of r:</u>

  • r(2+π)=11
  • r= 11/(2+π)
  • r= 11/5.14
  • r= 2.14 cm

<u>The volume of the combined solid is the sum of volumes of the cube and the semi-cylinder:</u>

  • V= (2r)³ + 1/2×πr²×2r= 8r³ + πr³= (8+π)×r³
  • V= (8+3.14)×2.14³ = 109.1758 cm³
<h2>The volume is approx. 109 cm³</h2>
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lana66690 [7]

Answer:

The mode is 10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
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
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4 0
3 years ago
PLEASE ANSWER QUICKLY
Luba_88 [7]
29-11=18
18²+18²=p²
324+324=p²
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p=18√2
That's your answer.
6 0
4 years ago
Read 2 more answers
What is The 2+21+221:22​
Oksanka [162]

Answer:

33.0454545455

Step:

2+21+221:21

23+(221:22)=

23+10.045454545=

33.0454545455

8 0
4 years ago
⦁ A sphere is inscribed in a cube with a volume of 27 cm3. What is the volume of the sphere?
lyudmila [28]

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=\frac{4}{3} × π(pi) × r³(radius cubed)

V=\frac{4}{3} × π(pi) × (1.5³)

 =\frac{9}{2}π cm³ ≈ 14.14 cm³

4 0
3 years ago
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