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Ipatiy [6.2K]
3 years ago
15

The two triangles below are similar. To the nearest tenth, what is the measurement of the missing side?

Mathematics
1 answer:
Nastasia [14]3 years ago
5 0
The answer is B, 2.7 !!!!
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Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$\Rightarrow \frac{h}{2}=r

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

  $\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3 (formula)

$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

6 0
3 years ago
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A byte is used to measure a computer's memory. There are 2^30 bytes in a gigabyte. A computer has an 8 gigabyte memory. Which ex
aksik [14]

Answer:

8x2^30

Step-by-step explanation:

5 0
3 years ago
Answer my math question I asked so many times I lost most of points help by
alexandr1967 [171]

y-intercept: (0, 1)

Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5

Line of symmetry: x = 0.5

Open UP or DOWN: Opens UP

Min or Max: Min

Vertex: (0.5, 0.5)

Domain: {x|x ∈ ℝ}

Range: {y|y ≥ 1/2}

6 0
3 years ago
Please help -2x++8-6=-32
arlik [135]

Answer:

x = 17

Step-by-step explanation:

-2x+8-6=-32

lets isolate the x variable:

-2x=-32-8+6

-2x = -34

x= -34/-2

x= 34/2

x= 17

3 0
3 years ago
10 points! please help!
kumpel [21]

Answer:

i think its the third one

Step-by-step explanation:

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3 years ago
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