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Alex73 [517]
3 years ago
10

Please help if know the answers

Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

2x-3

x =3 /2

and second one is -y+2

= -2/1

-2

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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
Read 2 more answers
SAR.
ozzi

Answer:

its an sectet of jet ski cant tell sorry

5 0
3 years ago
if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is
dlinn [17]
P(success) = 0.4   P(failure) = 0.6

8C2 (0.4)² * (0.6)^6

P(2 success) =0.290
5 0
3 years ago
Does anyone have the answer to this? <br> 3(x+2)-7 = 5x + 7.
Aleks04 [339]

Answer:

-4

Step-by-step explanation:

3 0
2 years ago
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Lizbeth deposited $6200 into a savings account for which interest is compounded monthly at a rate of 2.37%. How much interest wi
aleksley [76]
A=6200(1+0.0237/12)^12*8
A=7,492.95
Amount earned=7492.95-6200=1,292.95
8 0
3 years ago
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