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Crank
3 years ago
8

HELP PLEASE asap AND THANKS WILL GIVE BRAILIEST!!! :)

Mathematics
2 answers:
Bumek [7]3 years ago
7 0

The standard form: Ax + By = C.


y=-\dfrac{1}{2}x+4\qquad\text{multiply both sides by 2}\\\\2y=-x+8\qquad\text{add x to both sides}\\\\\boxed{x+2y=8}

Ivenika [448]3 years ago
4 0

In standard form it would be x + 2y = 8.

x + 2y = 8

2y = -x + 8

y = -1/2x +4

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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
The measure of the missing angle is ?
Cerrena [4.2K]
X = 97

Working on other question.
3 0
3 years ago
A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density?
Furkat [3]

Answer:

Hey there!

Density = Mass/Volume

Mass= 6g

Volume=24 mL, which is 24 cm^3

Density= 6g/24 cm^3

Density=0.25 g/cm^3

Let me know if this helps :)

5 0
3 years ago
Read 2 more answers
your sister is considering two different shapes for her garden. one is a square with side lengths of 3.5 meters, and the other i
In-s [12.5K]
The area of a square: (3.5m)²=12.25m²
The area of a circle: π*(2m)²=12.57m²
The circle shape of garden will give my sister more space to plant.
6 0
3 years ago
Look at all the measurements in model 4. when a number in scientific notation is changed to expanded notation, are any of the ad
zheka24 [161]
Yes, the added zeros are significant. Lets say you are converting 1.23 x 10 to the power of 4. The answer would be 12,300 in which case, if you took away the zeros, the number would be 123, which is an incorrect answer.

Hope this makes sense and helps!
4 0
3 years ago
Read 2 more answers
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