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nlexa [21]
3 years ago
15

Solve for x. x + 4 = -12

Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

x=-16

Step-by-step explanation:

Subtract 4 from both sides

x+4-4=-12-4

x=-16

gayaneshka [121]3 years ago
5 0

Answer:

x = -16

Step-by-step explanation:

To work this out, what you must do is pretty easy.

1 - Get x by itself, do thiy by doing the opposite of what it says on the left, so instead of plusing 4, minus for from -12

2- The answer is wrtien, -16

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-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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The measures of the angles of XYZ are in the ratio 1:4:10. What are the measures of the angles?
Elanso [62]

Answer:the angles are 12 degrees, 48 degrees and 120 degrees.

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees.

The measures of the angles of XYZ are in the ratio 1:4:10. The total ratio is the sum of the proportion of each angle. It becomes

1 + 4 + 10 = 15

Therefore, the measure of the first angle would be

1/15 × 180 = 12 degrees

Therefore, the measure of the second angle would be

4/15 × 180 = 48 degrees

Therefore, the measure of the third angle would be

10/15 × 180 = 120 degrees

6 0
3 years ago
What is the geometric mean of 5 and 8?
Lisa [10]

Answer:

About 6.325.

Step-by-step explanation:

The geometric mean between two numbers is the smaller number multiplied by the square root of the quotient of the two numbers. In this case, the square root of 8/5 multiplied by 5 is about 6.325. Hope this helps!

7 0
3 years ago
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Luba_88 [7]

Answer:

x=5

Step-by-step explanation:

Since 32 is 8 times 4 cm, then 40/8=5.

7 0
3 years ago
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There are 4 breakfast choices in a school cafeteria: Cereal, Granola Bar, Breakfast Sandwich, and Fruit. The percentage of stude
zalisa [80]

Answer:

300. In this case, it's very easy to do this percentage inflation. Since 20 is a multiple of 100, and we want to know the 100%, you just multiply the 20 by 5 to make it 100. Along with this, you multiply the 60 by 5 as well, which gives you 300.

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2 years ago
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