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Rom4ik [11]
3 years ago
15

121degree 22' 36'' is like same as what?

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0
22' is 22 minutes
there are 60 minutes in 1 degree, how many in 22? well, the short answer is you divide it by 60, or 22/60 0.37 or thereabouts, so that makes it 

121.037 degrees and 36''

36'' is 36 seconds, there are 60 seconds in 1 minute, so in short, just divide it by 60 as well, so 36/60 or 0.6 minutes

so, let us revise above some

121 degrees 22' and 36''

22' and 36'' is 22.6'  because 36'' is 0.6'

how much is 22.6' in degrees?  well 22.6/60
or about .38

so. 121° 22' 36'' will  be 121.38° approximately
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Which expression equivalent to 9q^ 2 - 2 3 (3q-7)+5q^ 2 ? a 9q ^ 2 - 5/3 * q - 3 b 9q ^ 2 - 2q - 3 14q ^ 2 - 2q + 14/3 d 14q ^ 2
Veronika [31]

The equivalent expression of 9q^ 2 - 2/3(3q - 7) + 5q^2 is 14q^ 2 - 2q - 14/3

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

9q^ 2 - 2/3(3q - 7) + 5q^2

Open the bracket

9q^ 2 - 2q - 14/3 + 5q^2

Evaluate the like terms

14q^ 2 - 2q - 14/3

Hence, the equivalent expression of 9q^ 2 - 2/3(3q - 7) + 5q^2 is 14q^ 2 - 2q - 14/3

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Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
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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:

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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.

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Divide by 2 on both sides, we get

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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.

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

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$\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.

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3 years ago
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