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3 years ago

I dont get this, can anyone help?

Mathematics

1 answer:

balandron [24]3 years ago

6 0

Answer:

this is an x y coordinate plane, start with x and then move to y.

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For which value of Theta is csc (Theta) undefined?

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The answer will be start fraction pi over 2 end fraction

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Find the distance of the following points from the x axis: P(3,0) , Q(0,-3) , R(12,-4) , S(-4,-3)

OverLord2011 [107]

Answer:

Distance of point P(3,0) from x axis is zero as this point lies on x axis.

distance of point Q is 3.

Distance of point R is 4.

Distance of point S is 3.

Step-by-step explanation:

Point P already lies on x axis as its y coordinate is zero so its distance from x axis is zero

distance of points Q , R and S is the absolute value of their y coordinates that is 3 , 4 and 3 respectively.

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3 years ago

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.

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3 years ago

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Marcus observed that 8 of the 20 games that he had bowled last week were over 180. What percent of his games were over 180?

shepuryov [24]

Answer:

40%

Step-by-step explanation:

Ok so my brain is sorta not working but it said "hey! 20 divided by 2 is 10!"

So I was like ight and divided 80 by 2 to to get 40%.

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Does the following table show a proportional relationship between the variables x and y? x 5/6 25/6 125/6 y 2 10 50

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Step-by-step explanation:

This table shows a proportional relationship between the variables x and y.

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