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4 years ago

Consider the following used to find the volume of a cone

Mathematics

1 answer:

Marta_Voda [28]4 years ago

5 0

You need to list the options/ “following” otherwise you most likely won’t get an answer or a right one at least

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Suppose you have a light bulb that emits 50 watts of visible light. (Note: This is not the case for a standard 50-watt light bul

natali 33 [55]

Answer:

0.049168726 light-years

Step-by-step explanation:

The apparent brightness of a star is

$\bf B=\displaystyle\frac{L}{4\pi d^2}$

where

L = luminosity of the star (related to the Sun)

d = distance in ly (light-years)

The luminosity of Alpha Centauri A is 1.519 and its distance is 4.37 ly.

Hence the apparent brightness of Alpha Centauri A is

$\bf B=\displaystyle\frac{1.519}{4\pi (4.37)^2}=0.006329728$

According to the inverse square law for light intensity

$\bf \displaystyle\frac{I_1}{I_2}=\displaystyle\frac{d_2^2}{d_1^2}$

where

$\bf I_1=$ light intensity at distance $\bf d_1$

$\bf I_2=$ light intensity at distance $\bf d_2$

Let $\bf d_2$ be the distance we would have to place the 50-watt bulb, then replacing in the formula

$\bf \displaystyle\frac{0.006329728}{50}=\displaystyle\frac{d_2^2}{(4.37)^2}\Rightarrow\\\\\Rightarrow d_2^2=\displaystyle\frac{0.006329728*(4.37)^2}{50}\Rightarrow d_2^2=0.002417564\Rightarrow\\\\\Rightarrow d_2=\sqrt{0.002417564}=\boxed{0.049168726\;ly}$

Remark: It is worth noticing that Alpha Centauri A, though is the nearest star to the Sun, is not visible to the naked eye.

7 0

3 years ago

a sector of a circle has a central angle measure of 60°, and an area of 14 sq inches, what is the area of the entire circle

damaskus [11]

Answer:

The answer is below!!

Step-by-step explanation:

The formula used to find the area of a circlular sector - a pie-shaped part of a circle. ... π. 4. 2. ·. 86. 360. = 12.01. What the formulae are doing is taking the area of the whole ... So for example, if thecentral angle was 90°, then the sector would have an area equal to one ... r is the radius of the circleof which the sector is part.

Hope I Helped!!

7 0

2 years ago

Read 2 more answers

1. What is the first step to solve the equation? 2/5 n=5 7/9 *

Alex Ar [27]

Pemdas :
A. Divide both sides by 2/5

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3 years ago

Solve the equation. e + 1.2 =2 e=

GREYUIT [131]

Answer:

e= 0.8

Step-by-step explanation:

Get e by itself, so subtrct 1.2 from 2 to get 0.8

7 0

3 years ago

PLEASE HELP ME

Minchanka [31]

1. is b
2. is a
3. is a
4. is c
5. is b

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3 years ago