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Nitella [24]
3 years ago
10

A light-year is the distance that light travels in one year. the speed of light is 3.00 × 108 m/s. how many miles are there in o

ne light-year? (1 mi = 1609 m, 1 y = 365 d)
Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0
One of the basic equations in physics is Speed = Distance/Time. Thus,

Distance = Speed*Time

Time = 1 light-year * 365 days/yr * 24 h/day * 3,600 s/h = 31536000 seconds
Distance = (3×10⁸ m/s)*(31536000 s) = 9.4608×10¹⁵ meters

Convert meters to miles:
Distance = 9.4608×10¹⁵ m * 1 mile/1,609 m = 5.88×10¹² miles
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Four brothers and their sister have the average age 7. Four brothers have the average age 6. How old is the sister?
AnnyKZ [126]

Answer:

11 years old

Step-by-step explanation:

If four brothers have the average age 6, then the sum of their ages is

4\cdot 6=24

years.

Let x years be the age of sister. If four brothers and their sister have the average age 7, then

\dfrac{24+x}{5}=7.

Multiply this equation by 5:

24+x=35\Rightarrow x=35-24=11.

The sister is 11 years old.

4 0
3 years ago
Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass
Harman [31]

The solution would be like this for this specific problem:

Volume of a cylinder = pi * r^2 * h 

Volume of a cone = 1/3 * pi * r^2 * h 

Total Height = 47

Height of the cone = 12

Height of the cylinder = 35

If the top half is filled with sand, then:

volume (sand) = pi * 4^2 * 36

volume (cone) =  1/3 * pi * 4^2 * 12

Total volume = 1960.353816 cubic millimeters

353816 / (10 * pi) = 62.4 seconds.

It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.

7 0
3 years ago
Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a sca
BigorU [14]

Answer:

Length of scale = 15 cm

Width of scale = 5 cm

Step-by-step explanation:

Dimensions of the kitchen of Mai are given as:

Length of kitchen = 6 m

Width of kitchen = 2 m

Scale to be used = 1 to 40

To find:

The drawing with labeling and dimensions of the scale drawing.

Solution:

First of all, let us understand about the concept of scaling.

Scaling is a method to represent big structures on paper.

For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.

Here, the scale factor used is 1 to 40.

i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.

40 units of kitchen = 1 unit of scale

1 unit of kitchen = \frac{1}{40} units of scale

6 m of kitchen = \frac{1}{40}\times 6\ m = \frac{600}{40}\ cm = 15\ cm

Length of scale = <em>15 cm</em>

40 units of kitchen = 1 unit of scale

1 unit of kitchen = \frac{1}{40} units of scale

2 m of kitchen = \frac{1}{40}\times 2\ m = \frac{200}{40}\ cm = 5\ cm

Width of scale = <em>5 cm</em>

<em></em>

Please refer to the attached image as well for representation of given scale.

4 0
3 years ago
20 is 80 percent of what number?
ziro4ka [17]

Answer: 100

Step-by-step explanation:

8 0
3 years ago
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Find the square root and of 1+i√3​
loris [4]

find the square root and of 1+i√3​  

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2 years ago
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