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zalisa [80]
2 years ago
15

Lucy's spaceship is low on fuel. Lucy is 1{,}2001,2001, comma, 200 light years (\text{l.Y.}l.Y.Start text, l, point, y, point, e

nd text) from the star system KA-7, as shown. She is 1{,}700\,\text{l.Y.}1,700l.Y.1, comma, 700, start text, l, point, y, point, end text from the system KA-11. Lucy sees an angle of 52\degree52°52, degree between KA-7 and KA-11. To decide whether to visit KA-11, Lucy needs to know the distance between the systems. How far apart are KA-7 and KA-11? Do not round during your calculations. Round your final answer to the nearest hundred light years.
Mathematics
2 answers:
Naily [24]2 years ago
8 0

Answer:

1300

Step-by-step explanation:

Khan academy

Svetlanka [38]2 years ago
7 0

Answer:

1300

Step-by-step explanation

khan academy bae

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Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given
lorasvet [3.4K]
(a)  there are 8C2  = 28 ways of picking 2 girls from 8
And there are  21C4  =  5985 ways of picking 4 boys

Required number of ways for 2g / 4b  = 28 * 5985 =  167,580 

(b) at least 2 girls means  combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or 
6 girls.

2g/4b  = 167,580 ways
3g/3b =  8C3 * 21C3 =  56 * 1330 = 74,480
4g/2b =  8C4* 21C2  =   70 * 210 = 14,700 
5g 1b = 8C5* 21 =  56*21 = 1176
6 girls  = 8C6 = 28

adding these up we get the answer to (b) which is  257,964

6 0
2 years ago
Many us employess received a 3% raise in 2012 suppose an employee made 47,000 in 2011 and received a 3% raise. What did she make
WITCHER [35]
First lets get 3% into decimal form. 

3% is 3/100  = 0.03

Now multiply 0.03 by 47000 to get how much extra money she was going to get. 

47000 * 0.03 = 1410

Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012

Another way to do this is 

(47000)(1+0.03) = 48410

you would use (1+0.03) which tells you she increased in pay. 
4 0
2 years ago
When choosing a new school mascot, 80 students voted for an eagle, and 160 students voted for a bulldog. Rounded to the nearest
makvit [3.9K]
Simple.
100% of the student body is 160 + 80, which is 240.

160 is 66.7% of 240.
So 66.7% voted for a bulldog.

Hope this helps!
5 0
2 years ago
Read 2 more answers
Ainsley lives in a town 360 miles directly north of Orlando, and one Saturday, she takes the train from her town to the city. he
iragen [17]
By definition we have to:
 d = v * t
 where,
 d: distance
 v: speed
 t: time
 We have then that the speed is:
 (360-210) = v * 2.5
 Clearing we have:
 v = (360-210) /2.5
 v = 60 mph
 We now write the generic equation of distance:
 d (x) = 60x
 Where,
 x: time
 Answer:
 
an equation that represents (x), the distance Ainsley is from Orlando after x hours is:
 
d (x) = 60x
5 0
2 years ago
Bilal's fishing line was on a spool with a radius of 4 \text{ cm}4 cm4, start text, space, c, m, end text. Suddenly, a fish pull
Fantom [35]

Answer:

The distance the fish pulled the fishing line is <u>401.92 cm.</u>

Step-by-step explanation:

Given:

Radius of fishing spool = 4 cm.

Fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.

Now, to find the distance the fish pulled the fishing line.

So, to get the circumference of the spool first we put formula:

Radius(r) = 4 cm.

Value of π = 3.14.

Circumference = 2\pi r

Circumference=2\times 3.14\times 4

Circumference=25.12\ cm.

<em>As given, fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.</em>

Now, to get the distance the fish pulled the fishing line, we multiply 16 with the circumference:

16\times 25.12\\\\=401.92\ cm.

Therefore, the distance the fish pulled the fishing line is 401.92 cm.

3 0
2 years ago
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