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defon
3 years ago
12

1. Consider the figure below.

Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

  • A triangle sums to 180
  • x-48+2x-164+x= 180
  • 4x-212=180
  • x= 90
  1. m<A= 16
  2. m<M=90
  3. m<N= 52
  4. Right Triangle
  5. Give brainlist
  6. I do exams and quizzes
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Lucy has two star systems left to visit on her voyage, but her ship is running low on fuel. The first system, KA-77, is 12001200
-Dominant- [34]

Answer:

 1348 light years.    

Step-by-step explanation:

Please find the attachment.

Let x represent the distance between KA-7 and KA-11.

We have been given that the first system, KA-7, is 1200 light years away while the second system, KA-11, is 1700 light years away. Lucy sees an angle of 52 degrees between KA-7 and KA-11.

We can see from our attachment that Lucy, KA-7 and KA-11 forms a triangle and we will use law of cosines to solve for x.  

(AB)^2=(AC)^2+(BC)^2-2(AC)(BC)*cos (C)

Upon substituting our given values in above formula we will get,

x^2=1200^2+1700^2-2*1200*1700*cos (52^o)  

x^2=1440000+2890000-4080000*0.615661475

x^2=4330000-2511898.81933008

x^2=1818101.18066992

Let us take square root of both sides of our equation.

x=\sqrt{1818101.18066992}

x=1348.3698234\approx 1348

Therefore, KA-7 and KA-11 are approximately 1348 light years apart.

6 0
3 years ago
HELP WITH THIS NUMBER PROBLEM PLZ:)
salantis [7]
I believe you would take 127.5 and divide it by 8.5, try that and see if that works, hope this helps!
3 0
4 years ago
Read 2 more answers
Find the greatest possible number of consecutive zeros at the end of the product of three positive integers if the sum of these
Vesnalui [34]

Answer:

I think its 5 consecutive zeros.

Step-by-step explanation:

This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.

So my guess would be

400 * 500 * 39

= 7800000

7 0
2 years ago
Help asap
anastassius [24]

Answer:

Step-by-step explanation:

The answer is 12 miles, if every inch is 3 miles on the map then 3x4=12.

7 0
3 years ago
Read 2 more answers
The graph of a linear function intersects with the x axis at a point with an abscissa of 4 and with the y axis at a point with a
goldenfox [79]
We know that

points are
x intercept
A (4,0)

y intercept
B (0,11)

step 1
find the equation of a line
m=(y2-y1)/(x2-x1)--------> m=(11-0)/(0-4)------> m=-11/4

with m and the point B (0,11)
y-y1=m*(x-x1)y-11=(-11/4)*(x-0)---------> y=-(11/4)x+11

the answer is 
the formula of the function is y=-(11/4)x+11

see the attached figure

7 0
3 years ago
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