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melamori03 [73]
3 years ago
7

On the photo /picture

Mathematics
1 answer:
asambeis [7]3 years ago
6 0

We need to compute the diagonal of yhe square.

d²=7²+7²=49×2cm²

d=7×sqrt(2)=7×1.41=9.87cm.

The diagonal we just computed is the diameter of the circle that contains the square.

Since d=9.87 < 11, then indeed, the square fits inside the circle, without touching it.

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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
2 years ago
Which of the following is the factored form of 9y2-121​
lukranit [14]
It's the first one.

If you work backwords, I'd say it's easier. 3y swuared is 9y2, and 11 squared is 121. Then just keep the sign the same
4 0
2 years ago
which three numbers make a right triangle the square root of 4 the square root of 5 the square root of 9 + square root of 6 the
statuscvo [17]
Please, group your sets of numbers, using {   }  notation or at least semicolons ( ; ).  Thanks.

Looking at what I think is your first set:   { sqrt(4), sqrt(5), sqrt(16) }

Square each of these and then subst. the results into the Pythagorean Theorem:

  { 4, 5, 16 }        Do 4 and 5 when added together result in 16?  NO.
Therefore,   { sqrt(4), sqrt(5), sqrt(16) }  does not produce a right triangle.

Your turn.  Pick out the next 3 numbers and test them using the Pyth. Thm.               
8 0
3 years ago
Which function is most closely represented by the graph ?
Helen [10]

Answer:

3 + 3/4x

Step-by-step explanation:

it is 3 up and 4 left so y over x for the the slope. mx +b

3 0
3 years ago
A system of two equations has no solution. One equation is -15x+y=18.
DerKrebs [107]

A.

If you multiply the original equation by 3 you get -45x+3y=54, which is the exact same as A, therefore they have infinite solutions.

5 0
2 years ago
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