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2 years ago

I NEED HELP WITH NUMBER 3 PLEASE HELP I WILL MARK BRAINLIEST. NO LINKS. IM BEING TIMEDDDD

Mathematics

1 answer:

ra1l [238]2 years ago

3 0

Answer:

210.65 ft

round as needed

Step-by-step explanation:

Law of Cosines

c^2 = a^2 + b^2 - 2abCosC

c^2 = 125^2 + 210^2 - 2(125)(210)Cos73

c^2 = 15,625 + 44,100 - 15349.5

c^2 = 44,375.5

c = 210.654931107724132

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Suppose a circle with center (14,9) passes through point (16, 12). Which equation represents the circle?

kifflom [539]

Answer:

( x - 14)^2 + ( y - 9)^2 = 13

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( 14 , 9) - center-( a, b)

a = 14

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x = 16

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( x - 14)^2 + ( y - 9)^2 = r^2

Step 2: substitute the point into the equation

( x - 14)^2 +( y - 9)^2 = r^2

( 16 - 14)^2 + ( 12 - 9)^2 = r^2

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Step 3: subs the radius into the equation

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( x - 14)^2 + (y - 9)^2 = 13

Therefore, the equation of the circle is

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VashaNatasha [74]

Let cost of 1 box of red pen = x

Let cost of 1 box of black pen = y

Gaga bought 5 red box and her sister 4 black box then total cost is given by

5x+4y

Given that total cost was $44

so equation will be 5x+4y=44...(i)

After exchange

Gaga= 4 red box + 1 Black box

Sister = 1 red box + 3 Black box

then cost for Gaga = 4x+1y

cost for sister = 1x+3y

Given that cost for both after exchange is same so we get

4x+1y = 1x+3y

or 4x-1x = 3y-1y

or 3x = 2y

or 3x/2=y ...(ii)

plug (ii) into (i)

5x+4y=44

5x+4(3x/2)=44

5x+12x/2=44

5x+6x=44

11x=44

x=4

Now plug value of x into (ii)

y=3x/2=3*4/2=12/2=6

Hence cost of 1 box of red pen = $4

And cost of 1 box of black pen = $6

---

If you want to get solution without solving both equations then just graph both equations and find the intersection point.

You will see that graph intersect at (4,6) which gives x=4, y=6

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