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jarptica [38.1K]
3 years ago
14

One hundred 50 cent coins have a mass of 690g. What is the mass of one 50 cent coin?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
7 0
You divide 690 by 100 which is 6.9
Therefore, one 50cent coin is 6.9g
djyliett [7]3 years ago
4 0
The mass of one 50-cent coin is 6.9g.

690 / 100 = 6.9
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Answer:

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Step-by-step explanation:

Rounding to the nearest we get 22 degrees

We know that,

1 radian is equal to 57.2957795

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This semester, the tuition fee increased to $5,871. If this represents an increase by 14%, what was the original fee?
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Write the standard form of the equation for the circle that passes through the points (2,31),(-15,14),(33,0)
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Answer:

Step-by-step explanation:

Begin with the standard form of a circle as a conic:

Ax^2+Bxy+Cy^2+Dx+Ey+F=0

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x^2+y^2+Dx+Ey+F=0 is good enough for us for this.  Start with the first point on the circle, (2, 31) and fill in the equation above with x and y:

2^2+31^2+2D+31E+F=0 which simplifies down to:

(1):2D+31E+F=-965

Do the same with the next point on the circle, (-15, 14):

-15^2+14^2-15D+14E+F=0 which simplifies down to:

(2):-15D+14E+F=0

Do the same with the last point, (33, 0):

33^2+0^2+33D+0E+F=0 which simplifies down to:

(3):33D+F=-1089

Now we will add (1) and (2) to get (4):

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-15D + 14E + F = -421

Multiply the top equatio by -1 to get rid of the F terms:

 -2D - 31E - F = 965

-15D + 14E + F = -421

which simplifies to

(4): -17D - 17E = 544

Now add (2) and (3) to get (5):

-15D + 14E + F = -421

33D           + F = -1089

Multiply the bottom equation by -1 to get rid of the F terms:

-15D + 14E + F = -421

-33D          - F = 1089

which simplifies to

(5): -48D + 14E = 668

Now add (4) and (5) together and eliminate the E terms:

-17D - 17E = 544

-48D + 14E = 668

In order to eliminate the E terms, multiply the top equation by 14 and the bottom equation by 17 to solve for D:

-238D - 238E = 7616

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Which gives you that

D = -18

Now plug the value for D into (4) to find E:

-17(-18) - 17E = 544 and

306 - 17E = 544 and

-17E = 238 so

E = -14

Now plug the values for both D and E into (1) to find F:

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x^2+y^2-18x-14y=495

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(x^2-18x+81)+(y^2-14y+49)=495+81+49 which simplifies to

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0.375 is the answer because there are 3 0's in COLORADO and 8 letter's in total. The fraction part would be 3/8 and in decimals it is 0.375.

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Step-by-step explanation:

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1 year ago
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