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ValentinkaMS [17]
3 years ago
10

Jenny is 12 years older than Nancy. Five years ago Jenny was three times as old as Nancy. How old is each now?

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer:

Jenny = 23 | Nancy = 11

Step-by-step explanation:

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For a 30 sided polygon, what is the degree of rotation?
ratelena [41]


interior angle of n-gon formula: 180 - ( 360 / n) 
a 30 sided polygon, so in this case n = 30
so
interior angle = 180 - ( 360 / 30) 
interior angle = 180 - 12
interior angle =  168

answer
168 degrees
3 0
3 years ago
Read 2 more answers
Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo
Likurg_2 [28]

Answer:

The given equation is

25x^{2} +4y^{2}=100

Which represents an elipse.

To find its elements, we need to divide the equation by 100

\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1

Where a^{2} =25 and b^{2}=4. Remember that the greatest denominator is a, and the least is b. So, we extract the square root on each equation.

a=5 and b=2.

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is 2a=2(5)=10.

The length of the minor axis is 2b=2(2)=4.

The vertices are (0,5);(0,-5) and (2,0);(-2,0).

Now, the main parameters of an elipse are related by

a^{2}=b^{2} +c^{2}, which we are gonna use to find c, the parameter of the focus.

c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}

So, the coordinates of each focus are (0,\sqrt{21}) and (0,-\sqrt{21})

The eccentricity of a elipse is defined

e=\frac{c}{a}=\frac{\sqrt{21} }{5}  \approx 0.92

The latus rectum is defined

L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6

Finally, the graph of the elipse is attached.

7 0
3 years ago
Can you guys please help me. i don’t need the explanation i just need the answer
Fittoniya [83]

Answer:

36

Step-by-step explanation:

AOB + BOC = AOC

AOC = 90 since  the lines are perpendicular

6x-12 + 3x+30 = 90

Combine like terms

9x + 18 = 90

Subtract 18 from each side

9x+18-18 = 90-18

9x = 72

divide by 9

9x/9 = 72/9

x = 8

AOB = 6x - 12

         = 6*8 - 12

          = 48 -12

        = 36

5 0
3 years ago
Read 2 more answers
Help me with this!!!!
sdas [7]

Answer:

IJ = 34

Step-by-step explanation:

Since HK = JK, then IK is a perpendicular bisector and Δ is isosceles, then

IJ = HI , that is

2s = s + 17 ( subtract s from both sides )

s = 17

Then

IJ = 2s = 2 × 17 = 34

7 0
2 years ago
Read 2 more answers
3. How many rides can be taken with the $100 pass?
Feliz [49]

Answer:

89.7898

Step-by-step explanation:

don't use this awnser its wrong

4 0
2 years ago
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