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docker41 [41]
3 years ago
15

Anna has a collection of 45 nickels and quarters worth $8.05. How many nickels does she have?

Mathematics
1 answer:
madreJ [45]3 years ago
3 0
It could be 1, I'm not really sure
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f=6cm\\g=8cm

Why?

The first thing we need to do is find the area of the triangle, we can to that by subtracting the area of ABCD from ACBE, then, we can use the formulas to calculate the area for both triangle and rectangle to find "f" and "g".

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TriangleArea=ABCE-ABCD\\\\TriangleArea=60cm^{2}-48cm^{2}=12cm^{2}

Now, we can calculate "f" by using the formula to calculate the area of the triangle:

TriangleArea=\frac{b*h}{2}\\\\TriangleArea=\frac{f*4cm}{2}\\\\12cm^{2}*2=f*4cm\\\\\frac{24cm^{2}}{4cm}=f\\\\f=6cm

Now, finding "g" by using the formula to calculate the area of the rectangle, we have:

RectangleArea=ABCD\\\\ABCD=Base*Height\\\\48cm^{2}=base*6cm\\\\base=g=\frac{48cm^{2}}{6cm}=8cm

Hence, we have that:

f=6cm\\g=8cm

Have a nice day!

8 0
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