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Shalnov [3]
2 years ago
5

A toy has various shaped objects that a child is supposed to push through matching holes. The area of the square hole is 5 cm2.

The area of the circular face of the round peg is 5 cm2. Will the round peg fit through the square hole? Use r = 3.14. Round to the nearest hundredth as needed. Explain
Mathematics
1 answer:
Papessa [141]2 years ago
5 0

To answer this, let's first describe the two areas and obtain the pertinent dimensions from them.

The area of the square hole is 5 cm^2.  Since A = s^2, where s is the length of a side of the square, s = +√5 in this situation.  +√5 is approx. 2.24 cm.

The area of the round peg is 5 cm^2 also, but the area is calculated using a different formula:  A = πr^2, where r is the radius of the circle.  Solving for r^2, we get:

                 r^2 = A/π.   Here, r^2 = (5 cm^2)/π = 5π, so that:

r = +√(5π).  This is approx. 3.96 cm, and so the diameter is twice that, or 7.93 cm.

So there's plenty of room for the round peg to enter the square hole, but not the other way around!

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2 years ago
Dawn Dough and Dale earned different amounts $9.35,$8.52,and$8.25 dale and Doug earned about $9.00 Dawn earned exactly $1.10less
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We know that the amounts earned by Dawn, Doug and Dale are from the list of numbers: $9.35, $8.52 and $8.25

We also know that Dale and Doug earned close to $9.00

And that Dawn earned $1.10 less than Dale

Let the amount earned by Dale be x

⇒ Amount earned by Dawn is x - 1.1

If we notice the list of numbers, we see that $9.35 and $8.25 differ by $1.1

Hence, Dale earned $9.35 and Dawn earned $8.25

We are now left with $8.52, which should be the amount earned by Doug. This is correct, since we also know that Doug earned close to $9.

Hence, the amounts earned are:

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Dawn: $8.25

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2 years ago
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daser333 [38]

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4 0
2 years ago
Hii please help me!!!!!
inysia [295]
It should be eight if I remember correctly
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2 years ago
Read 2 more answers
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