Find the greatest number of students to whom 45 soccer balls and 60 tennis balls can be equally divided.

Mathematics

2 answers:

xeze [42]3 years ago

4 0

Answer:

15 students

Step-by-step explanation:

45 = 3*3*5
60 = 2*2*3*5

GCF(45,60) = 3*5 = 15

Artemon [7]3 years ago

4 0

Soccer balls=45
Tennis balls=60

Find Greatest common multiple or GCF

$\\ \sf\longmapsto 45=3\times 3\times 5$

$\\ \sf\longmapsto 60=2\times 2\times 3\times 5$

Now

$\\ \sf\longmapsto GCF=3\times 5=15$

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Calculate the length of the side of the square to 1dp.

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Answer:

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Step-by-step explanation:

You can solve this problem using the properties of the 45-45-90 right triangle. Assuming the 12 cm is a diagonal of the square, each side of the square can be modeled as x, and the diagonal will be x $\sqrt{2}$ .

This means $x\sqrt{2} =12$ , so $x=\frac{12}{\sqrt{2} }$ .

Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and $x=\frac{12}{\sqrt{2} }$ , you can square $\frac{12}{\sqrt{2} }$ to get the area. This is equal to $\frac{144}{2}$ or 72 cm.