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raketka [301]
3 years ago
9

PLEASE HELP!!!

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

The prime factorization of 84 is: 2 x 2 x 3 x 7.

The prime factorization of 36 is: 2 x 2 x 3 x 3.

The prime factors and multiplicities 84 and 36 have in common are: 2 x 2 x 3.

2 x 2 x 3 is the gcf of 84 and 36.

gcf(84,36) = 12.

Step-by-step explanation:

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Does 2, 5, and 7 make a right triangle
MakcuM [25]

Answer:  No, we don't have a right triangle

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Explanation:

If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.

Here we have a = 2, b = 5 and c = 7.

So...

a^2+b^2 = c^2

2^2+5^2 = 7^2

4+25 = 49

29 = 49

The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do <u>not</u> have a right triangle.

------------

In contrast, consider the classic 3-4-5 right triangle

a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).

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Miranda buys 6 pounds of nuts. If she puts 1/5 pounds in each bag, how many bags can she make?
Brrunno [24]
30 bags: each pound can make 5 bags (1/5) so 6 x 5 = 30
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Step-by-step explanation:

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Find the area of the triangle. Figure is not drawn to scale. Show your work. (Image attached)
Zolol [24]

Answer: 13.8cm^2

Step-by-step explanation:

The area of a triangle can be calculated with the formula:

A_{(triangle)}=\frac{b*h}{2}

The base of the triangle is "b" and the height of the triangle is "h",

In the figure you can observe that the base and the height of the triangle are:

b=6.9cm\\h=4cm

Knowing these values, you can substitute them into A_{(triangle)}=\frac{b*h}{2}.

Therefore, the area of the triangle is:

A_{(triangle)}=\frac{(6.9cm)(4cm)}{2}

A_{(triangle)}=13.8cm^2

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3 years ago
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