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3 years ago

What is the minimum and maximum whole number side length for △ABC with given side lengths of 9 cm and 11 cm? Please explain why

Mathematics

1 answer:

Gwar [14]3 years ago

5 0

Answer:

Step-by-step explanation:

We would assume that triangle ABC is a right angled triangle. This means that we can apply Pythagoras theorem in determining the unknown side length.

For the case of the minimum side length, we would assume that the unknown length, L is one of the shorter legs of the triangle. By applying Pythagoras theorem, it becomes

11² = 9² + L²

L² = 121 - 81 = 40

L = √40 = 6.32

For the case of the maximum side length, we would assume that the unknown length, L is one of the hypotenuse of the triangle. By applying Pythagoras theorem, it becomes

L² = 9² + 11²

L² = 81 + 121 = 202

L = √202 = 14.21

The minimum side length is 6.32 and the maximum side length is 14.21

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Deja has two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries

ElenaW [278]

Answer:

(b) The number of pounds of berries each person would receive is $1\frac{5}{8}$ pounds.

Step-by-step explanation:

The amount of berries in first basket = 3 3/8 pounds

Now, $3\frac{3}{8} = 3+\frac{3}{8} = 3 + 0.375 = 3.375$

So, the amount of berries in first basket = 3.375 pounds

The amount of berries in second basket = 2 7/8 pounds

Now, $2\frac{7}{8} = 2+\frac{7}{8} = 2 + 0.875 = 2.875$

So, the amount of berries in second basket = 2.875 pounds

Now, the total berries = Berries in ( First + Second) basket

= 3.375 pounds + 2.875 pounds

= 6.25 pounds

So, the number of pounds each person would have = $\frac{\textrm{Total weight of viable berries}}{\textrm{4}} = \frac{6.25}{4} = 1.5625$

Now, $1.5625 = 1 + 0.5625 = 1 + \frac{5625}{10000} = 1 + \frac{5}{8} = 1\frac{5}{8}$

So, the number of pounds of berries each person would receive is $1\frac{5}{8}$ pounds.

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3 years ago

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dusya [7]

Answer:

Step-by-step explanation:

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2 years ago

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2 years ago

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