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Hunter-Best [27]
3 years ago
10

Shane has 1/2 pound of cheese to make 4 sandwiches. He wants to use the same amount of cheese in each sandwich. What fraction of

one pound of cheese will be used in each?
Mathematics
1 answer:
anastassius [24]3 years ago
6 0

Answer:

The fraction of one pound of cheese to be used in each sandwich is 1/8

Step-by-step explanation:

Here, we have a question that requires the method of dealing with the division of fractions.

To divide a fraction by a whole number, we multiply the denominator of the fraction by the whole number as follows;

\frac{x}{y} \div z =\frac{x}{y\times z}

Quantity of cheese Shane has = 1/2 pound

Number of sandwiches to be made = 4

Amount of cheese per sandwich = 1/2÷4 = 1/8.

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Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

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Using half-angle identity:

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$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

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$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
4 years ago
I need help asap with this question it’s due tonight
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Answer:

The answer is 44 cm^2

I hope it helps

3 0
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Natali [406]
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2  1   This is the coefficient matrix.
6  3

6 - 6 = 0

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8 0
3 years ago
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Find all the factors of 45
scoundrel [369]

Answer:

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Common Factors.

Prime Numbers.

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