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2 years ago

1. Walmart’s stock price started at $70. It went up by $2, then went down by $4. What is the final stock price?

Mathematics

1 answer:

Paul [167]2 years ago

3 0

Answer:

Step-by-step explanation:

70+2-4= 68

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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:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\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 $\sqrt{4} =2$ :

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

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

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3 years ago

Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into eac

Elden [556K]

Answer:

1/8

Step-by-step explanation:

16 (cups in a gallon ) divided by 2=8=1/8

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3 years ago

Find the exact value of COS 300°

pav-90 [236]

Answer:

cos 300° = cos 60° = 0.5

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Solve the equation. Check your solution. k/-8=2

Lapatulllka [165]

Multiply both sides by -8 to get k = -16
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2 years ago

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