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3 years ago

12

Rápido y fácil, trigonometría. Urgente porfavor

1 answer:

enot [183]3 years ago

3 0

Answer:

The angle $\theta$ measures approximately $28.81^o$

Step-by-step explanation:

Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

$tan(\theta)=\frac{opposite}{adjacent}$

Then, for our case we get a starting equation that reads:

$tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}$

and for which we need to solve for $\theta$ . Then we use the arctangent function to get the final answer:

$tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o$

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malfutka [58]

17% of 99 is 16.83. Since that's only the distance it goes in one minute we have to multiply that by 3. 16.83 × 3 = 50.49. Since the elevator is moving down then it will be negative. The answer will be -50.49 meters.

4 0

3 years ago

Read 2 more answers

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}$

5 0

3 years ago

Paige’s income statement for the month of December is shown. Paige monthly income statement for December. Total wages are 1,850

DedPeter [7]

Answer:

Paige’s net income for December is $950

Step-by-step explanation:

Here in this question, we are interested in calculating Paige’s net income for December

Mathematically;

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From the question, monthly wage = $1,850 while the total expenses = $900

Thus, the net income will be ; $1,850 - $900 = $950

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3 years ago

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zepelin [54]

Answer:

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Step-by-step explanation:

(x)(x+1)(x+2)=23639616

x^3+3x^2+2x=23639616

After solving the equations, you should get the answers.

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3 years ago

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Ksivusya [100]

Answer:

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3 years ago