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1 year ago

Find x. Round your answer to the nearest tenth of a degree . Please help I will mark brainliest

Mathematics

1 answer:

Oksana_A [137]1 year ago

7 0

Using trigonometric ratio, the value of x is 63.6°

<h3>Trigonometric Ratio</h3>

This is the ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Trigonometric ratio are often coined as SOHCAHTOA

In the given triangle, we need to find the value of x using trigonomtric ratio.

Since we have the value of adjacent and hypothenuse, we definitely need to use cosine

cosθ = adjacent / hypothenuse

adjacent = 4

hypothenuse = 9

Substituting the values into the equation;

cos θ = 4 / 9

cos θ = 0.444

θ = cos⁻¹ 0.4444

θ = 63.6°

Learn more on trigonometric ratio here;

brainly.com/question/24349828

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3 years ago

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Answer:

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Julia rides her horse 18 km with a constant speed of 6km/hr and another 24 km with a constant speed of 12 km/hr. What is her ave

nlexa [21]

Answer:

8.4 km/hr.

Step-by-step explanation:

We have been given that Julia rides her horse 18 km with a constant speed of 6 km/hr.

Let us find the time taken by Julia to cover a distance of 18 km.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$\text{Time taken to cover 18 km}=\frac{18\text{ km}}{\frac{6\text{km}}{\text{hour}}}$

$\text{Time taken to cover 18 km}=\frac{18\text{ km}}{6}\times\frac{\text{hour}}{\text{km}}$

$\text{Time taken to cover 18 km}=\frac{18}{6}\times\text{hour}$

$\text{Time taken to cover 18 km}=3\text{ hour}$

We are also told that she rides another 24 km with a constant speed of 12 km/hr.

Let us find the time taken by Julia to cover a distance of 24 km.

$\text{Time taken to cover 24 km}=\frac{24\text{ km}}{\frac{12\text{km}}{\text{hour}}}$

$\text{Time taken to cover 24 km}=\frac{24\text{ km}}{12}\times\frac{\text{hour}}{\text{km}}$

$\text{Time taken to cover 24 km}=\frac{24}{12}\times\text{hour}$

$\text{Time taken to cover 24 km}=2\text{ hour}$

Since we know that $\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}$ .

Upon substituting our values in above formula we will get,

$\text{Julia's average speed}=\frac{18\text{ km}+24\text{ km}+}{3\text{ hour}+2\text{ hour}}$

$\text{Julia's average speed}=\frac{42\text{ km}}{5\text{ hour}}$

$\text{Julia's average speed}=\frac{8.4\text{ km}}{\text{ hour}}$

Therefore, Julia's average speed is 8.4 km per hour.

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Answer:

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Step-by-step explanation:

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