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2 years ago

Find the value of x in the given right triangle

Mathematics

1 answer:

olchik [2.2K]2 years ago

3 0

Answer:

The answer to your question is x = 35°

Step-by-step explanation:

Data

angle x = ?

Opposite side = 7

Adjacent side = 10

Process

To answer this question use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is the tangent.

Tan x = Opposite side / Adjacent side

- Substitution

Tan x = 7 / 10

- Simplification

Tan x = 0.7

- Result

Tan⁻¹ x = x = 34.99 or x ≈ 35°

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Svetlanka [38]

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The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068

The given parameters are:

$\mathbf{Bars = 6}$

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$\mathbf{Custard= 3}$

The total number of donuts in the box is:

$\mathbf{Total= 6 + 3 + 3}$

$\mathbf{Total= 12}$

The probability of eating a chocolate donut, and then a custard filled donut is calculated using:

$\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}$

So, we have:

$\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}$

Simplify

$\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}$

Multiply

$\mathbf{Pr = \frac{9}{132}}$

Divide

$\mathbf{Pr = 0.068}$

Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068