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3 years ago

I don’t understand how to solve this. Please explain the steps. Thanks.

Mathematics

2 answers:

statuscvo [17]3 years ago

3 0

Answer:

Step-by-step explanation:

When you are raising something to a fractional power, you are raising it to the power of the numerator and finding the root denoted by the denominator. The explanation above is kinda confusing, so here is an example:

x^(3/5)

This would be written as:

$\sqrt[5]{x^3}$

Now for the actual problem. Since the numerator is 4, we start by raising x to the 4th power, x^4.

Because the denominator is 5, we find the 5th root:

$\sqrt[5]{x^4}$

This matches none of the answers shown, so the answer is none of the above or D.

trapecia [35]3 years ago

3 0

Answer:

Step-by-step explanation:

The answer would be 5 square root x^4

See Image Below:)

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solong [7]

Answer:

x = 182.53

Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

Let's solve.

✍️Finding the whole side length adjacent to 20°:

Opp = 87

Adjacent length = ? = a

$\theta = 20$

Thus,

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

Plug in the values

$tan(20) = \frac{87}{a}$

Multiply both sides by a

$tan(20) \times a = \frac{87}{a} \times a$

$tan(20) \times a = 87$

Divide both sides by tan(20)

$\frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)}$

$a = \frac{87}{tan(20)}$

$a = 239.03$

Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

$\theta = 57$

Thus,

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

Plug in the values

$tan(57) = \frac{87}{b}$

Multiply both sides by b

$tan(57) \times b = \frac{87}{b} \times b$

$tan(57) \times b = 87$

Divide both sides by tan(57)

$\frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)}$

$b = \frac{87}{tan(57)}$

$b = 56.50$

Therefore:

x = a - b

x = 239.03 - 56.50

x = 182.53

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