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love history [14]
3 years ago
11

A portion of a hiking trail slopes upward at about a 6 angle. To the nearest tenth of a foot, what is the value of x, the distan

ce the hiker traveled along the path, if he has traveled a horizontal distance of 120 feet?
Mathematics
1 answer:
Firdavs [7]3 years ago
4 0
The distance covered by the hiker if he traveled a horizontal distance of 120 ft at and angle of 6° will be given by:
cos θ=adjacent/hypotenuse
let the hypotenuse be h, adjacent =120 ft, θ=6°, thus plugging in the values we shall have:
cos 6=120/h
h=120/cos 6
h=120.661 ft
Answer: 120.661 ft
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Answer:

61

Step-by-step explanation:

straight line = 180 degree

to find the measure of angle QPR,

subtract 119 from 180

=>            180-119

=>            61

angle QPR = 61 degree

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Find m2 ABD.<br> A<br> D<br> 40°<br> B<br> C
FromTheMoon [43]
Answer:

40°

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2 years ago
3. The volume of a shipping container is 448.656 cubic inches and it can hold 24 smaller boxes. What is the volume of each of th
Licemer1 [7]

We are given volume of a shipping container = 448.656 cubic inches.

And this shipping container can hold =  24 smaller boxes.

Volume of each small box = \frac{The\ volume\ of\ the \ shipping\ container}{Volume \ of \ each \ small \ box}.

= \frac{448.656}{24}

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7 0
3 years ago
The diagram represents 6x2 – 7x 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entrie
a_sh-v [17]

Factors of a polynomial can divide it without leaving remainder. The other factor of 6x^2 - 7x + 2 is given by Option D :  3x + 2

<h3>How to factorize a polynomial?</h3>

Let the  polynomial A(x) has one factor f(x).

Then, it means, we have:

\dfrac{A(x)}{f(x)} = g(x)

Thus, A(x) can be written as A(x) = f(x) \times g(x)

Thus, the other factor of that polynomial is

g(x) = \dfrac{A(x)}{f(x)}

For given case, the polynomial A(x) is

A(x) = 6x^2 - 7x + 2

Its one factor f(x) is given f(x) = 2x - 1

Thus, its second factor is obtained as:

g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)}  = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)

Thus, the second factor of the given polynomial is

Option D :  3x + 2

Learn more about factors of polynomials here:

brainly.com/question/16078564

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2 years ago
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