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Alexandra [31]
2 years ago
5

6.

Mathematics
1 answer:
Rudik [331]2 years ago
5 0

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

<em>Additional comment</em>

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

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2 years ago
H function is even, odd, or neither.<br> b. g(x) = x² - 2<br> Is it odd or even
o-na [289]

g(x) = x^2 - 2 \text{ is even function }

<em><u>Solution:</u></em>

Given that,

g(x) = x^2 - 2

We have to find whether the above function is odd or even

If a function is: y = f(x)

If f(-x) = f(x), the function is even

If f(-x) = - f(x), the function is odd

Which is,

\mathrm{Even\:Function:\:\:A\:function\:is\:even\:if\:}f\left(-x\right)=f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}\\\\\mathrm{Odd\:Function:\:\:A\:function\:is\:odd\:if\:}f\left(-x\right)=-f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}

From given,

g(x) = x^2 - 2

Replace x with -x

g(-x) = (-x)^2 - 2\\\\g(-x) = x^2 - 2

Therefore,

g(x) = g(-x)

Thus the function g(x) is even

4 0
3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Add 4x to each side

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Divide each side by 4

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6 0
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Answer:

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Step-by-step explanation:

Express the ratio on the left as a decimal:

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The unit rate is $0.75 per lemon.

7 0
2 years ago
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