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RideAnS [48]
3 years ago
7

What is f(-6)? Help!!!!!!!!!!

Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

F(-6) is the x coordinate, and you need to find the Y coordinate of the graphed line.

at x = -6, the line crosses the Y axis at 6.

The answer is 6.

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In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is . After y
Alla [95]

Answer:

In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive x = 13 km closer to the mountain, the angle of elevation is 9°. Find the height of the mountain (round to one decimal place). Just enter the height value with one decimal. Do not enter the unit.

The height of the mountain is 1.2 km without unit it is only 1.2

Step-by-step explanation:

Given:

Two angle of elevation.

We have to find the height of the mountain.

Let the height be "h" .

Note:

Angle of elevation will increase as we move closer to the object.

Considering the distance from 3.5 ° as (13+x) km

Using trigonometric ratios:

For adjacent side "x".

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

⇒ tan(9) = \frac{h}{x}               <em> ...equation (i)</em>

⇒ x\times tan(9) = h         <em>...equation (ii)</em>

For adjacent side "(13+x)"

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

⇒ tan(3.5) = \frac{h}{13+x}          <em>...equation (iii)</em>

 Dividing equation (i) and (iii).

⇒ \frac{tan(9)}{tan(3.5)} =\frac{h}{x}\times \frac{13+x}{h}

⇒ 2.58 =\frac{13+x}{x}                  <em>...cross multiplication</em>

⇒ 2.58x=13+x

⇒ 2.58x-x=13+x-x   <em>...subtract x both side</em>

⇒ 1.58x=13

⇒ x=\frac{13}{1.58}

⇒x=8.22 km

Plugging x=8.22 km in equation (ii) we can find h that is the height of the mountain.

So,

⇒ x\times tan(9) = h

⇒ 8.22\times 0.15 =h

⇒ 1.23 = h

The height of the mountain is 1.23 km with one decimal it is 1.2 km only.

4 0
3 years ago
Consider the following binomial experiment: A newspaper publisher claims that 52% of the people in a certain community read his
AURORKA [14]

Answer:

SD = 8.4932

Step-by-step explanation:

Given

Sample\ Size (n) = 289

proportion, p= 52\%

Required

Determine the standard deviation (SD)

The standard deviation of a binomial distribution is calculated as thus:

SD = \sqrt{np(1-p)}

Substitute values for n and p

SD = \sqrt{289 * 52\% * (1-52\%)}

Convert to decimals

SD = \sqrt{289 * 0.52 * (1-0.52)}

SD = \sqrt{289 * 0.52 * 0.48}

SD = \sqrt{72.1344}

SD = 8.49319727782

SD = 8.4932 --- <em>approximated</em>

<em>Hence, the calculated standard deviation is approximately 8.4932</em>

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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