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4 years ago

Find the height, x, of the tree.

Mathematics

1 answer:

Yuri [45]4 years ago

4 0

Answer:

52.02 ft

Step-by-step explanation:

We can use equation tan θ = opposite/adjacent to solve for the opposite side x.

tan40° = x / 62

62tan40° = x

x = 52.02 ft

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Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

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4 years ago

Can you guys help me with these unit rates

Radda [10]

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2. 38

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3 years ago

Round to the nearest dollar $7,563.27

Ivenika [448]

Answer:

$7,563

Step-by-step explanation:

We will round to the nearest whole number to round to the nearest dollar

$7,563.27

since we have 27 cents ( .27), that is less than 50 cents, we leave it alone

$7,563.00 or $7,563

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4 years ago

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3 years ago

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pishuonlain [190]

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Step-by-step explanation:

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