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3 years ago

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The surface, or rim, of a canyon is at an altitude of 71 m. On a hike down into the canyon, a Party of hikers stops for a rest 1

14 m below the rim. Then they descend another 64 m. What is their new altitude?

1 answer:

Step2247 [10]3 years ago

5 0

<span>60 to minus 129 - = - 69 -68 = -137m</span>

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The semi circle and isosceles triangle have the same base AB and the same area. Find angle x. Show workout.

Nina [5.8K]

$r= \frac{AB}{2} \\ \\A_{semi\:circle }=\frac{r^2\pi}{2} \\ \\A_{triangle}=A_{semi\:circle }=\frac{r^2\pi}{2} \\ \\A_{triangle}= \frac{2r\times h}{2} =rh \\ \\\frac{r^2\pi}{2}= rh \\ \\h=\frac{r\pi}{2} \\ \\ \tan{x}= \frac{h}{r} = \frac{\frac{r\pi}{2}}{r} =\frac{\pi}{2} \\ \\x=\arctan{\frac{\pi}{2}}
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\\x \approx 57.52^o$

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3 years ago

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$

To find the speed, we have to differentiate both sides with respect to time 't'

$\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6$

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0

10 months ago

Which linear function represents the table

My name is Ann [436]

Answer:-5.5

Step-by-step explanation:

you can do the y divided by the x to get what you are multiplying by which would be 5.5

8 0

3 years ago

Read 2 more answers

Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.

kirza4 [7]

Answer:

$-3\frac{1}{2}$

Step-by-step explanation:

-3.5 means -(3 + $\frac{1}{2}$ )

In other words, -3.5 = $-3\frac{1}{2}$

When we draw two numbers $-3\frac{1}{3}$ and $-3\frac{1}{2}$ on a number line, $-3\frac{1}{2}$ comes first from left to right.

We know that all the numbers on a number line from left to right are in increasing order.

Therefore, $-3\frac{1}{2}$ is smaller than $-3\frac{1}{3}$ .

$-3\frac{1}{2}$

Lauren is not correct.

3 0

2 years ago

Write an equation of the line that passes through the given point and has the given slope.

Minchanka [31]

Answer:

y = -x - 4

Step-by-step explanation:

the equation of a linear graph is y = mx + b

you know the m = -1

so now the equation is y = -x + b

from here, what you could do to find b is...

plug (-1, -3) into the equation

1) x = -1, y = -3

2) -3 = -(-1) + b

3) -3 = 1 + b

4) -4 = b

or you can look at the y-intercept which is where the line intersects with the y-axis

it seems to be (0, -4)

so "b" would be equal to -4

this makes the final equation y = -x + (-4) or y = -x - 4

4 0

2 years ago