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BabaBlast [244]
3 years ago
14

Three students were asked to draw a diagram of the following situation and their responses are recorded below:

Mathematics
1 answer:
aksik [14]3 years ago
4 0

Answer:

Angle of Depression and Angle of Elevation

One application of the trigonometric ratios is to find lengths that you cannot measure. Very frequently, angles of depression and elevation are used in these types of problems.

Angle of Depression: The angle measured down from the horizon or a horizontal line.

Angle of Elevation: The angle measured up from the horizon or a horizontal line.

What if you placed a ladder 10 feet from a haymow whose floor is 20 feet from the ground? How tall would the ladder need to be to reach the haymow's floor if it forms a 30∘ angle with the ground?

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David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If
xxTIMURxx [149]

Answer:

40/9

Step-by-step explanation:

Use the work formula, \frac{1}{A} + \frac{1}{B} = \frac{1}{T}, where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.

Plug in the times for David and Alex alone:

\frac{1}{10} + \frac{1}{8} = \frac{1}{T}

Find the least common denominator, which is 40.

\frac{4}{40} + \frac{5}{40} = \frac{1}{T}

\frac{9}{40} = \frac{1}{T}

Cross multiply and solve for T:

9T = 40

T = 40/9

So, if they worked together, it would take them 40/9 hours

3 0
2 years ago
Read 2 more answers
HELP PLEASE!!! I am doing my math and I need someone to help me with this problem. I am very confused and my family is gone on a
yanalaym [24]

Answer:

1) 250 meters= 0.25 km

2) 12 meters=  0.012km

3) 1 meter= 0.001 km

The constant of proportionality is 1000 meters in 1km (1000 meters)

I think there’s a mistake on the second part because 1 meter does not equal to 1000km. but I did part 1 for you!

4 0
3 years ago
The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.
Inessa [10]

Answer: 1:1

Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

Formula: Curved surface area of cylinder = 2\pi rh

Now, if  radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height  will be  H=\dfrac{1}{2}

Now, new surface area = 2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh

Ratio of curved surface areas : \dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}

Hence, the ratios of their surface areas = 1:1 .

5 0
2 years ago
Help me, please!<br><br> ||x−5|+2|≤3
LekaFEV [45]

Answer:

the answer to your question of finding x is,

x = 6

6 0
3 years ago
Read 2 more answers
What is the slope of the line?
spin [16.1K]

Answer:

-7/2

Step-by-step explanation:

The slope of a line can be defined as: \frac{rise}{run}, which can be more formally calculated as: \frac{y_2-y_1}{x_2-x_1}, where it's essentially the same thing, except the rise/run is being calculated with two points (which you already need)

So let's just say: (x_1, y_1)=(-5, 5)\text{ and } (x_2, y_2)=(-3, -2)

Plugging the values into the equation we get: \frac{-2-5}{-3-(-5)}\implies\frac{-7}{-3+5}\implies-\frac{7}{2}

You can also just look at the graph and see that from point 1 to point 2, it "rised" -7 units, and "ran" 2 units.

Notice how the "rise" is negative? That just means it went down.

4 0
1 year ago
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