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never [62]
3 years ago
5

The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

<u>We are given:</u>

a right angled triangle with the angle of elevation = 20 degrees

Hypotenuse of the Triangle = 500 m

<u>Finding the change in Elevation:</u>

We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle

Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees

Perpendicular = 500 * 0.342           <em>[sin(20 degrees) = 0.342]</em>

Perpendicular = 171 m

The closest value to 171m in the given options is 170m

Therefore, 170m <em>(option B)</em> is correct

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zzz [600]
56 is what I got.

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3 years ago
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52.75 with a 25% discount. How much will he pay for it?
Allisa [31]

Answer:

He pays $39.56

Step-by-step explanation:

If finding the discount, always divide the percent by 100.

25% = 0.25

52.75*0.25=13.1875

Because its money, round to hundredths place, $13.19

Subtract the "percent" (13.19) from 52.75

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3 years ago
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Use the graph or table to identify the value that makes this relationship proportional.
julsineya [31]

Answer:

33

Step-by-step explanation:

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3 years ago
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Find the equation of the line passing through the points (3,-2) and (4,6) in slope intercept form.​
noname [10]

Hey!

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They already give us the slope, so we can solve the y-intercept.

We can use (3, -2).

y = 8x + b

-2 = 8(3) + b

-2 = 24 + b

-2 - 24 = 24 + b - 24

-26 = b

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Hence, the answer is \Large\boxed{\mathsf{y~=~8x~+~-26}}

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Hope This Helped! Good Luck!

4 0
3 years ago
Number of different 5 digit combinations if successive digits msut be different
Maslowich
For the first digit you have 10 options (0..9).
For each next digit you can't choose the same digit, so you have 9 options.

So number of combinations is 10*9*9*9*9 = <span>65610</span>
4 0
3 years ago
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