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kotegsom [21]
3 years ago
11

The escalator rises 25° from the ground and a vertical distance of 42 feet. How much horizontal distance does the escalator cove

r? Round to the nearest tenth.
Mathematics
1 answer:
zvonat [6]3 years ago
5 0
Tangent (25) = opp / adj = 42 / horizontal distance
horizontal distance =  42 / tangent (25)
horizontal distance = 42 / 0.46631
horizontal distance = <span> <span> <span> 90.068838326435200 </span> </span> </span>
horizontal distance = 90.1 feet


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Which is equal to 6^-8/6^-2 A. 616 B. 64 C. 6−6 D. 6−10
rjkz [21]
6-6.
6^-8/6^-2 becomes 6^-8(6^2) which is 6^-8+2=6^-6
4 0
3 years ago
DJ Titus is making a playlist for a radio show; he is trying to decide what 10 songs to play and in what order they should be pl
Dominik [7]

Answer:

Different playlists possible = 18287141644800

Step-by-step explanation:

Given - DJ Titus is making a playlist for a radio show; he is trying to

            decide what 10 songs to play and in what order they should be

            played.

            Step 1 of 2 : If he has his choices narrowed down to 7 blues,

                                 7 disco, 5 pop, and 7 reggae songs.

To find - He wants to play no more than 4 reggae songs.

              How many different playlists are possible ?

Proof -

Given that he wants to play no more that 4 reggae songs.

So the possibility of choice of reggae song is 0, 1, 2, 3, 4

Now,

Case I -

If 0 reggae song is selected

⇒All 10 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₁₀ ₓ ⁷C₀ = 92,378

Case II -

If 1 reggae song is selected

⇒All 9 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₉ ₓ ⁷C₁ = 646,646

Case III -

If 2 reggae song is selected

⇒All 8 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₈ ₓ ⁷C₂ = 1,587,222

Case IV -

If 3 reggae song is selected

⇒All 7 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₇ ₓ ⁷C₃ = 1,763,580

Case V -

If 4 reggae song is selected

⇒All 6 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₆ ₓ ⁷C₄ = 949,620

So,

Total possible ways = 92,378+ 646,646+ 1,587,222+ 1,763,580+ 949,620

                               = 5,039,446

⇒Total possible ways = 5,039,446

Now,

Also the 10 songs selected can arranged themselves in 10! ways. ( because order of song played does not matter )

∴ we get

Different playlists possible = 10! × 5,039,446

                                          = 18287141644800

⇒Different playlists possible = 18287141644800

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2 years ago
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Step-by-step explanation:

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3 years ago
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Answer:

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5. Triangle  

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Step-by-step explanation:

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The answer is option 3.

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In order to solve the inequality, you have to get rid of -3 by adding 3 to both sides :

k - 3 \leqslant 9

k - 3 + 3 \leqslant 9 + 3

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4 0
3 years ago
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