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Vlada [557]
3 years ago
14

A 24 foot ladder is placed against a building at an angle of 75⁰. How far is the bottom of the ladder from the building?

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0
24ft is the hypotenuse, at an angle of 75<span>⁰, and we need to find the adjacent.

We use cos(), which is adjacent divided by hypotenuse.

Therefore, we can find the adjacent by doing:

25 * cos(75) = 6.47ft

Round the answer however you like.</span>
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Find the 15th term of this arithmetic sequence for 20,26,32,38,44
olga2289 [7]

Answer:

104

Step-by-step explanation:

There are two ways to do it, though we need to know how it is affected.

20+6=26

26+6=32

32+6=38

38+6=44

Thus, you are adding 6 for each term.

1. You do it manually...(yes.)

I'll number it one by one

1.20

2.26

3.32

4.38

5.44

6.50

7.56

8.62

9.68

10.74

11.80

12.86

13.92

14.98

15.104

The 15th term is 104.

2. This method is easier. As shown above, there is a pattern. We can apply it using this formula:
20+6(n-1)

You can get this formula from the facts that:
-you start off with an additional added 8

-you add 6 every time

-if we do it 6n then it would be incorrect, with an extra 6 for each

-the formula is correct; you can test it for terms 2,3,4,5 like this:

20+6=26

20+2x6=32

20+3x6=38

20+4x6=44

To find the 15th term, you can:

20+14x6=20+84=104.

5 0
2 years ago
Find the area of each figure. Round to the nearest hundredth if needed.
Hitman42 [59]

Answer:

<h3>#1</h3>

<u>Trapezoid</u>

  • A = (b₁ + b₂)h/2
  • A = (4.8 yd + 29.4 ft)(8 yd)/2 = (14.6 yd)(4 yd) = 58.4 yd²
<h3>#2</h3>

<u>Rectangle</u>

  • A = ab
  • A = 2 yd * 3.1 yd = 6.2 yd²
<h3>#3</h3>

<u>Equilateral triangle</u>

  • A = √3/4a²
  • A = √3/4(10²) = 25√3
<h3>#4</h3>

<u>Regular octagon</u>

  • A = aP/2
  • A = 14.5(12*8)/2 = 696

6 0
3 years ago
1. Zoey took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.20 plus $3.25 per mile. The tota
RoseWind [281]

equation:3.25x+1.2=40.2

ansrew:x=12

5 0
3 years ago
How can i get better at maths
ivann1987 [24]

by consentration at class and think maths is easy solve ur question and see u willl have what u need

8 0
3 years ago
Factor each polynomial (1)64-40ab
nikklg [1K]
<span>64-40ab
=8(8-5ab)
....................................</span>
5 0
3 years ago
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