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KengaRu [80]
2 years ago
11

dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places th

e ladder at a 70° angle with the ground, represented by zero
Mathematics
1 answer:
gregori [183]2 years ago
6 0

Complete question :

dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.

Answer:

24.43 feets

Step-by-step explanation:

Using trigonometry :

Sinθ = opposite / hypotenus

Opposite = height, h

Hypotenus = 26

Sin 70° = h / 26

0.9396926 * 26 = h

height, h = 24.43 feets

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3 years ago
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Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...
timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

a_1=-36

now, we can find common ratio

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now, we can find nth term

a_n=a_1(r)^{n-1}

now, we can plug values

and we get

a_n=36(-\frac{1}{6})^{n-1}

now, we can find 5th term , 6th term, 7th term

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a_5=36(-\frac{1}{6})^{4}

a_5=\frac{1}{36}

sixth term:

a_6=36(-\frac{1}{6})^{5}

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seventh term:

a_7=36(-\frac{1}{6})^{6}

a_7=\frac{1}{1296}

so, next terms are

a_5=\frac{1}{36} , a_6=-\frac{1}{216}

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6 0
3 years ago
32% of a number is 64 what is the number
Serjik [45]

Answer:

If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.

Step-by-step explanation:

7 0
3 years ago
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Alex

Answer:

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Step-by-step explanation:

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ln (2x8)/4

=ln 4

7 0
3 years ago
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