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Rudiy27
2 years ago
11

9. A 16-ft ladder is leaning against the side of a house. The ladder touches the ground 9 ft away from the house. What angle doe

s the ladder make with the ground?
Round to the nearest WHOLE number.
Note: this is a trigonometry question

Mathematics
2 answers:
Mandarinka [93]2 years ago
8 0

Answer:

Check pdf

Step-by-step explanation:

Download pdf
Snezhnost [94]2 years ago
3 0

55.77°

<h3>EXPLANATION:</h3>

In ◣ ABC, (consider the diagram)

cosΦ = b/h = 9/16

cosΦ = 9/16

Φ = 9/16 × cos-¹

Φ = 55.77

Hence, the angle between the ladder and ground is approximately 56°.

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Could I have some help on my patterns assignment​
nydimaria [60]

Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

<em>Conjecture:</em> Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

<em>Conjecture:</em> Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

<em>Conjecture:</em> Each term is a cube. To find the nth term, cube n.

4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

<em>Conjecture:</em> Each term is the next consecutive prime number.

5. <u><em>Correct as is</em></u>

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

<em>Conjecture:</em> Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

<em>We add 5 to each number</em>

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

<em>Divide each number by 2</em>

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

<em>We have to cube n:</em>

<u><em>n³ = consecutive number cubed</em></u>

<u><em></em></u>

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: <u><em>Consecutive prime numbers are those that have no gaps or prime numbers between them.</em></u>

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

<em>We must add the two previous numbers to get the next term:</em>

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89

8 0
1 year ago
Practice isolating the variable to solve equations with
bulgar [2K]

Answer:

9 =6x

Step-by-step explanation:

We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.

5 0
3 years ago
1. What is the fourth term in the expansion of (x + 4y)^6?
aev [14]
For the fourth term r = 3
Fourth term = 6C3(x)^(6 - 3) (4y)^3 = 20x^3 (64y^3) = 1,280x^3y^3
7 0
3 years ago
Help please! I have to answer what is wrong with this ,but I am getting really confused.
Aliun [14]

Answer:

x = 113

Step-by-step explanation:

Vertical angles are congruent. To the left of 113 would be 67 but x is not.

8 0
3 years ago
Its
damaskus [11]

Answer:

P(Green\ and\ Green) = \frac{25}{144}

Step-by-step explanation:

Given

Green=5

Blue = 7

Required

P(Green\ and\ Green)

This is calculated as:

P(Green\ and\ Green) = P(Green) * P(Green)

Since, it is a probability with replacement, we have:

P(Green\ and\ Green) = \frac{Green}{Total} * \frac{Green}{Total}

So, we have:

P(Green\ and\ Green) = \frac{5}{12} * \frac{5}{12}

P(Green\ and\ Green) = \frac{25}{144}

5 0
3 years ago
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