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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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3 years ago
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A computer chess game and a human chess champion are evenly matched. They play twelve games. Find probabilities for the followin
sleet_krkn [62]

Answer:

The probability that they each win six games is 0.225.      

Step-by-step explanation:

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Solution :

Applying binomial distribution,

Here n=12 and p=0.5

P(X=k)=\frac{n!}{k!(n-k)!}\times p^k\times (1-p)^{n-k}

The probability that they each win six games is k=6.

P(X=6)=\frac{12!}{6!(12-6)!}\times 0.5^6\times (1-0.5)^{12-6}

P(X=6)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6\times 5\times 4\times 3\times 2\times 6!}\times 0.015625\times 0.015625

P(X=6)=11\times 2\times 3\times 2\times 7\times 0.015625\times 0.015625

P(X=6)=0.225

Therefore, The probability that they each win six games is 0.225.

3 0
3 years ago
Help with these two math questions thank u :)
Tju [1.3M]

Answer:

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4 0
2 years ago
At an electronics store, a $165 television is marked up 110%. Dave purchases the TV and must pay 6.5% sales tax. What is his fin
Mariana [72]
Firstly, we need to know the price of the TV after the 110$ increase.
     $165 x 1.10 = $181.50
[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]

Now for the sales tax. We apply a similar method.
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     6.5% of $181.50 is $11.79, so we add the two together to find the final cost.

The final cost of the TV is $193.29
4 0
3 years ago
X(x+3) + 34 = (x +5)(x+2)
My name is Ann [436]
X(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses. 
x^{2} + 3x + 34 =  x^{2} + 2x + 5x + 10
Second, add '2x + 5x' to get '7x'.
x^{2} + 3x + 34 =  x^{2}  + 7x + 10
Third, cancel out 'x^{2}' on both sides.
3x + 34 = 7x + 10
Fourth, subtract '3x' from both sides.
34 = 7x + 10 - 3x
Fifth, subtract '7x - 3x' to get '4x'.
34 = 4x + 10
Sixth, subtract '10' from both sides.
34 - 10 = 4x
Seventh, subtract '34 - 10' to get '24'.
24 = 4x
Eighth, divide both sides by '4', leaving the 'x' by itself.
\frac{24}{4} =x
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
6 = x
Tenth, switch your sides to get the answer.
x = 6

Answer: x = 6

4 0
3 years ago
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