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Andrej [43]
3 years ago
9

Question 5 A ladder leans against the side of a house. The angle of elevation of the ladder is 65 degrees when the bottom of the

ladder is 16 ft. from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer: 37.9 ft

Step-by-step explanation:

concept to know: trigonometric relation (sine, cosine, tangent)

In this case, we use cosine (adjacent/hypotenuse)

   cos (65)=16/x

16/ cos(65)=x

               x=37.9 ft (rounded)

       

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A fair die is cast four times. Calculate
azamat

Answer:

I'd say that is an "occupancy problem".

I ran a spreadsheet simulation of that and I'd say the probability is approximately .13

Those problems are rather complex to solve.  What I think you would have to do is calculate the probability of  

A) ZERO sixes appearing in 4 rolls.

B) exactly 1 six appears in 4 rolls.

C) exactly 2 sixes appear in 4 rolls.

D) exactly 3 sixes appear in 4 rolls. and

E) exactly 4 sixes appear in 4 rolls.

4 rolls of a die can produce 6^4 or 1,296 combinations.

A) is rather easy to calculate:  The probability of NOT rolling a six in one roll is 5/6.  In 4 rolls it would be (5/6)^4 = 0.4822530864

E) is fairly easy to calculate: The probability of rolling one six is (1/6).  The probability of rolling 4 sixes is (1/6)^4 = 0.0007716049

Then we need to:

D) calculate how many ways can we place 3 objects into 4 bins

C) calculate how many ways can we place 2 objects into 4 bins

B)  calculate how many ways can we place 1 objects into 4 bins

I don't know how to calculate D C and B

Step-by-step explanation:

3 0
4 years ago
Which of the following is a composite number between 40 and 50?
Agata [3.3K]
The answer is 42 because 42 times 1 equals 42, 2 times 21 equals 42 and 3 times 14 equals 42.
7 0
4 years ago
Read 2 more answers
write the equation for an exponential function, in the forms y = a x b^x, whose graph passes through the coordinate points (1, 7
zysi [14]
Y = abˣ
(a ≠ 0, b ≠ 0)

(1, 7.5)
x = 1
y = 7.5
    ↓
7.5 = ab

(3, 16.875)
x = 3
y = 16.875
        ↓
16.875 = ab³

   7.5 = ab
     b      b
7.5/b = a

    16.875 = ab³
         b³        b³
16.875/b³ = a

     7.5/b  = 16.875/b³
7.5/b(b³) = 16.875/b³(b³)
     7.5b² = 16.875
      7.5         7.5
          b² = 2.25
      √(b²) = √(2.25)
           b = 1.5

a = 7.5/b
a = 7.5/1.5
a = 5

y = 5(1.5)ˣ
8 0
4 years ago
Read 2 more answers
Evaluate 60 • x-60 · 15, when x=8.
mamaluj [8]

Answer:

The right answer is, -420

Step-by-step explanation:

Because we use common factor:

60 (x - 15)

We multiply for each term:

 

60 (x) - 60 (15)

60 (8) - 60 (15)

We solve:

480 - 900 = -420

8 0
3 years ago
Help me please with this
Elis [28]

Answer:

155.43 in^3

Step-by-step explanation:

base*hight

=> \pi r^2 = 3^2*\pi =9*3.14=28.26

=> B*H=28.26*5.5=155.43\\

5 0
3 years ago
Read 2 more answers
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