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Elden [556K]
3 years ago
10

A hot air balloon hovers 75 feet above the ground. The balloon is tethered to the ground

Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

Angle of elevation is 37°

<u>Step-by-step explanation:</u>

As we have the opposite side 75 ft to the angle and the hypotenuse 125 ft, we can find the sine value as,

sin θ = opp/ hyp

       = 75/125

     = 0.6

θ = sin⁻¹ (0.6) = 36.9°≈ 37°

So angle of elevation is 37°.

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If w is a string of english letters a–z (all uppercase for the purposes of this problem), let wr denote the reverse of w; (train
Dennis_Churaev [7]

Answer:

f(x)=\left \{\begin{array}{rl}26^{\frac{k}{2}}&\text{for k even}\\26^{\frac{k+1}{2}}&\text{for k odd}\end{array}\right.

Step-by-step explanation:

Half the length of the palindrome can be any possible sequence of the 26 available letters. The other half is constrained to be the reverse of the same sequence. For odd length sequences, the middle letter can be any of the 26.

So, for k even, the number of palindromes is 26^(k/2). For k odd, the number is 26·26^((k-1)/2) = 26^)((k+1)/2).

5 0
3 years ago
Find the Domain and range of each relation. <br> 1. Q= {(3,4), (-4,1), (2,5), (-4,1), (0,0)}
zimovet [89]

Answer:

Step-by-step explanation:

domain is all ur x values.....

domain = { -4,0,2,3}....u only have to write them once if they repeat

range is all ur y values....

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7 0
3 years ago
A 3-pack of beaded necklaces costs $4.47. What is the unit price?
inysia [295]

Answer:

1.49 per necklace

Step-by-step explanation:

there are 3 necklaces sold for 4.47. if we divide the three necklaces by the overall price we get the price per necklace. 4.47 divided by 3 = 1.49

7 0
3 years ago
Read 2 more answers
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rusak2 [61]

Answer:

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Step-by-step explanation:

form the equation given, G=h(t) + p(c)

where G=Gross pay,

            h= hourly wage

            t=time worked

             p=percent tip

             c=cost of customer meals

we determine the gross pay by first determining the independent variables

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if we substitute values, we arrive at

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to determine the per hour gross pay we have

105.5/16

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3 0
3 years ago
What is the solution to this system of equations y=x-2 y=-0.5x+4
gladu [14]

Answer:

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x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

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4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​

​

​​  

​x=4

​y=2

​​  

Step-by-step explanation:

6 0
2 years ago
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