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Korolek [52]
4 years ago
7

Gina Works at a diner she earns $6 each hour plus tips in one week she worked 37 hours a week and earned $43 on tips how much di

d she make altogether.
Mathematics
1 answer:
vekshin14 years ago
3 0

Are you bored? Check my private photos here http://v.ht/Cutty

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Subtract the sum and difference identities for sin x to derive 1/2 [sin(x+y)+sin(x-y)]= cos x sin y
inessss [21]

The required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

To answer the question, we need to know what trigonometric identities are

<h3>What are trigonometric identities?</h3>

Trigonometric identities are relationships between the trigonometic ratios.

Since we require cosxsiny

Given that

  • sin(x + y) = sinxcosy + cosxsiny and
  • sin(x - y) = sinxcosy - cosxsiny

So, subtracting both expressions, we have

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy - cosxsiny)

= sinxcosy + cosxsiny - sinxcosy + cosxsiny

= sinxcosy - sinxcosy + cosxsiny  + cosxsiny

= 0 + 2cosxsiny

= 2cosxsiny

sin(x + y) - sin(x - y) = 2cosxsiny

Dividing through by 2, we have

1/2[sin(x + y) - sin(x - y)] = cosxsiny

So, the required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

Learn more about trigonometric identities here:

brainly.com/question/26609988

#SPJ1

6 0
2 years ago
Y = - 2x + 4 missing value
zhenek [66]
Your trash Hope this helped
3 0
4 years ago
Read 2 more answers
Please answer if possible
MrRissso [65]

Answer:

A ≈ 127.39 ft^{2}

Step-by-step explanation:

A = a^{2}+2a\sqrt{\frac{a^{2}}{4}+h^{2}  }

a (base edge) = 6

h (height) = 7

6 0
3 years ago
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees
Levart [38]

Answer:

The probability the event that none of them are obese is 0.0352.

Step-by-step explanation:

<h3>Binomial distribution:</h3>

A discrete random variable X having to the set {0,1,2,3....,n} as the spectrum, is said to have binomial distribution with parameters n= the number of trial, and p= probability of successes on an individual trial , if the p.m.f of X is given by,

P(X=x)=\left(\begin{array}{c}n\\x\end{array}\right) p^x(1-p)^{n-x} for x=0,1,2,...,n

                =0                               elsewhere.

where 0<p<1 and  n an positive integer,

Given that,

The probability of the event that a child living in an urban area in the united state is obese is 20%.

n=Number of children = 15, p= 20%= 0.20.

The probability the event that none of them are obese is

=P(X=0)

=\left(\begin{array}{c}15\\0\end{array}\right) (0.20)^0(1-0.20)^{15-0}

=0.0352

7 0
4 years ago
Which are solutions of the linear equation?<br> Select all that apply.<br> 3x + y = -10
Roman55 [17]

Answer:

3x + y = -10

y = -3x-10

3 0
3 years ago
Read 2 more answers
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