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Anettt [7]
2 years ago
8

A nick on the edge of a CD rotates to (−6, 5) during one song when represented graphically.

Mathematics
2 answers:
Allisa [31]2 years ago
6 0
By definition, the sine of an angle is given by:
 sin \alpha =  \frac{C.O}{h}
 Where,
 C.O: opposite leg
 h: hypotenuse
 The hypotenuse is given by:
 h =  \sqrt{(-6)^2+(5)^2}
 h =  \sqrt{(61}
 So, replacing values we have:
 sin \alpha = \frac{5}{\sqrt{61}}
 Rewriting we have:
 sin \alpha = \frac{5\sqrt{61}}{61}
 Answer:
 
the sine value of this function is:
 
A)5 times square root 61 over 61
anygoal [31]2 years ago
6 0
"5 times square root 61 over 61" is the one among the following choices given in the question that <span>is the sine value of this function. The correct option among all the options that are given in the question is the first option or option "A".  hope that this is the answer that has come to your great help.</span>
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You have $18 to spend on oranges and grapes. Graph the equation 1.5x+2y=181.5x+2y=18, where xx is the number of pounds of orange
julia-pushkina [17]
The answer is nine pounds of grapes.
X=0
Y=9

7 0
2 years ago
Read 2 more answers
Students who party before an exam are twice as likely to fail as those who don't party (and presumably study). If 20% of the stu
True [87]

Answer:

The fraction of the students who failed to went partying = \frac{1}{10}

Step-by-step explanation:

Let total number of students = 100

No. of students partied are twice the no. of students who not partied.

⇒ No. of students partied = 2 × the no. of students who are not partied

No. of students partied before the exam = 20 % of total students

⇒ No. of students partied before the exam = \frac{20}{100} × 100

⇒ No. of students partied before the exam =  20

No. of students who not partied before the exam = \frac{20}{2} = 10

Thus the fraction of the students who failed to went partying = \frac{10}{100} = \frac{1}{10}

8 0
2 years ago
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
CaHeK987 [17]

Answer:

Her expenses are $25 per week.

Step-by-step explanation:

Given :Jessica earns a commission on each sale but has to pay for her own expenses.

She writes the equation of the function like this: E(x) = 7x - 25, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

To Find: Which of the following are reasonable interpretations of the y-intercept of Jessica's function?

Solution:

E(x) = 7x - 25

x is the number of doors she knocks on during the week

E(x) is her earnings for the week in dollars.

Calculate y intercept

Substitute x = 0

y= - 25

Since E(x) is her total earning after clearing the payment of all her expenses.

So, 25 is her expenses per week.

Since we are given that she need to pay her expenses .

So, if there is no sale , still she need to pay expenses.

Thus the reasonable interpretations of the y-intercept of Jessica's function is Her expenses are $25 per week.

4 0
2 years ago
Read 2 more answers
Mixing two kinds of candy the price of which was $2 and $4 per pound, Ella got a 10-lb mix of candy, which cost $2.90 per pound.
topjm [15]
1. You have the following information given in the problem above:

 - Ella mixed<span> two kinds of candy the price of which was $2 and $4 per pound.
 - Ella got a 10-lb mix of candy, which cost $2.90 per pound. 
</span>
 2. Therefore, let's call:

 x: pounds of the first kind of candy.
 y: pounds of the second kind of candy.

 3. Then, you have:

 2x+4(10-x)=(2.90)(10)

 4. When you clear x, you obtain:

 2x+40-4x=29
 -2x=29-40
 x=-11/-2
 x=5.5 pounds

 x+y=10
 y=10-x
 y=10-5.5
 y=4.5 pounds
8 0
2 years ago
Lawrence has two part-time jobs one at the movie theater and wanted a pet store he's paid by the hour at each job last week he w
alexandr402 [8]
Let x be the earnings/hour at the movie theater.
      y be the earnings/hour at the pet store

Systems of equations:

$152.50 = 10x + 8y
$171 = 8x + 10y

Solving for x and y:
x = $4.36/ hour in the movie theater
y = $13.61/ hour in the pet store.<span />
8 0
2 years ago
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