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kogti [31]
3 years ago
6

At the farmer's market, there is a scale that measures the weight of fruit and vegetables. The needle is 16cm long, and it rotat

ed 68º when Danielle placed six oranges on it. How far did the needle travel as it rotated?
A. 272π/45
B. 45π/272
C. 1088π
D. 544π
Mathematics
1 answer:
Rasek [7]3 years ago
4 0
\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle\ in\\
\qquad degrees\\
-------\\
r=16\\
\theta =68
\end{cases}\implies s=\cfrac{68\cdot \pi \cdot 16}{180}\implies \cfrac{272\pi }{45}
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If x varies inversely as y and x=16 when y=5, find x when y=20.
Elanso [62]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

The inverse variation means that when y goes up by a factor of 20/5 = 4, the value of x goes down by the same factor.

  x = 16/4

  x = 4

4 0
3 years ago
Given 2x+y=6 perform the necessary operations to put equation into the proper general form.Explain in complete sentences how you
VashaNatasha [74]

Answer:

2x + y -6 = 0

Step-by-step explanation:

The general form is Ax+By + C= 0. It requires that A and B be greater than 1 (not fractions or decimals) and A is positive. This equation is 2x + y = 6 is almost already in the form.  Subtract C to both sides to make it general form. 2x + y - 6 =0. The coefficients of the x and y are greater than 1 and 2 is positive. This meets the requirements.

4 0
3 years ago
If f(x) and 1(x) are inverse functions of each other and f(x) = 2x+5, what is ri(8)?
Yakvenalex [24]

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3/2

Step-by-step explanation:

3 0
3 years ago
Susan is trying to decide between two jobs. One job pays $12 per hour for the first 36 hours and $15 per hour for any additional
nasty-shy [4]

Answer:

For the first question (For which job will she earn more if she works 40 hours a week), the answer is the second job.

For the second question (How much more per year will this be if she works 50 weeks per year), the answer is 25$ extra a year.

First i multiplied $12 times 36.

$12 x 36 = $432

Then i multiplied $15 times 4.

$15 x 4 = $60

Now add those together

$432 + $60 = $492

That's how much she would make in a week for the first job, if she worked 40 hours a week.

For the second job, i did the exact same process.

$11.50 x 35 = $402.5

$18 x 5 = $90

$402.5 + $90 = $492.5

She would get 50 more cents a week, if she worked 40 hours a week.

For the second question, i multiplied the first job total by 50, since she is working 50 weeks a year.

$492 x 50 = $24,600

Thats her total of a year, for the first job.

Do this with the second job.

$492.5 x 50 = $24,625

As you can see, she would get $25 more in the second job, than the first job.

I hope this helped!

7 0
3 years ago
State the domain of the relation (-4,3) (-1,0) (0,-2) (2,1) (4,3)
Novosadov [1.4K]
The domain: {-4; -1; 0; 2; 4}
The range: {-2; 0; 1; 3}
Yes. The relation is a function.

7 0
3 years ago
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