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Sholpan [36]
2 years ago
5

4. What is the circumference of a circle whose area is 81π cm squared?

Mathematics
2 answers:
vichka [17]2 years ago
7 0
Area = pi*r^2
Circumference = 2pi*r

Step 1: find the radius from area
81pi=pi*r^2
81=r^2
9=r

Step 2: plug in radius to the circumference equation

Circumference = 2pi*r

18pi is the answer, otherwise know as 56.52 as well.
pogonyaev2 years ago
3 0

Step-by-step explanation:

Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr

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Allison is offered an annual salary of $24,500. What would be her biweekly gross pay? (Round to the nearest cent.) A. $2,041.67
bixtya [17]

Answer:

Option (B) is correct.

Allison biweekly gross pay is $942.31

Step-by-step explanation:

Given annual salary offered to Allison  = $24,500.

We have to calculate Allison biweekly pay that is pay Allison got for 2 weeks

To calculate biweekly we first find Allison weekly pay then multiply it by 2.

We know there are 52 weeks in a year.

So, weekly salary offered to Allison =\frac{24500}{52}=471.15(approx)

Biweekly salary will be = 2 × weekly salary

                                      = 2  × 471.15

                                       = 942.307(approx)

Thus, Allison biweekly gross pay is $942.31




6 0
3 years ago
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Find the slope of the line passing through the points (-6-9) and (9,-9)
Otrada [13]

9514 1404 393

Answer:

  • zero
  • undefined

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

__

<u>First line</u>:

  m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0

The slope of the first line is zero.

__

<u>Second line</u>:

  m = (-5-1)/(4 -4) = -6/0 = undefined

The slope of the second line is undefined.

_____

It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.

Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.

8 0
2 years ago
“I really feel like it’s time for me to get a credit card. I learned how important
Gennadij [26K]

The first misconception is that the balance shouldn't be paid off in full in order to boost the credit score. This is simply not true. You can pay off all of the balance and it will actually improve the score. The score reflects the ability to pay borrowed money back. A credit card is basically a micro-loan of sorts. So if George pays off the balance, he's paying back the credit card company and that tells the company (and others) that his ability to pay is good. Plus it tells about his priorities which is what the credit score indirectly indicates. Other companies will see that George can pay the money back, so they'll be more eager to lend to him.

The other misconception is that being late is fine and improving the payment habits is what brings up the score. This is murky gray area and somewhat true but also somewhat false. What happens is that if you are late then your score goes down by some amount. When you improve the payment habits, the score goes back up. Whether it goes back to the original value or larger depends on the situation. So the second claim George makes is technically true, but there's broader context to consider. It's similar to how if you shoot yourself in the foot in some videogame, and then let your foot heal up, then you're increasing health points. The first act shouldn't have needed to happen and it reflects a weird backwards thinking. If anything, it wastes time where George could have simply been improving the score (rather than decrease it only to increase it back).

The reality is that keeping up with the payments in a timely fashion is what keeps the credit score healthy. Once again, the score reflects someone's ability to pay back borrowed money. It applies to any kind of loan, which a credit card is a part of.

-----------------

In short, George is mistaken by two claims he makes

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When in reality keeping up with payments and paying off the balance will improve the credit score. There's no need to hinder oneself on purpose in the goal of improving from that contrived setback.

Side note: the credit card company wants you to carry a balance so they can charge interest on said balance. That's how they make most of their money. However, even if you go against the wishes of the credit card company, they won't ding you credit score points for paying off the balance in full.

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Answer:

7 remainder 42

Step-by-step explanation:

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