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Rzqust [24]
3 years ago
14

The circumferences of two circles are in the ratio of 2:5. The radius of the smaller circle is 16 in. What is the radius of the

larger circle?
Mathematics
1 answer:
Deffense [45]3 years ago
5 0
The radius of the larger circle is 40 inches.

Get first the circumference of the smaller circle.
C = 2πr; Where π = pi; r = radius
    = 2(3.14)(16)
C = 100.48

Now get the circumference of the bigger circle using ratio:
   2/5 = 100.48/C
   2C = 502.4
2C/2 = 502.4/2
     C = 251.2

Using the circumference, compute for the radius of the larger circle:
r = C/2π; Where C = circumference; π = pi
  = 251.2/2(3.14)
  = 251.2/6.28
r = 40

To check:
      C = 2(3.14)(40)
251.2 = (6.28)(40)
251.2 = 251.2
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Please help
Ymorist [56]

Part C:

y = total cost

M = minutes


You can talk on the phone only 100 minutes per month

Company A:

y = 0.04M + 5

y = 0.04(100) + 5

y = 4 + 5

y = 9             $9 per month


Company B:

y = 0.10M + 2

y = 0.10(100) + 2

y = 10 + 2

y = 12          $12 per month


Company A offers the best deal because at Company A you have to pay $9 for 100 minutes per month, and at Company B you have to pay $12 for 100 minutes per month, so you have to pay $3 less.


Part D:

1.) With a budget of $30, Company A would allow me to talk longer on the phone. I know this because for Company A, you pay $3 less per month for the same amount of minutes as Company B. This means that I will save more money with Company A, and I can buy more minutes. (something like this)


6 0
3 years ago
Help with this task it's confusing can u explain how you got the answer
Andru [333]
Oh my goodness !  You were doing such an absolutely beautiful job,
as far as you went, but then you ran into some rough road and quit.

You've got the correct expressions for the ages of the three people:

-- Will . . . w
-- Ben . . . w+3
-- Jan . . . 2(w+3)
You slipped up when you expanded Jan's age:  2(w+3) = <u>2w + 6</u> ,
and it was all down hill from there.

Let's do it again, together:

-- Will . . . w
-- Ben . . . w + 3
-- Jan . . . 2w + 6

Total:  (w + w + 2w) + (3 + 6) = 4w + 9

So the equation is:    <em><u>4w + 9 = 41</u></em>
Now you're supposed to solve it.

Subtract 9 from each side:   4w  =  32

Divide each side by 4:        <u>w = 8</u>

-- Will = w . . . . . 8 y.o.
-- Ben = w+3 . . . 11 y.o.
-- Jan = 2(w+3) . . 22 y.o.

When will Jan be twice as old as Will ?
That'll happen in 'x' years.
At that time, Will will be (8+x) and Jan will be (22+x),
and her age will be double Will's age.

22 + x  =  2(8 + x)

22 + x  =  16 + 2x

Subtract 'x' from each side:    22  =  16 + x

Subtract  16  from each side:  <em>  6 = x</em>

<u>Check:</u>

In 6 years, Jan will be (22+6) = 28,
and Will will be (8+6) = 14 .

28 = twice as old as 14.      yay!

Can I make a little suggestion ?
I'm going to make it anyway:

Your problem was neatness.
You were doing great work in that big open space on the sheet, but it
started to get ragged.  When you tried to look back to see if you made
a mistake, you couldn't find it in the mess.
This is not an easy problem, but you definitely know your stuff. 
I think if you keep it a little neater, you're going to sparkle !
7 0
3 years ago
The cube of the sum of 3 and k​
denis23 [38]
3k^3 should be the answer.
7 0
2 years ago
Answer ASPA! PLEASE
qwelly [4]

Answer:

Step-by-step explanation:

The correct answer is C. not skewed

They are equal on both sides.

7 0
3 years ago
PLEASE HELP! I'm struggling on questions like this one. If you can please help on other questions but that's up to you! I will g
Setler79 [48]

Answer:

y=3/2x+3

Step-by-step explanation:

the line hits the y-axis at 3 so b=3 and the change in y is up 3 and the change in x is to the right 2 so the change in y over the change in x is 3/2

7 0
3 years ago
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