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melisa1 [442]
3 years ago
6

A square is inscribed in a circle. If the area of the square is 9 in2, what is the ratio of the radius of the circle to the side

of the square?
Mathematics
2 answers:
babymother [125]3 years ago
8 0

Answer:

5

Step-by-step explanation:

vlada-n [284]3 years ago
6 0

Regardless of the size of the square, half the diagonal is (√2)/2 times the side of the square.

The ratio is (√2)/2.

_____

Consider a square of side length 1. The Pythagorean theorem tells you the diagonal measure (d) is ...

... d² = 1² +1² = 2

... d = √2

The distance from the center of the square to one of its corners (on the circumscribing circle) is then d/2 = (√2)/2. This is the radius of the circle in which our unit square is inscribed.

Since we're only interested in the ratio of the radius to the side length, using a side length of 1 gets us to that ratio directly.

You might be interested in
1
photoshop1234 [79]

Answer:

Pentagon and I think the area is 19.89 so if you round it, that will be 19.9

6 0
3 years ago
The sum of two numbers is 49 and the difference is 25 . What are the numbers?
OLEGan [10]

Answer:

x = 37 y = 12

Step-by-step explanation:

Let x be one number

Let y = other number

x+y = 49

x-y = 25

Add the equations together

x+y = 49

x-y = 25

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

2x = 74

Divide by 2

2x/2 = 74/2

x =37

x+y = 49

37+y = 49

Subtract 37 from each side

37+y-37 = 49-37

y = 12

4 0
3 years ago
4 divide by8/9 - 1/2
Sever21 [200]

I think 4 divided by 8/9 - 1/2 = 4

6 0
3 years ago
A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.
AnnyKZ [126]

Answer:

Paasche's Index=  168.63= 169

Step-by-step explanation:

<em><u>Products</u></em>

<em><u>Base-Period                                                    Current Period</u></em>

    Quantities    Mean Shipping                    Quantities    Mean Shipping

     (Year 1)         Cost per Unit ($)                  (Year 5)  Cost per Unit ($)

A         1,500         10.50                         4000                 15.90

B         5,000      16.25                            3000                 33.00

C         6,500        12.20                          8000                  18.40

D          2,500      20.00                         3000                   35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product               pn.qn                      po.qn

A                         15.90* 4000         10.50* 4000

                          = 63600                    =42000

B                       33.00*3000           16.25 * 3000  

                           = 99000                    = 48750

C                      18.40* 8000          12.20 *8000

                            =147200                 =97600

D                     35.50* 3000        20.00*3000  

<u>                           =</u><u>106500              60,000   </u><u>       </u>

<u>∑                          416300                  248350       </u>

<u />

Paasche's Index= ∑ pn.qn/∑po.qn= <u> </u>416300/ 248350 *100  =  1.676=1.68= 168.63= 169

<u />

7 0
3 years ago
Please HELP PAST DUE I NEED THE GRADE help!!!
ArbitrLikvidat [17]

Answer:

(A:) I created a scatter plot similar to the one i used for mine, this is for the first part of your question

(B:) Positive Association

Step-by-step explanation:

(B:) Why? Because as your x value increases so does your y and it shows this with the data as well.

I had a tough time with this until i actually read through what it was really asking so i hope this helps you

7 0
3 years ago
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