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balandron [24]
3 years ago
5

The area of a circle is found with the formula A = The expression is pi times r squared., where pi represents 3.14. If a tile ar

tist is laying down tiles in a circular mosaic pattern and the area of the circle is 706.5 square feet, what is the radius of the circle in feet?
Mathematics
1 answer:
lana [24]3 years ago
7 0
Okay. The formula for the area of the circle is A = πr². To find the radius, we would first do the steps in reverse. Let's divide the area by pi (3.14) 706.5/3.14 is 225. With that, the square root of 225 is 15, because 15² is 225. There. The radius of the circle is 15 feet.
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Will give 60 points if completed. Please help me!
Lerok [7]

Convert all the numbers to real numbers:

6√3 = 10.3923

(3.5)^2 = 12.25

√75 = 8.660

9.8 = 9.8

57/5 = 11.4

A)  Now order from largest to smallest:

(3.5)^2, 57/5, 6√3, 9.8, √75

B) We found the order by solving the equations to get real numbers.

C)

Since the numbers are multiplied by a negative number, the greatest number would be the smallest number because it would be closer to zero.

The order would be the reverse of part A:

x√75, 9.8x,  6x√3, 57x/5, x(3.5)^2

D) I replaced x with -1 and calculated for real numbers. All the values were the same as A except they were the negative value.

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4 years ago
Emmitt Smith held the record for yards gained in a football career when he retired. He gained a total of 18,355 yards. 
Gwar [14]
Emmett's total yards rounded to the nearest thousand is 18,000 yards.
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3 years ago
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A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th
Softa [21]

<u>Answer-</u>

\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So f(0)=150

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

\Rightarrow f(1)=0.8(150)+10

\Rightarrow f(1)=0.8(f(0))+10     (\because f(0)=150)

Again after one month total number of laptops in the store,

\Rightarrow f(2)=0.8\times (0.8(150)+10)+10

\Rightarrow f(2)=0.8(f(1))+10     (\because f(1)=0.8(150)+10)

Analyzing the pattern, the recursive function f(n) will be,

f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0


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