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natta225 [31]
4 years ago
8

A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest

hundredth foot.) 8.86 feet. 8.87 feet. 8.88 feet. 8.89 feet.
Mathematics
1 answer:
Degger [83]4 years ago
3 0

Answer:

  8.89 feet

Step-by-step explanation:

The square of the side length is 79 ft², so the side length is the square root of that:

  √(79 ft²) ≈ 8.88819 ft ≈ 8.89 ft

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Factorise:<br> 8 x 3 + 729 +10800² + 486X.
hjlf

Answer:

(2x+9)  ^3

Step-by-step explanation:

 (((8 • (x3)) +  729) +  (22•33x2)) +  486x

 ((23x3 +  729) +  (22•33x2)) +  486x

Factoring:  8x3+108x2+486x+729  

 8x3+108x2+486x+729  is a perfect cube which means it is the cube of another polynomial  

 In our case, the cubic root of  8x3+108x2+486x+729  is  2x+9  

 Factorization is  (2x+9)3

Hope this helped

8 0
3 years ago
Read 2 more answers
Solve the inequality. -8c - 9 &lt; -17​
olya-2409 [2.1K]

Answer:

it would be c >1

i hope this helps

6 0
3 years ago
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The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)
saw5 [17]

Answer: $19.6

Step-by-step explanation:

Linear function: f(x)=mx+c

, where  m= rate of change in f(x) with respect to x.

c = Initial value.

Let c = Initial value of card , m= Charge per minute

x= Number of minutes calling time.

Then, 25.06= 38m+c   (i)

21.03=69m+c (ii)

Eliminate (ii) from (i)

4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13

Put m in (i) , we get

25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30

i.e. f(x)=-0.13x+30

if x=80 then

f(80)= -0.13(80)+30

=-10.4+30

=19.6

Hence, the remaining credit after 80 minutes of calls = $19.6

7 0
3 years ago
Rex mixed x liters of fruit syrup with y liters of water to make a fruit punch. Three times the number of liters of water he mix
irga5000 [103]
3y = 2x + 6
x + y = 7

y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x

x + y = 7
3 + y = 7
y = 7 - 3
y = 4

Solution is (3,4)

6 0
3 years ago
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How are the place value positions to either side of a particular number related
vazorg [7]
<span>The place value positions to either side of a number are related because they are 10 times smaller or ten times bigger — a number in the hundreds column in ten times bigger than the same number in the tens column, for example.</span>
7 0
3 years ago
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