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Vedmedyk [2.9K]
3 years ago
9

HELP PLEASE!!!! Solve for x. Round your answer to the nearest tenth.

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0
Perpendicular from the center to the chord, bisects it!
DE = DF/2 = 12
To find R, use Pyth Th in triangle AOB. ( AB = 10)
10^2 + 14^2 = R^2
100+ 196 = 296 = R^2
In triangle DOE 
x^2 + 12^2 = 296
x^2 = 296-144 = 152
x = √152
x = 12.3



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The area of a football field is 57,600 square feet. If the width of the field is 4/9 the length, what is the length of the footb
MrRissso [65]

Answer:

360 ft

Step-by-step explanation:

<h3>Given</h3>
  • Area = 57600 ft²
  • Length = x
  • Width = 4/9x
<h3>Solution</h3>
  • A = lw
  • x*4/9x = 57600
  • 4/9x²= 57600
  • x² = 57600*9/4
  • x² = 129600
  • x = √129600
  • x = 360 ft
8 0
3 years ago
What is the product of 2x + y and 5x – y + 3?
Radda [10]

Answer:

The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y

Step-by-step explanation:

The product of the two expressions can be expressed mathematically as;

(2x +y) (5x -y +3)

To obtain the product of these expressions, we simply expand the brackets as follows;

2x(5x -y +3) + y(5x -y +3)

= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y

= 10x^2- 2xy + 5xy + 6x - y^2 + 3y

= 10x^2+ 3xy + 6x - y^2 + 3y

The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y

5 0
3 years ago
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Tcecarenko [31]
The x in your equation is 16/5 or 3 1/5 or 3.2 if you want it simplified 
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5 Vera is a shop manager. 5 She has this information about the income in her shop for eight weeks this year. Week 1 2. 3 4 5 6 7
Alex

Using the median concept, it is found that it suffered a 11.16% decrease.

<h3>What is the median of a data-set?</h3>

It is the 50th percentile of the data-set, which is the value that separates the lower 50% from the upper 50%.

In this problem, the ordered data-set, in thousands of £, is given by:

{19.4, 39.8, 42.3, 42.5, 45.1, 47.9, 52.4, 53.5}

It has even cardinality, hence the median is the mean of the 8/2 = 4th and 5th terms, so:

M = (42.5 + 45.1)/2 = £43800.

It decreased from £49300 last year. The percentage decrease is the change divided by initial amount and multiplied by 100%, hence:

P = (49300 - 43800)/49300 x 100% = 11.16%.

More can be learned about the median concept at brainly.com/question/25215461

5 0
2 years ago
On a coordinate plane, DEF has vertices D(1,2), E(7,2)and F(1,9). What is the distance between point E and F?
notka56 [123]

Step-by-step explanation:

Using distance formula,

Let the distance between point E and F = ef,

ef  =  \sqrt{{(7 - 1)}^{2}  +  {(2 - 9)}^{2} }  \\ ef =  \sqrt{85}  \\  = 9.219544457

8 0
2 years ago
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