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Radda [10]
3 years ago
14

Kathy is a scientist who is working in a remote part of Australia. She earns a salary of $86 840 plus a weekly allowance of $124

.80 for working under extreme and isolated conditions. Calculate Kathy’s fortnightly pay.
Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer:

$3589.60

Step-by-step explanation:

Salary per fortnight {52 weeks in a year; 2 weeks in a fortnight}

= 86840 / 52 × 2

= 3340

Allowance per fortnight = 124.80 × 2 = 249.60

Therefore, total fortnightly pay is:

3340 + 249.60 = 3589.60

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The diameter of a circle is 23 inches and the circle has two chords of length 14 inches what is the distance from each chord to
Svetradugi [14.3K]

Answer:

9.12 + 9.12 = 18.24 inches

Step-by-step explanation:

Diameter = 23 inches (given)

Radius = 11.5 inches

2 Chords of length = 14 inches ( You didn't specify if the 14 inches is for both chords or for a single cord. I'll assume it's for two cords 14 and 14inches apart.

To clearly solve this, we'll make some mild assumptions.

Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"

Therefore:

x^2 + 7^2 = 11.5 ^ 2

x^2 + 49 = 132.25

x^2 = 132.25 - 49

x^2 = 83.25

x = √ 83.25

x = 9.12 inches

Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)

y^2 + 7^2 = 11.5 ^ 2

y^2 + 49 = 132.25

y^2 = 132.25 - 49

y^2 = 83.25

y = √ 83.25

y = 9.12 inches

Therefore, the distance will be :

9.12 + 9.12 = 18.24 inches

Have fun!

6 0
4 years ago
What the next step is
miv72 [106K]
Number 1 is correct.
7 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through the points (-1, -2) and (2.4)
Lelu [443]

Answer:

As eq of line passing through 2 points is

y-y1 = (y2-y1)/(x2-x1) ][ x -x1)

where (X1,y1)( x2, y2) denotes points lying on line

substitute (X1 ,y1) by( -1,-2) and (X2,y2) by( 2,4)

y+2 = 6/3 )( x+1)

y+2= 2x +2

y = 2x is required equation

3 0
4 years ago
What is the length of the hypotenuse, x, if (20,21,x) is a Pythagorean triple?
Sophie [7]

Answer:

<h2>29</h2>

Step-by-step explanation:

(20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29

6 0
3 years ago
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Hurry please!!!Assuming that each worker used the standard deduction and that none of the workers had any additional adjustments
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Answer:

Frank

Step-by-step explanation:

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