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sweet [91]
4 years ago
14

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

Mathematics
1 answer:
guajiro [1.7K]4 years ago
7 0

Answer:

<em>Length of x ⇒ ( About ) 11.5; Option C</em>

Step-by-step explanation:

<em>~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~</em>

1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.

2. By Pythagorean Theorem ⇒

6.2^2 + x^2 = 13.1^2,

38.44 + x^2 = 171.61,

x^2 = 133.17

<em>Length of x ⇒ ( About ) 11.5</em>

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Compute the sales tax for the prices and rates given below. Price Tax Rate Tax $299 4% $6,750 7% $76.50 5.2% $18.32 3.9% $5.95 6
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Answers:

Price        Tax Rate        Tax

$299         4%                 $11.96

$6,750      7%                 $472.5

$76.50      5.2%              $3.98

$18.32       3.9%              $0.71

$5.95        6.2%              $0.37

$13.89       4.3%              $0.60

$768.43    3.7%              $28.43

$6.49        5.8%              $0.38

$23.86      7.1%               $1.69

$12.98      3.9%              $0.51


Explanation;


Sales tax is computed as the product of the price times the tax rate in % divided by 100:


  • Sales tax = price × tax rate / 100

Here is each compute:


  • $299 × 4% = $299 × 4/100 = $11.96
  • $6,750 × 7% = $6,750 × 7/100 = $ 472.50
  • $76.50 × 5.2% = $76.50 × 5.2/100 =  $3.98
  • $18.32 × 3.9% = $18.32 × 3.9/100 = $0.71
  • $5.95 × 6.2% = $5.95 × 6.2/100 = $0.37
  • $13.89 × 4.3% = $13.89 × 4.3/100 = $0.60
  • $768.43 × 3.7% = $768.43 × 3.7/100 = $28.43
  • $6.49 × 5.8% = $6.49 × 5.8/100 = $0.38
  • $23.86 × 7.1% = $23.86 × 7.1/100 = $1.69
  • $12.98 × 3.9% = $0.51

8 0
3 years ago
75,575 how do the values of the digit differ in the number?
Vsevolod [243]

Answer:

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75,5<u>7</u>5 - tens place; this 7 is worth 70

75,57<u>5</u> - ones place; this 5 is worth 5



8 0
3 years ago
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