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solmaris [256]
3 years ago
14

Explain how the tangents of complementary angles are related.

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Answer:

  tan(α) = 1/tan(90°-α)

Step-by-step explanation:

The tangent of one is the reciprocal of the tangent of the other.

__

In a right triangle, ...

  tan = opposite/adjacent

For the two complementary acute angles in such a triangle, opposite and adjacent are swapped. That is the tangent of one is the inverse of the tangent of the other. (That inverse is also known as the cotangent.)

  tan(α) = cot(90°-α) = 1/tan(90°-α)

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Answer:

12.50x less than or equal to $200

Step-by-step explanation:

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3 years ago
Liability that arises from not maintaining a building is referred to as a) medical foundation liability. b) premises liability.
Sauron [17]

Answer:

opt. B

Step-by-step explanation:

8 0
3 years ago
Identify the perimeter and area of a square with diagonal length 11in. Give your answer in simplest radical form. HELP PLEASE!!
Nataliya [291]

Answer:

  • Perimeter = 22*sqrt(2)
  • Area = 60.5 inches
  • D

Step-by-step explanation:

Remark

You need 2 facts.

  1. A square has 4 equal sides.
  2. It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.

That means you can use the Pythagorean Theorem.

If one side of a square is a then the 1 after it is a as well.

Formula

  • a^2 + a^2 = c^2
  • 2a^2 = c^2

Givens

  • c = 11

Solution

  • 2a^2 = 11^2
  • 2a^2 = 121                    Divide by 2
  • a^2 = 121/2                  Take the square root of both sides
  • sqrt(a^2) = sqr(121/2)    
  • a = 11/sqrt(2)                Rationalize the denominator
  • a = 11 * sqrt(2)/[sqrt(2) * sqrt(2)]
  • a = 11 * sqrt(2) / 2

<em><u>Perimeter</u></em>

P = 4s

  • P = 4*11*sqrt(2)/2
  • P = 44*sqrt(2)/2
  • P = 22*sqrt(2)

You don't need the area. The answer is D

<em><u>Area</u></em>

  • Area = s^2
  • Area = (11*sqrt(2)/2 ) ^2
  • Area = 121 * 2 / 4
  • Area = 60.5


8 0
3 years ago
Amino Buys A Book For Rupees 275 And Sells It At A Loss Of 15% How Much Does She Sell It For
Kruka [31]

Answer:

$233.75

Step-by-step explanation:

2.75 x 15 = 41.25

275 - 41.25 = $233.75

7 0
2 years ago
Read 2 more answers
Give the slope intercept form of the equation of the line that is perpendicular to 5x-3y=8
Stels [109]
Hello : 
let the slope : a    and ; b the slope of the line : 5x - 3y = 8
<span>the line that is perpendicular to 5x-3y=8  so : a×b = - 1 
but : 
5x - 3y = 8...      y = (5/3)x - 8/3  when : b = 5/3
</span><span> the slope intercept form of the equation of the line that is perpendicular
 to 5x-3y=8 is : y = (5/3)x +c </span>
5 0
3 years ago
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