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vesna_86 [32]
3 years ago
11

If 89 is divisible by 2, then 89 is an even number. Converse: Inverse: Contrapositive:

Mathematics
1 answer:
nadezda [96]3 years ago
3 0
Converse: If 89 is an even number, then 89 is divisible by 2
inverse: if 89 is not divisible by 2, then 89 is not an even number
contrapositive: if 89 is not an even number, then 89 is not divisible by 2.
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A boat heading out to sea starts out at Point A, at a horizontal distance of 639 feet from a lighthouse/the shore. From that poi
Elina [12.6K]

9514 1404 393

Answer:

  1731 ft

Step-by-step explanation:

The tangent relation is useful in this problem.

  Tan = Opposite/Adjacent

The height of the light is found to be ...

  tan(11°) = height/(639 ft)

  height = (639 ft)·tan(11°) . . . . . solve for height

Then the distance from the light to point B is ...

  tan(3°) = height/(B distance)

  B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft

Then the distance from point A to point B is ...

  2370 ft -639 ft = 1731 ft . . . AB distance

4 0
3 years ago
Kayson is looking at two buildings, building A and building B, at an angle of elevation of 40' Building Als 120 feet away, and b
-BARSIC- [3]

Answer:

A. Building A, it is around 100.69 feet taller than building B.

Step-by-step explanation:

Since building A is 120 feet away at and elevation of 40^{0}, then:

Tan 40^{0} = \frac{x}{120}

Where x is the height of the building at the horizontal plane.

x = Tan  40^{0} × 120

   = 100.692 feet

For building B at the same elevation,

Tan  40^{0} = \frac{x}{60}

 x = Tan  40^{0} × 60

    = 50.346 feet

Since the angle of elevation are the same, building A is around 100.69 feet taller than building B.

5 0
3 years ago
Read 2 more answers
Follow the process of completing the square to solve x2 - 10x + 8 = 0.
11111nata11111 [884]
Don’t listen to any link scams
4 0
3 years ago
1.)how many boxes of tissues can you buy with $46.06 if one box costs $6.58?
GenaCL600 [577]
1. It is already given in the question that one box of tissues cost $6.58. Need to find the number of boxes that can be bought with $46.06.
So
$6.58 is required to buy = 1 box
Then
With $46.06 one can buy = (46.06/6.58) boxes
                                         = 7
So with $46.06 a person can buy 7 boxes of tissue paper.
2. In this question it is given that Castle had spent $4.83 for buying a box of envelope. It is required to find the number of boxes of envelope Castle can buy with $38.64
Now
$4.83 is required to buy = 1 box of envelope
then with $38.64 Castle can buy = (38.64/4.83) boxes of envelope
                                                     = 8
So Castle can buy 8 boxes of envelope with $38.64
5 0
3 years ago
Read 2 more answers
Solve the equation 3(x+4.5)=36. If you get stuck, use the diagram.
Stells [14]

Answer:

x=7.5

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x+4.5)=36

Step 1: Simplify both sides of the equation.

3(x+4.5)=36

(3)(x)+(3)(4.5)=36(Distribute)

3x+13.5=36

Step 2: Subtract 13.5 from both sides.

3x+13.5−13.5=36−13.5

3x=22.5

Step 3: Divide both sides by 3.

3x/3=22.5/3

x=7.5

Answer:

x=7.5

6 0
3 years ago
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