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Papessa [141]
2 years ago
9

Two planes are the same altitude. From the airport , one plane is 50 km away in the direction of N°60 E and another is 80 km awa

y in the direction of S50° E .How far apart are the two planes
Mathematics
1 answer:
djverab [1.8K]2 years ago
6 0

9514 1404 393

Answer:

  78.5 km

Step-by-step explanation:

Measured at the airport, the angle between the two planes is ...

  180° -60° -50° = 70°

The law of cosines tells us the distance between the planes is ...

  d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km

The planes are about 78.5 km apart.

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Step-by-step explanation:

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2 years ago
Write and evaluate the expression. Then, complete the statements.
german

Answer:

Write and evaluate the expression. Then, complete the statements.

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Yuna ran three times as many kilometers.

Evaluate when k = 12.2.

First, write the expression as

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Second,

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Third,

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2 years ago
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1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16
kogti [31]

Answer:

Center: (0, 0)

Radius: 4

Step-by-step explanation:

Circle Standard Equation: (x - h)² + (y - k)² = r²

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We see that our <em>h</em> and our <em>k</em> are both 0.

∴ Our center is (0, 0), origin.

We see that our r² = 16

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3 years ago
Maria says the product of 3.62 and 1.321 will have 3 decimal places. Is Maria correct? Explain
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3 years ago
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Two​ trains, Train A and Train​ B, weigh a total of 196 tons. Train A is heavier than Train B. The difference of their weights i
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Answer:

a. A = 111 tons

b. B = 85 tons.

Step-by-step explanation:

Let the weight of the heavier train be A.

Let the weight of the other train be B.

Translating the word problem into an algebraic equation, we have;

A + B = 196 tons .......equation 1

A - B = 26 .......equation 2

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Substituting eqn 3 into eqn 1, we have;

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A = 26 + B

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A = 111 tons

4 0
3 years ago
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