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garri49 [273]
2 years ago
14

Please help me with this

Mathematics
1 answer:
DIA [1.3K]2 years ago
4 0

Answer:

  65.9 ft

Step-by-step explanation:

The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.

__

<h3>third angle</h3>

The sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...

  angle C = 180° -75° -60° = 45°

<h3>ground distance</h3>

Then the distance between Amaya and Rochelle (c) is ...

  c/sin(C) = r/sin(R)

  c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)

  c ≈ 65.8846

Amaya and Rochelle are about 65.9 feet apart.

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Quadrilateral PQRS is transformed by translating it 6 units to the right and then rotating it 90° clockwise
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Answer:

(y, -x -6)

Step-by-step explanation:

<em>The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)</em>

<em />

The first transformation: 6 units right

(x,y) -> (x + b, y)

Where b = 6

So, the new coordinates will be

(x + 6, y)

The second transformation: 90° clockwise

(x,y) -> (y,-x)

So, the new coordinates will be

(x + 6, y)-> (y, -x -6)

<em>Hence, the new coordinates of PQRS is (y, -x - 6)</em>

7 0
3 years ago
Ise. The
madam [21]

Answer:

Step-by-step explanation:

The inside of a refrigerator is 17 x 18 x 42 inch, to calculate the samples that would fit in the refrigerator is calculating the volume which is length x breadth x height

You can opt to calculate the volume in inch ^3 or cm^3

Both will be discussed here

In inch^3

Volume= 17 × 18 × 42 = 306 x 42= 12852in ^3

In cm^3

Convert inch to cm

I inch is 2.54cm

17 inch = 43.18cm

18 inch = 45.72cm

42 inch = 106.68cm

Volume = 43.18 × 45.72 × 106.68 = 210606.546528cm^3

210606.55cm^3 approximately

6 0
4 years ago
Find the following percentages of 60Find 0% of 60: Find 100% of 60: Find 50% of 60: Find 25% of 60: Find 75% of 60:
ryzh [129]
0% of 60 is 0
100% of 60 is 60
50% of 60 is 30
25% of 60 is 15
75% of 60 is 45
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2 years ago
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Does anyone know the answer to this question.....0.5x + 1.75 = 10
marysya [2.9K]

Answer:

x = 16.5

Step-by-step explanation:

0.5x + 1.75 = 10

Subtract 1.75 from both sides:

0.5x = 8.25

Divide both sides by 0.5

x = 16.5

Check your work!

0.5(16.5) + 1.75 = 10

8.25 + 1.75 = 10

10 = 10

x = 16.5

3 0
3 years ago
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