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Lena [83]
3 years ago
12

If the length of AO is three time the length of CO, THE LENGTH OF DC is ...

Mathematics
1 answer:
butalik [34]3 years ago
8 0
The answer is D one third of AB.
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12.21 is 3.7 times the number p.
ASHA 777 [7]
P3.7 = 12.21 (p × 3.7 = 12.21)

p÷3.7 = 12.21÷3.7 (p÷3.7 cancels out p×3.7 and leaves you left with the equation p = 12.21÷3.7)

p=3.3 
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About 16 copies cost the same amounts
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There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of
Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
Write as a product:<br> a2+b2–2ab –25
kozerog [31]

Answer:  -a2 - 2ab - b2 + 25  =

 -1 • (a2 + 2ab + b2 - 25)

Final result :

 -a2 - 2ab - b2 + 25

Step-by-step explanation:

3 0
3 years ago
Charlotte is running at a race of 9 km/h.<br><br> What is Charlotte’s speed in m/s?
Novay_Z [31]

Answer:

9,000

Step-by-step explanation:

1 km=1,000

9*1,000=9,000

7 0
4 years ago
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