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4 years ago

Which terminating decimal is equivalent to the fraction 5/8?

Mathematics

1 answer:

labwork [276]4 years ago

6 0

Answer:

.625

Step-by-step explanation:

The decimal .625 is equivalent to 5/8 because when you divide .50 by 8 you get .625 and it is terminating because it does not repeat.

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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

14. 3/64 + 2/32 + 5/16 = what is the answer

Anit [1.1K]

Answer:

27/64

Step-by-step explanation:

(7×16)+(5×64)64×16

=112+3201/024

=432/1024

Simplifying 432/1024, the answer is

=27/64

3 0

3 years ago

Read 2 more answers

It takes you 0.8 of a minute to read each page of your health book.It takes you 5.5 minutes to take the test at the end.How long

Nina [5.8K]

So you divide 0.8 by 6.25 and your answer is 7.8125 and then you add 5.5 minutes of your other number and you get the answer of 13.3125

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3 years ago

A construction crew has just finished building a road. The crew worked for 4 2/7 days. If the road is 9 kilometers long, how man

Lana71 [14]

4 2/7 equals 30/7
30/7 divided by 9 equals 10/21
So the crew built 10/21 of a km everyday

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3 years ago

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What is the value of x? 2 3 6 7 Geometry B - 5.0 - Extended – 2

Yanka [14]

Answer:

I think 6.............,..........

3 0

3 years ago