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3 years ago

11

Find the number that makes the ratio equivalent 1:3 9:_

1 answer:

dimaraw [331]3 years ago

3 0

Answer:

27

Step-by-step explanation:

If the ratio is 1:3 multiply that by 9:9 so you effectively get 9:9x3 = 9:27. Or, you can say to yourself if B (3) is 3 times greater than A (1) then B is 3 times greater than 9. So 9x3 = 27

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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

What would be the best way to select an unbiased population sample for the following topic: How do people get to

RoseWind [281]

Randomly survey 20 people

7 0

3 years ago

Evaluate 1/2m - 2/3n when m = 3 and n = 8.

Anika [276]

Answer:

1/2(3)-2/3(8)

3/2-9/3

<u>3</u>-<u>9</u>

2.3

<u>9</u><u>-</u><u>3</u><u>2</u>

6

<u>-23</u>

6

7 0

3 years ago

Can someone please help me find the measure of the exterior angle.

dimulka [17.4K]

Answer:

k = 140°

Step-by-step explanation:

The sum of the interior angles of any triangle = 180°.

64° + 76° + x = 180°

x = 40°

40° + k = 180° because they are supplementary angles

k = 140°

8 0

3 years ago

Read 2 more answers

The sum of the measures of the two angles of a linear pair must be...?

Rina8888 [55]

The answer is 180 degrees

5 0

3 years ago