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3 years ago

Giving out 60 points

1 answer:

6 0

If the markers are 4.5 inches away on the map, and 2.5 inches represents 10 miles, then we need to make ratios we can work with.

Inches / Miles:

4.5 / x
2.5 / 10

Now, we can cross multiply to end up with:

2.5 * x = 4.5 * 10

Simplify:

2.5x = 45

Divide 2.5 on each side:

2.5x / 2.5 = 45 / 2.5

Simplify:

x = 45 / 2.5
x = 18

Awesome! Now we have a real ratio on the real distance of the markers.

2.5 : 10 & 4.5 : 18.

18 miles is the actual distance between the two markers.

Hope I could help! If my math is wrong, or it isn't the answer you are looking for, please let me know!
Have a good one!

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3 years ago

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3 years ago

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sergiy2304 [10]

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4 years ago

A ship sailing parallel to shore sights a lighthouse at an angle of 14° from its direction of travel. After traveling 4 miles fa

timama [110]

Answer:

C. 6.19 mi

Step-by-step explanation:

The angle between the two ship locations as viewed from the lighthouse is ...

23° -14° = 9°

This is opposite the known side of the triangle: 4 miles. The unknown side, the distance to the lighthouse from the second position, is opposite the 14° angle in the triangle. The Law of Sines can be used to find the distance (d) of interest:

d/sin(14°) = (4 mi)/sin(9°)

d = (4 mi)(sin(14°)/sin(9°)) ≈ 6.1859 mi

The ship is 6.19 miles from the lighthouse at the second sighting.

4 0

3 years ago

A number cube with faces labeled from 1 to 6 will be rolled once.

tresset_1 [31]

Question:

A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.

Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 2.

If there is more than one element in the set, separate them with commas.

Answer:

$S = \{1,2,3,4,5,6\}$

$Greater2 = \{3,4,5,6\}$

Step-by-step explanation:

Given

A roll of a 6 sided number cube

Solving (a): The sample space

This implies that we list out all number on the number cube.

So:

$S = \{1,2,3,4,5,6\}$

Solving (b): Outcomes greater than 2

This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.

So:

$Greater2 = \{3,4,5,6\}$

3 0

3 years ago