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4 years ago

The city of St. louis is making a billboard sign for visitors to see as they enter the city

Mathematics

1 answer:

beks73 [17]4 years ago

4 0

Answer:

Step-by-step explanation:

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An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.

andrezito [222]

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

3 0

4 years ago

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Which graph represents the linar function y=1/3x-4?

spin [16.1K]

Answer:

(0,-4)

Step-by-step explanation:

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3 years ago

Why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2?

melisa1 [442]

Because 1/2 of 6 =1/3 and 1/2×1/3=1/6

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3 years ago

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What is always true about vertical lines

natta225 [31]

Answer:

Vertical lines have undefined (or no) slope always, so this is a true statement. To see why, look at a horizontal line (which is perpendicular). They have zero slope. That comes from the y = mx + b slope intercept form and their equation being y = b, and b is some number.

Step-by-step explanation:

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3 years ago

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Midsegment of triangle <br> Find X

Charra [1.4K]

Answer:

$10 = x$

Step-by-step explanation:

This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of $4x + 20$ and set that expression equal to the midsegment:

2x + 10 = 3x

-2x - 2x

____________

$10 = x$

You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.

I am joyous to assist you anytime.

4 0

3 years ago