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olganol [36]
2 years ago
7

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.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude. A. 894 miles B. 1,058 miles C. 646 miles D. 1,251 miles
Mathematics
2 answers:
NeX [460]2 years ago
7 0

Answer:

1058

Step-by-step explanation:

Plato

nekit [7.7K]2 years ago
6 0

Answer:

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

Step-by-step explanation:

Use Law of cosines  

d = √(800^2 + 1200^2 - 2·800·1200·COS(60°)) = 1058 miles

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3 years ago
The temperature in Newcastle in winter on a specific day 8°c. By midnight the temperature had dropped to by 12°c . Determine the
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Answer:

-4 degrees c

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, 8-12=-4

So the answer is -4 degrees c

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4 0
3 years ago
QUESTION 4 (10 MARKS)
77julia77 [94]

Answer:

A. $22,223

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C. $20,000

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C. . If they go for Junk bonds option which has a yield of 13%, to attain annual return of at least $2,000; 13% of $20,000= $2,600

3 0
3 years ago
A railroad track rises 30 feet for every 400 feet of track. What is the measure of the angle of elevation of the track?
gtnhenbr [62]

Answer:

Step-by-step explanation:

Rising 30 feet for every 400 feet of track is not a very large angle of elevation.  We set this up as a right triangle to use right triangle trig to solve for the missing angle.  The height is 30 and the hypotenuse is 400.  The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio.  Setting up the ratio using our info:

sin\theta=\frac{30}{400}

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

sin^{-1}(

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.

3 0
3 years ago
7% of 120 (Need work shown)
inessss [21]
1% of 120 is 1.2, so 7 *1.2 = 8.4

Also you could set up the proportion 7/100 = x/120 and solve for x.
3 0
2 years ago
Read 2 more answers
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