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Shalnov [3]
3 years ago
15

Plssss help me my test is due is 30 minutes.

Mathematics
2 answers:
Anon25 [30]3 years ago
6 0

Answer:i think its 1.75

Step-by-step explanation

RUDIKE [14]3 years ago
3 0

Answer: 1.5

Step-by-step explanation:

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Step-by-step explanation:

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An airplane departs airport A at a heading of 300 (N 60 W). After traveling 320 miles, the airplane adjusts its course to 350 (N
iris [78.8K]

The shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.

<h3>What is the law of cosine?</h3>

When the two sides of and one angle is known, then to find the third side, the law of cosine is used.

It can be given as,

c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

An airplane departs airport A at a heading of 300 (N 60 W). After traveling 320 miles, the airplane adjusts its course to 350 (N 10 W) and flies an additional 112 miles to reach airport B.

The image of this problem is attached below. In this image, the two sides 112 miles and 320 miles are shown and the angle between them is 130 degrees. Thus, the value of x is,

x=\sqrt{112^2+130^2-2(112)(130)\cos 130^o}\\x=401\rm\; miles

Hence, the shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.

Learn more about the law of cosine here;

brainly.com/question/4372174

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6 0
3 years ago
What number is 76.8% of 42.5
Law Incorporation [45]
To get the solution, we are looking for, we need to point out what we know. 

<span>1. We assume, that the number 42.5 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 42.5 is 100%, so we can write it down as 42.5=100%. </span>
<span>4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. </span>
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 76.8% of 42.5

42.5/x=100/76.8
<span>(42.5/x)*x=(100/76.8)*x       - </span>we multiply both sides of the equation by x
<span>42.5=1.30208333333*x       - </span>we divide both sides of the equation by (1.30208333333) to get x
<span>42.5/1.30208333333=x </span>
<span>32.64=x </span>
x=32.64

<span>now we have: </span>
<span>76.8% of 42.5=32.64</span>
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Answer:

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