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Mathematics

1 answer:

Dimas [21]3 years ago

8 0

Answer:

Perimeter = 82 units

Step-by-step explanation:

Find:

Perimeter

Computation:

Unknown height = 13 + x

So,

25² = x² + 24²

x = 7

So,

Unknown height = 13 + 7

Unknown height = 20 unit

Perimeter = 25 + 24 + 13 + 20

Perimeter = 82 units

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A rectangle has a length that is 2 greater then its width. The area is 15 square centimeters. what are the dimensions of the rec

GaryK [48]

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Answer:

length 5 cm
width 3 cm

Step-by-step explanation:

Your knowledge of multiplication facts tells you 3×5 = 15. Your knowledge of addition facts tells you 3+2 = 5. So, the dimensions 3 cm and 5 cm are the width and length of the rectangle, respectively.

3 0

3 years ago

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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