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Mars2501
2 months ago
10

The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other squar

e.
What is the length of each side of the larger square?

(help)
Mathematics
2 answers:
tester [12.3K]2 months ago
8 0

^^^ what they mentioned is accurate.

Leona [12.6K]2 months ago
7 0

Let the length of one square be x. Area will be x*x = x².

Thus, the second square's side length is 2x, leading to an area of 2x*2x = 4x².

The total area combined is x² + 4x² = 5x².

This total area equals 45 cm².

Hence, 5x² = 45. Dividing each side by 5 results in
x² = 45/5, so
x² = 9. By taking the square root of both sides, we find
x = √9, which gives
x = 3.

Consequently, the length of the larger square is 2x, which equals 2*3 = 6 cm.
The length of the larger square is 6cm.

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You are in an airplane 5.7 miles above the ground. What is the measure of BD⌢
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Result:

6.1°; 425.86 m.

Step-by-step breakdown:

The information provided states that the airplane is at an altitude of 5.7 miles above ground level, while the "radius of Earth is about 4000 miles." Thus,

θ = 2 × cos^-1 (a/ (a + b)), where a = 4000 miles, and b = 5.7 miles.

θ = 2 × cos^-1 (4000/ (4000 + 5.7)) = 6.1°.

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Consequently, BD⌢ measures at 6.1° and the distance corresponding to this section of Earth is 425.86 meters.

6 0
2 months ago
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