Answer:
11.1
Step-by-step explanation:
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First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
Answer:
Option C:
Step-by-step explanation:
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The sum of all angles in a triangle is 180°.
Add up all the angles and solve for x by setting the equation to 180°.
<h3>Solve for x</h3>
- ∠a + ∠b + ∠c = 180°
- (48 - x)° + (9x - 38)° + 90° = 180°
- 10° + 8x + 90° = 180°
- 8x = 180° - 90° - 10°
- 8x = 80°
- x = 10°
Now that we solved for x, we can plug it back into each equation to solve for each angle.
<h3>Angle A</h3>
<h3>Angle B</h3>
- 9x - 38°
- 9(10°) - 38°
- 90° - 38°
- 52°
<h3>Angle C</h3>
The answer is Option C:
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