Angle PTG = arccos((18^2 + 13^2 - 27^2) / (2 x 18 x 13)) = arccos(-236 / 468) = arccos(-0.5043) = 120 degrees.
The triangle is an obtuse triangle (because one of the angles is greater than 90 degrees) and a scalene triangle (because all the sides are not equal).
If you have 10 boxes and you shade 3 of these boxes, then the fraction of shaded boxes is 3/10. The fraction of unshaded boxes would just be the remainder of boxes, or 7/10.
Answer:
that it has a radius of (84/(h×pi))^1/3
Angle 1 and 2 are supplementary angles, meaning they must add up to 180°. You can tell this because they share a side and together, their other side forms a straight line (and straight lines are 180<span>°).
Knowing this, you can make an equation to solve for x:
Angle 1 + Angle 2 = 180</span><span>°
</span>10x + 4 + 5x – 4 = 180°
15x = 180°
x = 12°
Knowing x = 12°, you can plug the value of x into the equation for angle 2 to find its measurement:
<span>Angle 2 = 5x – 4
</span>Angle 2 = 5(12°) - 4
Angle 2 = 56°
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Answer: A) 56°
