Answer:
Step-by-step explanation:
I did this bfor. You have got to trust me.
The mean is 21. The median is 15. The mode is 15. The range is 16.
For part A, if P is the center of that triangle, then PR and PT have the same length; therefore, triangle RPT is isosceles. For part B, by the definition of an incenter...if P is an incenter, then it is the place where all the angle bisectors meet. Therefore, angles SRP and PRT are congruent, as are angles STP and PTR. Since the vertex angle measures 64, then each of the base angles by the isosceles triangle theorem measure 58. Half of 58 makes the base angles within the smaller triangle measure 29. And if both of those measure 29, by the triangle angle-sum theorem, 180-29-29 = 122 And that's the measure of angle RPT. Eek.
Answer:
V = 38659.68 cm^3
Step-by-step explanation:
If we pretend A barrel is a cylinder we use V=πr^2h for the volume. We know h, but we need to find r
The question tells us the circumference, well how do we find circumference? C = 2πr, so we can use this to find r.
C = 2πr
56.52 = 2 * 3.14 * r Here divide both sides by 2*3.14
56.52/(2*3.14) = r
9 cm = r
Now we can just plug into the volume.
V=πr^2h
V = 3.14 * 9^2 * 152
V = 38659.68 cm^3
I feel I should mention this is all true if the circumference is in centimeters, since the question didn't specify.
