I'm going with C. scalene triangle
Three and twenty-nine ten-thousandths
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
The measure of arcPR and arcRPT are 83 and 208 degrees respectively
The measure of arc ST will be gotten using the expression below:
arcPS = arcPT + arcST
Given the following
arcST = arcPS - arcPT
arcST = 180 - 125
arcST = 55 degrees
Similarly, arcPR = 180 - arcRS
arcPR = 180 - 97
arcPR = 83 degrees
arcRPT = arcPR + arcPT
arcRPT = 83 + 125
arcRPT = 208 degrees
Hence the measure of arcPR and arcRPT are 83 and 208 degrees respectively
Learn more about circles here: brainly.com/question/24375372