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Mathematics 23 Online
OpenStudy (anonymous):

help 5 medals

OpenStudy (anonymous):

I'LL TRY

OpenStudy (anonymous):

Question 1 (Essay Worth 4 points) The conical hat shown here is a traditional sun-protective straw hat originating in eastern Asia. What is the approximate outer surface area of one of these hats that has a radius of 9 inches and a slant height of twelve inches? Keep in mind that there is an opening in the hat where the base surface would normally be. Show the steps of your solution and explain your work.

OpenStudy (anonymous):

Question 2 (Essay Worth 4 points) The surface area of this pyramid is one hundred eighty-nine square centimeters. The area of the square base is forty-nine square centimeters. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.

OpenStudy (anonymous):

Oh... um try @MarrisaAthey I'm only in 7th grade sorry D:

OpenStudy (anonymous):

@Creepy

OpenStudy (anonymous):

I'm not sure for question 1. But Question 2: Assuming the square base is included as part of the surface area, the total surface area is (total area) = (base area) + 4*(triangular face area) 189 cm^2 = 49 cm^2 + 4*(triangular face area) (put the given numbers into the equation) 140 cm^2 = 4*(triangular face area) (subtract the base area) 140/4 cm^2 = (triangular face area) (divide by 4) 35 cm^2 = (triangular face area)

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

Question 1: you first need to find the height of the cone using the Pythagorean Theorem

OpenStudy (anonymous):

a2+b2=c2 a=9, b=height, c=12

OpenStudy (anonymous):

solve for b

OpenStudy (anonymous):

7.94 just to be safe-oops you didn't need to find the height haha that's for the volume..sorry! Now plug everything into the SA formula π(9)(12)+π(9)

OpenStudy (anonymous):

Your answer should be 339.292

OpenStudy (anonymous):

ok thank u ;)

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