What is the length of the radius of the larger cone(the larger cone has a slant height of 15) when the smaller cone has a radius of 8 and a slant height of 12ft , .

The radius of the larger cone is equal to 10 ft.

Step-by-step explanation:

For the smaller cone, we have:

radius = r = 8 ft

slant height = l = 12 ft

slant angle = Ф = sine inverse(l/r)

= sine inverse(8/12)

Ф = 42°

Now

For larger cone, with same slant angle,

Slant height = 15 ft

Radius = r =?

r = l sin(Ф)

r = 15*sin(42°)

r = 15*0.669

r = 10 ft

Hence, the radius of a cone with slant height 15 ft and slant angle 42° would be equal to 10 feet.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )