PLEASE HELP ASAP! WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!

Marta is designing a new cone to be used by the department of transportation. In order to design a cone that will withstand high winds, she is planning to base the design on a 30-60-90 triangle. After determining the correct side lengths for the cone, she will create the cone by rotating the triangle along its vertical side.

If the base angle of the cone needs to measure 60° and the cone needs to be 24 inches tall, approximately how wide will the base of the resulting cone need to be?

A.

83.14 inches

B.

27.72 inches

C.

13.86 inches

D.

41.57 inches

EDIT- it was b

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm

answer: list the statements and i will follow up!

step-by-step explanation: