Samantha is constructing a door frame with base 30 inches, height 84 inches, and diagonal 91 inches. A sketch of the door frame is shown.

The door is not in rectangle shape.

Step-by-step explanation:

Given:

Length of base = 30 inches

Height of door = 84 inches

Diagonal of door = 91 inches

Find:

The door is rectangle or not

Computation:

Using Pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

So,

91² = 84² + 30²

8,281 = 7,056 + 900

8,281 ≠ 7,956

So we say that the given door angle is not 90°

So,

The door is not in rectangle shape.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.