The answer is 10............
Answer:
Step-by-step explanation:
m∠5 +m∠6 = 180° ( the angles form a line)
m∠2 + m∠3 = m∠6 ( exterior angle is the sum of 2 not adjacent angles)
m∠2+m∠3+m∠5= 180° (sum of angles in a triangle is 180°)
Answer:
270 in
Step-by-step explanation:
the least amount of fabric she would need is equal to the area of the mat
the mat is in the shape of a rectangle
Area of a rectangle = length x width
15 x 18 = 270 in²
Answer:

Step-by-step explanation:
The computation of the Julie drink altogether is as follows:

We simply added the total liter of water that she took before going jogging and after her jog
You can use the sin function to solve this.
Think of a triangle with the conveyor being the longest side (hypotenuse). The height (the vertical side) is H=17m. The angle of elevation is a=36.2. We are looking for length of the hypotenuse, L.
The sin is the ratio of height to hypotenuse: sin(36.2) = H/L = 17/L
Now solve for L:
L = 17/sin(36.2) = 17m/0.59 = 28.78m
The conveyor needs to be approx. 28.8m long to get close to the max. efficient angle.