Answer:
<u>a = 60° or π/3</u>
Step-by-step explanation:
<u>Given :-</u>
sin² a/2 - sin a/2 + 1/4
<u>To find :-</u>
a
<u>Solving :-</u>
sin² a/2 - sin a/2 + 1/4 = (sin a/2 - 1/2)² = 0
sin a/2 - 1/2 = 0
sin a/2 = 1/2
a/2 = 30°
<u>Solution :-</u>
<u>a = 60° or π/3</u>
Answer:

Step-by-step explanation:
First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.
The area of the triangle is given by the formula:

where b is the base:
and h is the height: 
thus, in this case we have:

And now, the volume will be the area of the triangle multiplied by the length
of the prism:

Substituting the known values:

The volume in cubic centimeters is 150.
Answer:
zero slope
Step-by-step explanation:
horizontal lines are zero slope because they are not slanted (slope)
this is a horizontal line.
Answer:
36 and 54
Step-by-step explanation:
54-36=18
54+36= 90