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>
Step-by-step explanation:
0.5 ( r + 2.75 ) = 3
r + 2.75 = 3 / 0.5
r + 2.75 = 6
r = 6 - 2.75
r = 3.25
We are given
First equation:

we can use formula

slope is m=1
y-intercept is b=-1
Second equation:

we can use formula

slope is m=-2
y-intercept is b=5
Graph:
We can see that
both curves intersect at (2,1)
so, solution is x=2 and y=1.................Answer
Answer:
The original price of an item less a discount of 20% is 0.8p where p is the original price
Step-by-step explanation:
Here, we want to write an algebraic expression that represents the original price of an item less a discount of 20%
Let the original price of the item be p
The meaning of the ‘less’ is that we are subtracting 20% of the price from the original price ;
So 20% of the price will be 20/100 * p = 20p/100 = p/5 = 0.2p
So let’s take this away from the original price p
That will be;
p - 0.2p = p(1-0.2) = 0.8p
Answer: 9 students
Step-by-step explanation:
15+8+3=26
35-26= 9