Answer:
There are 30 students in the class
Step-by-step explanation:
we can write a ratio as:
8:10 as 24:x
Writing this as an equation gives:
8
10
=
24
x
We can now solve for
x
while keeping the equation balanced:
10
x
×
8
10
=
10
x
×
24
x
10
x
×
8
10
=
10
x
×
24
x
x
×
8
=
10
×
24
8
x
=
240
8
x
8
=
240
8
8
x
8
=
30
x = 30
Use a half-angle identity to find the exact value of sin pi/8
Answer:
1/98
Step-by-step explanation:
Step 1: Translate statement into equation.
Step 2: Multiply both sides by 7x.
Step 3: Divide both sides by 98.
Step 4: Check if solution is correct.
Therefore, the answer is 1/98.