Answer:
Profit = Rs 100
Profit %age = 6.25%
Step-by-step explanation:
Cost Price = Rs 80
Cost Price for 20 kg = Rs 1600
Selling Price = Rs 85
<u><em>Profit for 1 kg</em></u> = Rs 85 - Rs 80
=> Rs 5 (For 1 Kg)
<u><em>Profit for 20 kg:</em></u>
=> Rs 5*20
=> Rs 100
<u><em>Now Profit %age:</em></u>
=> 
=> 0.0625 * 100
=> 6.25%
Answer:

Step-by-step explanation:
We are given the function:

And we want to finds its zeros.
Therefore:

Firstly, we can divide everything by -4:

Factor out an x:

This is in quadratic form. For simplicity, we can let:

Then by substitution:

Factor:

Substitute back:

By the Zero Product Property:

Solving for each case:

Therefore, our real and complex zeros are:

Answer:
Step-by-step explanation:
One - third = 1/3
then:
one third of a number = a*1/3 = a/3
Then the equation that represents this sentence is:
2 + a/3 = 8
process:
a/3 = 8 - 2
a/3 = 6
a = 6*3
a = 18
Check:
2 + 18/3 = 8
2 + 6 = 8
csc(2x) = csc(x)/(2cos(x))
1/(sin(2x)) = csc(x)/(2cos(x))
1/(2*sin(x)*cos(x)) = csc(x)/(2cos(x))
(1/sin(x))*1/(2*cos(x)) = csc(x)/(2cos(x))
csc(x)*1/(2*cos(x)) = csc(x)/(2cos(x))
csc(x)/(2*cos(x)) = csc(x)/(2cos(x))
The identity is confirmed. Notice how I only altered the left hand side (LHS) keeping the right hand side (RHS) the same each time.
Answer:
68.1 units²
Step-by-step explanation:
Start by finding the area of the rectangle...

Then, find the area of the semicircle...


Now, add the two to get...
54+14.1=68.1