Answer:
0.314 gallon is required to cover a circular region with a radius of 40 feet
Step-by-step explanation:
Given
a gallon of paint will cover about 400 square feet in a single coat
To Find:
Number of gallons required to cover a circular region with a radius of 40 feet = ?
Solution:
Step 1: Finding Area of the circular region
The area of the circular region, A = 
where r is the radius
Now substituting r = 40 , we get
A = 
Step 2: Finding the number of gallons of paint required
To cover 400 sq feet = 1 gallon
so to cover 1 square feet = 
gallon
Now to cover 125.6 ft we need
=> 0.314 gallon
Answer:
The integer that represents the amount of debt she has remaining is $9
Step-by-step explanation:
$15 - $6 = $9
You simplify a fraction by finding it's greatest common factor. A greatest common factor is what both numbers are divisible by. If they can both be divided by two, then you've simplified them a little bit. Keep going until you can't find a common number that can be divided by the two, and you've got your simplified fraction. For example, 10/5 = 1/2 since both 10 and 5 is divisible by 5.
ANSWER:
Let t = logtan[x/2]
⇒dt = 1/ tan[x/2] * sec² x/2 × ½ dx
⇒dt = 1/2 cos² x/2 × cot x/2dx
⇒dt = 1/2 * 1/ cos² x/2 × cosx/2 / sin x/2 dx
⇒dt = 1/2 cosx/2 / sin x/2 dx
⇒dt = 1/sinxdx
⇒dt = cosecxdx
Putting it in the integration we get,
∫cosecx / log tan(x/2)dx
= ∫dt/t
= log∣t∣+c
= log∣logtan x/2∣+c where t = logtan x/2
Answer:
4x
Step-by-step explanation:
