Answer:
314 ft²
Step-by-step explanation:
(100 × pi) ft²
100 × 3.14 ft²
314 ft²
Answer:
Step-by-step explanation:
we know that
The area of rectangle is equal to
we have
substitute the given values in the formula of area
Remember that
----> by completing the square
substitute
Simplify
Answer:
Step-by-step explanation:
Given
= 
= 
× 
← cancel (x + 50)(x + 1) on numerator/denominator
=
Answer:
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3).
Step-by-step explanation:
xy = (x + y)^4
Using implicit differentiation:
x dy/dx + y*1 = 4 (x + y)^3 * (1 + dy/dx)
x dy/dx + y = 4 (x + y)^3 + 4 dy/dx (x + y)^3
x dy/dx - 4 dy/dx (x + y)^3 = 4 (x + y)^3 - y
dy/dx( x - 4(x + y)^3) = 4 (x + y)^3 - y
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3)
Answer:
4 13/33
Step-by-step explanation
If a decimal is repeating, then the fraction would be the repeating number (in this case, 39) over the largest "nine number." If the repeating decimal was only .3 repeating then the fraction would be 3/9. If the fraction was .789 repeating, then the fraction would be 784/999. My teacher used to call this the "nine rule" but that isn't the actual name, so don't call it that. It is a nice way of remembering it though. Also, don't forget the whole number. because the .39 is repeating, that would be 39/99 as a fraction and then the whole number 4 in front of it - 4 39/99. also don't forget to simplify the fraction when you can. In this case, you can simplify 39/99 into 13/33 so the correct answer is 4 13/33.
