Answer:
164
Step-by-step explanation:
x=(34.03*100)/20,75=164
Answer:
2
Step-by-step explanation:
Given the circle: 
To determine the length of the radius, we complete the square.
Step 1: Subtract 4 from both sides
Step 2: Divide the coefficient of x and y by 2, square it and add it to both sides
Step 3: Factorize the Left Hand side and simplify the Right Hand side.
Comparing with the standard form of the equation of a circle
r=2
Therefore, the radius of the circle is 2.
Answer:
Step-by-step explanation:
The the area of the rectangular pen be A = LW
L is the length
W is the width
Given
A = 3136ft²
3136 = LW..........1
Given the perimeter P = 2L+2W....... 2
From 1; L = 3136/W
Substitute into 2
P = 2(3136/W)+2W
P = 6272/W + 2W
In order to minimize the amount of material needed, then dP/dW = 0
dP/dW = -6272/W² + 2
0 = -6272/W² + 2
6272/W² = 2
cross multiply
6272 = 2W²
W² = 3136
W = √3136
W = 56ft
Since A = LW
3136 = 56L
L = 3136/56
L = 56ft
Hence the dimensions of the rectangular pen that minimize the amount of material needed is 56ft by 56ft
Answer:
94.2 yards
Step-by-step explanation:
1st path = d = 120 yards
c= pie d
c= 376.8 yards
2nd yard = r = 45 yards
c = 2 pie r
c = 2(3,14)(45)
c = 282.6 yards
then subtract yard 1 and yard 2 to get 94.2 yard
ANSWER :94.2 yards
Answer:
12
Step-by-step explanation:
Since 19% of the eggs are yellow,
then 19% of 63 = 11.97
Since eggs have no fractions, then the mean number of expected yellow eggs is 12.
