Answer:
x=0.27
Step-by-step explanation:
The given expression is
To solve this equation, we graph the functions:
and
From the graph, the two curves intersects at x=-0.24 and x=0.27.
But the domain of the logarithmic function is x>0
Therefore x=0.27
R^2π=500in^2
r^2=500 in^2/π
r=(500 in^2/π)^(1/2)= 12.62 in
plug it in:
db=3da=3(2(12.62))= 75.69
r of b = 75.69/2=37.85in
A of b = (37.85in)^2π = 8.22 in^2
Answer.....15ft by 12ft
Explanation:
Area = Length × Width
180 = LW....make W the subject of formula
;W = 180/L
Perimeter = 2L + 2W
54 = 2L + 2(180/L)...sub W with the formula above...
then simplify the equation and obtain...
2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..
;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...
where W = 180/15 = 12ft
there you have...Length = 15ft and Width = 12ft
Answer:
97
Step-by-step explanation:
Given the following conditions :
board measuring 1x100, each square is numbered from 1 to 100
Three colors are used to paint the squares from left to right in the sequence :
one blue, two reds and three green squares in a repeated pattern.
What is the highest numbered square that is painted blue?
The sequence of painting is repeated after :
(1 + 2 + 3) = 6 successive squares
Since the number of squares = 100
Maximum complete repetition possible :
100 / 6 = 16 remainder 4
Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)
On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.
Hence, the highest numbered square that is painted blue is 97
