Answer:
Side lengths = 1.68 ft and width = 3.36 ft.
Step-by-step explanation:
Let the side lengths of the window be L and the width = 2r ( r is also the radius of the semi-circle).
So we have
Perimeter = 2L + 2r + πr = 12
Area = 2rL + 0.5πr^2
From the first equation
2L = 12 - 2r - πr
Substitute for 2L in the equation for the area:
A = r(12 - 2r - πr) + 0.5πr^2
A = 12r - 2r^2 - πr^2 + 0.5πr^2
A = 12r - 2r^2 - 0.5πr^2
We need to find r for the maximum area:
Finding the derivative and equating to zero:
A' = 12 - 4r - πr = 0=
4r + πr = 12
r = 12 / ( 4 + π)
r = 1.68 ft.
So the width of the window = 2 * 1.68 = 3.36 ft.
Now 2L = 12 - 2r - πr
= 12 - 2*1.68 - 1.68π
= 3.36
L = 1.68.
Answer: common difference is 14
Step-by-step explanation:
a,a+d,a+4d
7,7+d,7+4d
(7+d)/7=(7+4d)/(7+d)
(7+d)(7+d)=7(7+4d)
49+14d+d^2=49+28d
d^2-14d=0
d(d-14)=0
d=0 or d-14=0
d=14
Answer:
Conditional probability is defined as the likelihood of the occurrence of an event or outcome, based on the occurrence of a previous event or outcome.
Step-by-step explanation:
<h2>
Answer:</h2>
Hope it work for u
<h2>
Step-by-step explanation:</h2>
We can make points from the given figure as ,
1 point =(x1, y1)=(-2, -3)
2nd point =(x2, y2)= (0, -6)
3rd point = (x3, y3)=(2 , -9)
Now the equation of line is,
<h2>
Y=m X+ c where m is slope and c is constant </h2>
now two point formula of slope is ,
<h2>
m = y2-y1/x2-x1</h2>
putting points in it we get
m=(-6-(-3))/(0-(-2)
m=-3/2 is slope
Now to find C putt the value of m and 3rd point in equation of line we get
y3=m(x3)+c
-9=(-3/2)(2) +c
C= -9+3
C=-6 is value of c
Now at last putt the value of C and m in equation of line we get the required equation ,
<h2><u>
Y=(-3/2)X-6 </u>
Ans</h2>
Answer:
anything less than 12
Step-by-step explanation:
