Answer: the length is 3x+10
perimeter= 2 (width+length)
108=2(x+3x+10)
54=4x+10
4x=44
x=11(this is the width)
3x+10= 43(this is the length)
Step-by-step explanation:
The complement of an angle is
angle+complement=90 degrees
angle+supplement=180
so if angle+22=90
subtract 22
angle=68
supplement=
68+supplement=180
subtract 68
supplement=112
Answer:
2260.8 ft ^ 2 / s
Step-by-step explanation:
To solve the problem we first know that:
dr / dt = 6 ft / s
r = 60 ft
Now they ask us for dA / dt, the change of the area with respect to time, by chain rule we have to:
dA / dt = dA / dr * dr / dt
we have that A = pi * r ^ 2
d (pi * r ^ 2) / dr
deriving the above we are left with:
2 * pi * r
replacing:
dA / dt = (2 * pi * r) * 6
dA / dt = 2 * 3.14 * 60 * 6
dA / dt = 2260.8 ft ^ 2 / s
therefore the area change per second is 2260.8 ft ^ 2 / s
Answer:
<em>The equation of the parallel line to the given equation is </em>
<em>3 x-4 y = -4 and </em>
<em>The equation of the parallel line to the given equation is </em>
<em></em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )
<em>The equation of the parallel line to the given equation is </em>
<em>3 x - 4 y = k </em>
it is passes through the point ( -4 , -2)
3 (-4) - 4 ( -2) = k
-12 +8 = k
k = -4
<em>The equation of the parallel line to the given equation is </em>
<em>3 x- 4 y = -4 </em>
<em>Dividing '4' on both sides , we get</em>
<em></em><em></em>
<em></em><em></em>
<em></em><em></em>
<u><em>Conclusion</em></u>:-
∴ <em>The equation of the parallel line to the given equation is </em>
<em>3 x- 4 y = -4 </em>
<em>and </em>
<em>The equation of the parallel line to the given equation is </em>
<em> </em>