Y^2-9^2
(y-9)(y+9)
To see if its right:
y*y+y*9-9*y-9*9
y^2+9y-9y-81
y^2-9^2
Answer:
31.5 litres
Step-by-step explanation:
If Mel uses all 30 litres of yellow paint, then:
5 / 2 = 30 / x
5x = 60
x = 12
Mel would need 12 litres of blue paint, but she only has 9 litres. So the amount of yellow paint she needs is:
5 / 2 = x / 9
2x = 45
x = 22.5
Mel will use 22.5 litres of yellow paint with 9 litres of blue paint to make a total of 31.5 litres of green paint.
Hello,
tan 60°=√3
d/39=tan 60°==>d=39/√3=39√3/3=13√3=22,516660498... (m)
Since you mentioned calculus, perhaps you're supposed to find the area by integration.
The square is circumscribed by a circle of radius 6, so its diagonal (equal to the diameter) has length 12. The lengths of a square's side and its diagonal occur in a ratio of 1 to sqrt(2), so the square has side length 6sqrt(2). This means its sides occur on the lines 
and 
.
Let 
be the region bounded by the line 
and the circle 
(the rightmost blue region). The right side of the circle can be expressed in terms of 
as a function of 
:
Then the area of this circular segment is
Substitute 
, so that 
Then the area of the entire blue region is 4 times this, a total of 
.
Alternatively, you can compute the area of in polar coordinates. The line becomes 
, while the circle is given by 
. The two curves intersect at 
, so that
so again the total area would be 
.
Or you can omit using calculus altogether and rely on some basic geometric facts. The region is a circular segment subtended by a central angle of 
radians. Then its area is
so the total area is, once again, .
An even simpler way is to subtract the area of the square from the area of the circle.
Answer: W=20 and L=55
Step-by-step explanation:
2(3w-5)+2(w)=150
6w-10+2w=150
8w-10=150
8w=160
W=20
L= 3(20)-5
=60-5
=55
