Answer:
See attachment.
Step-by-step explanation:
We want to graph the linear inequality y<2
We first of all graph the corresponding linear equation y=2 with a dashed line because all points on this line do not satisfy the inequality.
We then shade below the line y=2, to show that all points below the boundary line are solution to the inequality y<2
The pattern here is the number times 3 then plus 1
We can check this by plugging it in.
1×3=3
3+1=4
4 is the next number in our sequence so the pattern works.
We can continue to check this with the rest of our sequence.
4×3=12
12+1=13
13 is the next number in our sequence so the pattern works.
13×3=39
39+1=40
40 is the next number in our sequence so the pattern works.
40×3=120
120+1=121
121 is the next number in our sequence so the pattern works.
We can find the next numbed in the sequence by continuing the patter
121×3=363
363+1=364
So the next number in the sequence is 364
The entire circle has a central angle of 360°.
Because the radius is 6 mi, the area of the circle is
π(6)² = 36π mi².
The sector has a central angle of 60°, therefore it occupies 60/360 = 1/6 of the area of the circle.
The area of the sector is
(1/6)*36π = 6π mi² = 18.85 mi²
Answer: 6π mi² or 18.85 mi².
Step-by-step explanation:
fng-mrxb-dop p.l.e.a.s.e join
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.
Thus, the length of fencing needed is given by
P = x + 2y
The area of the rectangle is given by xy,
i.e.
Substituting for y into the equation for the length of fencing needed, we have
For the amount of fencing to be minimum, then
Now, recall that
Thus, the length of fencing needed is given by
P = x + 2y = 24 + 2(12) = 24 + 24 = 48.
Therefore, 48 feets of fencing is needed to enclose the garden.
