Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
<em>Expand:</em>
2W² +W= 28
<em>-28 on both sides:</em>
2W² +W -28= 0
<em>Factorise</em><em>:</em>
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
The width (x) is 18. I wrote it out in case you need to show your work. Your welcome.
Answer: 
Step-by-step explanation:
The area of a circle having radius <em>r</em> and center <em>(h,k)</em> is given by :-
(i)
We have given that, Center of the Circle = T ( 5,-1)
Radius = 16 units
Substitute these values in (i) , we get
Hence, the equation represents a circle with centerT(5,-1) and a radius of 16 units would be 
.
Answer:
P(6) = 5
Step-by-step explanation:
The dice is cast 30 times (k = 30)
So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning
5 x 1
5 x 2
5 x 3
5 x 4
5 x 5
5 x 6
____ +
30 casts in total (evenly distributed over all numbers of the dice)
P(6) = 1/6 * 30
P(6) = 5
