Answer:
see below
Step-by-step explanation:
The first step is to read the problem
Then you need to make a plan
Implement the plan
Then evaluate the answer to see if it makes sense
Answer:
The center is (5, -2) and the radius is 9/2
Step-by-step explanation:
The equation of a circle can be written by
(x-h) ^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-5)^{2}+(y+2)^{2} = 81/4
( (x-5)^{2}+(y- -2)^{2} = (9/2)^2
The center is (5, -2) and the radius is 9/2
Answer: The side of the playground is around 10 meters long
Step-by-step explanation:
use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.
Usually

since we know a and b are the same length (sides of a square are congruent) we would have

We know that c is 14 so

100 centimeters is equal a meter so you can say 345 centimetres is the same as 3,45 metres
i hope i helped you somehow
Answer:
DG = 30
Step-by-step explanation:
Given:
DH = 6
DE = 4
EF = 16
Required:
DG
Solution:
DG = DH + HG
DG = 6 + HG
Let's find HG
Given that HE is parallel to the third side of ∆DGF, based on the side-splitter theorem, the other two sides of ∆DGF are divided proportionally.
Therefore,
DH/HG = DE/EF
6/HG = 4/16
Cross multiply
HG*4 = 16*6
HG = 96/4
HG = 24
✔️DG = 6 + HG
DG = 6 + 24
DG = 30