Multiply 5% by 30
0.05*30 = 1.50
$1.50 is 5% of $30
Answer:
+
= ![3^{2}](https://tex.z-dn.net/?f=3%5E%7B2%7D)
Step-by-step explanation:
The equation of a circle is given as :
+
= ![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
Where (a,b) are the coordinate of the center and r is the radius of the circle.
The end point of the diameter is give as (-5, -3 ) and ( -11 , -3 ) , This means that we can find the coordinate of the center by finding the mid point of the end point. The mid point is calculated by :
Mid point = (
,
)
= -5
= -11
= -3
= -3
Substituting this values into the formula for finding mid point , we have
Mid point = (
, ![\frac{-3 - 3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%20-%203%7D%7B2%7D)
Mid-point = (-8 , -3)
Remember that Radius is half of the diameter , To find the diameter we must find the distance between the two end point using the formula for calculating distance between two points , that is
D = ![\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%20%20%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%20%20%5E%7B2%7D%7D)
Substituting the values :
D = ![\sqrt{(-11+5)^{2}+(-3+3)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-11%2B5%29%5E%7B2%7D%2B%28-3%2B3%29%5E%7B2%7D%7D)
D = ![\sqrt{36}](https://tex.z-dn.net/?f=%5Csqrt%7B36%7D)
D = 6
Therefore , The diameter i s 6
And since radius is half of the diameter , radius is thus
r = 6/2
r = 3
So , substituting the values gotten into the equation of circle , we have:
+
= ![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
+
= ![3^{2}](https://tex.z-dn.net/?f=3%5E%7B2%7D)
Answer:
13p
Step-by-step explanation:
Add 7 + 6.
=13
13 + p = 13p
13p is the simplified answer.