Answer:
x = 18
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x)6 = (8+10)* 8
6*(6+x) = 8(18)
Divide each side by 6
6+x = 8(18)/6
6+x = 8*3
6+x = 24
Subtract 6 from each side
6+x-6 =24-6
x = 18
(a)
Let's assume
number of nickels is n
total number of coins is 21
so, number of dines will be 21-n
1 nickel =$0.05
1 dimes=$0.10
total value is 1.65
so, we can set up equation
now, we can solve for n
so, number of nickels is 9
number of dimes is 21-9=12..........Answer
(b)
we are given
value of the nickels =5n
we know that
value of dimes =2* value of nickels
so, we can plug it
value of dimes =2*5n
value of dimes =10n...............Answer
Answer:
( x-7)^2+(y-6)^2 = 25
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x-7)^2+(y-6)^2 = 5^2
( x-7)^2+(y-6)^2 = 25
The first one
Explanation: 5x +20 = 120
You start by moving the 20 to other side by subtracting it leaving you with
5x=100
Then you divide 5 into each side since the x has a 5 next to it leaving you with
X=20 since you get rid of the number on the side of the x when you divide
Number Two:
The formula to find the volume of a triangular prism is the area of the triangle/base multiplied by the height.
Finding the area of the base:
10×15=150×0.5=75
Now multiply it by its height.
75×25
1,875 m³
Number Four:
You need to multiply the width times the height times the length, or in any arrangements. Everything needs to get mutiplied together.
1×2.5
2.5×9
22.5 cm³