4.19 inches
use the formula: central angle/360°=arc length/8 pi
60/360 = 0.1667
0.1667 = length of minor arc /8 pi
multiply 8pi x 0.1667 to find length of arc
the minor arc is about 4.19inches
Answer:$1.23
Step-by-step explanation:
Answer:
45
Step-by step
What do we already know about the equation?
We know that they EACH bought a hockey puck($17) and 2 shirts
Half of 214 is 107. So they had to have spent 107 separately
So we make the equation and let s represent shirts
2s + 17 = 107
- 17 -17
2s= 90. DIVIDE by 2
s = 45
Answer:
Option b. Two solutions
Step-by-step explanation:
In order to find how many real number solutions the equation has we have to solve it
Given equation: -4x² + 10x + 6 = 0
taking 2 common from the equation
2(-2x² + 5x + 3) = 0
-2x² + 5x + 3 = 0
taking minus sign common from the above equation
2x² - 5x - 3 = 0
We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²
2x² - 6x + x - 3 = 0
taking common above
2x(x-3) + 1(x-3) = 0
taking (x-3) common
(2x+1)(x-3) = 0
2x + 1 = 0
2x = -1
x = ![\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D)
x - 3 = 0; x = 3
the solutions are
![x=\frac{-1}{2},3](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-1%7D%7B2%7D%2C3)
Both values are real numbers, therefore correct option is b