To find the circumference of the circle you need to do dπ. 22×π is 22π. That equals approximately 69.12. Since he walks around it 5 times, 69.12×5 is 345.6 yards.
Answer:
Step-by-step explanation:
A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,
In the given triangle ,
- Value of base = 1
- Value of hypotenuse = √2
On substituting the respective values ,
For rationalizing the denominator , multiply numerator and denominator by √2 , we have,
Simplify ,
Answer:
no solution
Step-by-step explanation:
simplifying
6(y + -5) = 2(10 + 3y)
reorder the terms:
6(-5 + y) = 2(10 + 3y)
(-5 * 6 + y * 6) = 2(10 + 3y)
(-30 + 6y) = 2(10 + 3y)
-30 + 6y = (10 * 2 + 3y * 2)
-30 + 6y = (20 + 6y)
add '-6y' to each side of the equation.
-30 + 6y + -6y = 20 + 6y + -6y
combine like terms: 6y + -6y = 0
-30 + 0 = 20 + 6y + -6y
-30 = 20 + 6y + -6y
combine like terms: 6y + -6y = 0
-30 = 20 + 0
-30 = 20
solving for:
-30 = 20
the left and right sides are not equal, so there isn't any solution!
Answer:
B x=-6
x=2
Step-by-step explanation:
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
