Answer:
30.4m
Step-by-step explanation:
Diameter(D) = 2r (radius)
D = 9.7m
r = 9.7m / 2
= 4.85m
C = 2πr
= 2π × 4.85m
= 30.47344873982099m
rounding - Leave it as is if the digit in the tenth is 4 or lower
- round it up if it's 5 or higher.
~~ 30.4m
Answer:

Step-by-step explanation:
The straight line passes through (0,1) and (2,-2).
Equation of a straight line passing through two points (x1,y1) and (x2,y2)
is given by:



Everything to the left of the line is shaded.
We have to visualize the graph:the straight line has a positive y-intercept and a negative slope.The graph is given in the attachment below.
From the figure we can see origin lies on the shaded region.Hence (0,0) should satisfy the inequality.
LHS=y=0
RHS=
LHS<RHS as 0<1
Hence , the inequality is:

Answer: x=3
Step-by-step explanation:
To find the zeros, you want to first factor the expression.
x³+x²-36
(x-3)(x²+4x+12)
Now that we have found the factors, we set each to 0.
x-3=0
x=3
Since x²+4x+12 cannot be factored, we can forget about this part.
Therefore, the zeros are x=3. You can check this by plugging the expression into a graphing calculator to see the zeros.
Answer:
∠ 5 = 40°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°
∠ 5 and ∠ 2 are alternate angles and congruent , thus
∠ 5 = 40°