Answer:
13.73 sq mm
Step-by-step explanation:
Area of Square - Area of Circle = Area of Shaded Region
if radius of circle is 4 then diameter is 8
the diameter is the same as the length of each side of the square
so area of square = 8² or 64
Area of Circle = 16π
64 - 16π ≈ 13.73
To find where on the hill the canonball lands
So 0.15x = 2 + 0.12x - 0.002x^2
Taking the LHS expression to the right and rearranging we have -0.002x^2 + 0.12x -
0.15x + 2 = 0.
So we have -0.002x^2 - 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x^2 + 0.03x -2 = 0.
This is a quadratic eqn with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25. The second solution y = 0.15 * 25 = 3.75
Answer:
The probability that a defective rod can be salvaged = 0.50
Step-by-step explanation:
Given that:
A machine shop produces heavy duty high endurance 20-inch rods
On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.
If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.
Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches
Now:
P(X ≤ 5) = 
= 0.25
P(X ≥ 15) = 
= 0.25
The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)
= 0.25+0.25
= 0.50
∴ The probability that a defective rod can be salvaged = 0.50
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
Let's solve!
Step-by-step explanation:
2x + 6x - 9 = 0
\____/
8x - 9 = 0
+ 9 + 9
<u>8x </u> = <u>9</u>
8 8
x = 9/8 --or-- 
x = 1.125
I hope this helps!