Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
1st question
angles 6 and 7
or
angles 2 and 3
2nd question
Angles 3 and 2
or
Angles 5 and 7
Answer:
"Let's say it is equal to 45 degrees, or π/4. Calculate the arc length according to the formula above: L = r * Θ = 15 * π/4 = 11.78 cm . Calculate the area of a sector: A = r² * Θ / 2 = 15² * π/4 / 2 = 88.36 cm² . You can also use the arc length calculator to find the central angle or the radius of the circle. "
Answer:D
Step-by-step explanation:
Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
Answer:
Option D
Step-by-step explanation:
Given f(x) =
g(x) = 2x + 3
Since,
This function is defined for the denominator is not equal to zero.
(2x + 3) ≠ 0
x ≠
Therefore, Option D will be the correct option.